Coulomb Blockade and Kondo Effect in Nanostructures
|
|
- Lambert Joseph
- 5 years ago
- Views:
Transcription
1 Coulomb Blockade and Kondo Effect in Nanostructures Marcin M. Wysokioski 1,2 1 Institute of Physics Albert-Ludwigs-Universität Freiburg 2 Institute of Physics Jagiellonian University, Cracow, Poland 2.VI.2010 Seminar Quantum dynamics in mesoscopic systems 1
2 Outline Charging energy and charge quantization Single electron transistor (SET) Coulomb staircase Cotunneling Kondo effect Summary 2
3 Charging energy and charge quantization number of electrons on the island must be integer charge Q produces electric field, which accumulates energy: Increase in energy by adding Nth electron to the island e e - (N-1) e - 3
4 How big does the island can be if we still want to observe discrete energy levels? consider cubic island of size L - number of atoms on island, where a is interatomic distance - mean level spacing, where is Fermi energy - charging energy Charging energy and charge quantization Large, what means that electron spectrum is approximately continuous. 4
5 Gate Charging energy and charge quantization n electrons in a box: Voltage drop on the two capacitances Box Electrostatic energy Box Where a charge induced in the island by the gate is and
6 Outline Charging energy and charge quantization Single electron transistor (SET) Coulomb staircase Cotunneling Kondo effect Summary 6
7 Single electron transistor (SET) Source Drain Source dot gate Drain Drain Gate Electrostatic energy: Source Gate Where,, and 7
8 Available electron tunneling processes and associated energy differences: From source Single electron transistor (SET) To source FS TD From drain Source dot Drain To drain TS FD 8
9 Single electron transistor (SET) Positive energy difference means that electron transport is forbidden Transport regime: ; and all other energy differences for other processes at N and N+1 must be positive In particular in order to get one-by-one electron tunneling: 9
10 Single electron transistor (SET) Coulomb diamonds in a SET (for and ) - Coulomb blockade - One-by-one transport 1->2 2-> Experimental results Kouwenhoven et al. Rep. Prog. Phys. 64 (2001) 10
11 Outline Charging energy and charge quantization Single electron transistor (SET) Coulomb staircase Cotunneling Kondo effect Summary 11
12 Coulomb staircase Explanation (roughly) I(V) Increase of the voltage V The current increase every time when additional electron is able to tunnel through the dot. Number of level on the dot between Fermi s Energies on the source and drain (picture) is tunned by the Voltage beetwen leads. Because of discrete energy level on 12 the dot we obtain staircase-like current-voltage dependence.
13 j Coulomb staircase Transition rate for an electron in the initial state using Fermi s golden rule: to a final state For a steady state averge charge at the island is constant. Current from source to dot: Rate of electrons entering the island occupied by n electrons, equals the rate of electrons leaving the island when occupied by (n+1) electrons: Normalization condition 13
14 Coulomb staircase I(V) The visibility of the staircase strongly depends on the sample parameters. V The steps become most pronounced if resistence and capacitance of one junction are large compared to those of the second junction 14
15 Outline Charging energy and charge quantization Single electron transistor (SET) Coulomb staircase Cotunneling Kondo effect Summary 15
16 u Cotunneling Higher order tunneling process, significant when sequential tunneling (first order tunneling process) is suppresed Tunneling through the intermediate virtual state which has larger energy than initial state Is allowed for a very short time by Heisenberg's uncertainty principle Inelastic cotunneling Elastic cotunneling 16
17 Outline Charging energy and charge quantization Single electron transistor (SET) Coulomb staircase Cotunneling Kondo effect Summary 17
18 Resistance Kondo effect Kondo effect in metals (left picture): resistance temperature dependence; (red) metal with magnetic impurities (cobalt in copper system), (blue) metal, (green) superconductor Temperature presence of magnetic impurities in metal below particular temperature (called Kondo temperature ) increase electron scattering Cloud of spins shielding impurity spin increase scattering 18
19 Conductance u Kondo effect Kondo effect in quantum dots (picture): (red) conductance curve for odd number of electron on the quantum dot; (blue)-conductance curve for even number on the quantum dot Temperature (picure): quantum dot with non zero total spin embedded between leads can be treated in simmilar way as a magnetic impurities in metals. 19
20 Kondo effect Spin flips Dh a) Adding electron to dot is prohibited by the Coulomb energy U, while removing electron from the dot would cost at least εo. However Heisenberg's uncertainty principle enable electron to tunnel through the impurity (virtual state) with spin flip. b) Many such events combine to produce Kondo effect leads to appearance of an extra energy resonance at Fermi energy. What at low temperature can significantly increase conductance through the quantum dot (new tunneling channel ) 20
21 Outline Charging energy and charge quantization Single electron transistor (SET) Coulomb staircase Cotunneling Kondo effect Summary 21
22 Summary To get discrete energy spectrum on an island, it has to be made out of few atoms Electrostatic energy of an island consisting N electrons. Positive energy difference in the tunneling process in SET means that electron transport is forbidden Coulomb diamonds 1->2 2-> Coulomb blockade -One-by-one transport 22
23 j Summary Increase of the voltage enable more and more electrons to tunnel what increase the current. Because charge is quantized we get staircase-like graph I(V) V cotunneling Kondo effect 23
24 Coulomb Blockade and Kondo Effect in Nanostructures Thank you for your attention! 24
Single Electron Transistor (SET)
Single Electron Transistor (SET) e - e - dot C g V g A single electron transistor is similar to a normal transistor (below), except 1) the channel is replaced by a small dot. 2) the dot is separated from
More informationBuilding blocks for nanodevices
Building blocks for nanodevices Two-dimensional electron gas (2DEG) Quantum wires and quantum point contacts Electron phase coherence Single-Electron tunneling devices - Coulomb blockage Quantum dots (introduction)
More informationsingle-electron electron tunneling (SET)
single-electron electron tunneling (SET) classical dots (SET islands): level spacing is NOT important; only the charging energy (=classical effect, many electrons on the island) quantum dots: : level spacing
More informationSingle Electron Transistor (SET)
Single Electron Transistor (SET) SET: e - e - dot A single electron transistor is similar to a normal transistor (below), except 1) the channel is replaced by a small dot. C g 2) the dot is separated from
More informationElectronic Quantum Transport in Mesoscopic Semiconductor Structures
Thomas Ihn Electronic Quantum Transport in Mesoscopic Semiconductor Structures With 90 Illustrations, S in Full Color Springer Contents Part I Introduction to Electron Transport l Electrical conductance
More informationKondo Physics in Nanostructures. A.Abdelrahman Department of Physics University of Basel Date: 27th Nov. 2006/Monday meeting
Kondo Physics in Nanostructures A.Abdelrahman Department of Physics University of Basel Date: 27th Nov. 2006/Monday meeting Kondo Physics in Nanostructures Kondo Effects in Metals: magnetic impurities
More informationThe Physics of Nanoelectronics
The Physics of Nanoelectronics Transport and Fluctuation Phenomena at Low Temperatures Tero T. Heikkilä Low Temperature Laboratory, Aalto University, Finland OXFORD UNIVERSITY PRESS Contents List of symbols
More informationCharging and Kondo Effects in an Antidot in the Quantum Hall Regime
Semiconductor Physics Group Cavendish Laboratory University of Cambridge Charging and Kondo Effects in an Antidot in the Quantum Hall Regime M. Kataoka C. J. B. Ford M. Y. Simmons D. A. Ritchie University
More informationElectronic transport in low dimensional systems
Electronic transport in low dimensional systems For example: 2D system l
More informationMajorana single-charge transistor. Reinhold Egger Institut für Theoretische Physik
Majorana single-charge transistor Reinhold Egger Institut für Theoretische Physik Overview Coulomb charging effects on quantum transport through Majorana nanowires: Two-terminal device: Majorana singlecharge
More informationCoulomb blockade in metallic islands and quantum dots
Coulomb blockade in metallic islands and quantum dots Charging energy and chemical potential of a metallic island Coulomb blockade and single-electron transistors Quantum dots and the constant interaction
More informationSPIN-POLARIZED CURRENT IN A MAGNETIC TUNNEL JUNCTION: MESOSCOPIC DIODE BASED ON A QUANTUM DOT
66 Rev.Adv.Mater.Sci. 14(2007) 66-70 W. Rudziński SPIN-POLARIZED CURRENT IN A MAGNETIC TUNNEL JUNCTION: MESOSCOPIC DIODE BASED ON A QUANTUM DOT W. Rudziński Department of Physics, Adam Mickiewicz University,
More informationEffet Kondo dans les nanostructures: Morceaux choisis
Effet Kondo dans les nanostructures: Morceaux choisis Pascal SIMON Rencontre du GDR Méso: Aussois du 05 au 08 Octobre 2009 OUTLINE I. The traditional (old-fashioned?) Kondo effect II. Direct access to
More informationFig. 8.1 : Schematic for single electron tunneling arrangement. For large system this charge is usually washed out by the thermal noise
Part 2 : Nanostuctures Lecture 1 : Coulomb blockade and single electron tunneling Module 8 : Coulomb blockade and single electron tunneling Coulomb blockade and single electron tunneling A typical semiconductor
More informationSingle Electron Tunneling Examples
Single Electron Tunneling Examples Danny Porath 2002 (Schönenberger et. al.) It has long been an axiom of mine that the little things are infinitely the most important Sir Arthur Conan Doyle Books and
More informationMesoscopic Nano-Electro-Mechanics of Shuttle Systems
* Mesoscopic Nano-Electro-Mechanics of Shuttle Systems Robert Shekhter University of Gothenburg, Sweden Lecture1: Mechanically assisted single-electronics Lecture2: Quantum coherent nano-electro-mechanics
More informationSupplementary Information for Pseudospin Resolved Transport Spectroscopy of the Kondo Effect in a Double Quantum Dot. D2 V exc I
Supplementary Information for Pseudospin Resolved Transport Spectroscopy of the Kondo Effect in a Double Quantum Dot S. Amasha, 1 A. J. Keller, 1 I. G. Rau, 2, A. Carmi, 3 J. A. Katine, 4 H. Shtrikman,
More informationChapter 8: Coulomb blockade and Kondo physics
Chater 8: Coulomb blockade and Kondo hysics 1) Chater 15 of Cuevas& Scheer. REFERENCES 2) Charge transort and single-electron effects in nanoscale systems, J.M. Thijssen and H.S.J. Van der Zant, Phys.
More informationNanoscience, MCC026 2nd quarter, fall Quantum Transport, Lecture 1/2. Tomas Löfwander Applied Quantum Physics Lab
Nanoscience, MCC026 2nd quarter, fall 2012 Quantum Transport, Lecture 1/2 Tomas Löfwander Applied Quantum Physics Lab Quantum Transport Nanoscience: Quantum transport: control and making of useful things
More informationLectures: Condensed Matter II 1 Electronic Transport in Quantum dots 2 Kondo effect: Intro/theory. 3 Kondo effect in nanostructures
Lectures: Condensed Matter II 1 Electronic Transport in Quantum dots 2 Kondo effect: Intro/theory. 3 Kondo effect in nanostructures Luis Dias UT/ORNL Lectures: Condensed Matter II 1 Electronic Transport
More informationA Tunable Kondo Effect in Quantum Dots
A Tunable Kondo Effect in Quantum Dots Sara M. Cronenwett *#, Tjerk H. Oosterkamp *, and Leo P. Kouwenhoven * * Department of Applied Physics and DIMES, Delft University of Technology, PO Box 546, 26 GA
More informationCoulomb blockade and single electron tunnelling
Coulomb blockade and single electron tunnelling Andrea Donarini Institute of theoretical physics, University of Regensburg Three terminal device Source System Drain Gate Variation of the electrostatic
More informationKondo effect in multi-level and multi-valley quantum dots. Mikio Eto Faculty of Science and Technology, Keio University, Japan
Kondo effect in multi-level and multi-valley quantum dots Mikio Eto Faculty of Science and Technology, Keio University, Japan Outline 1. Introduction: next three slides for quantum dots 2. Kondo effect
More informationCotunneling and Kondo effect in quantum dots. Part I/II
& NSC Cotunneling and Kondo effect in quantum dots Part I/II Jens Paaske The Niels Bohr Institute & Nano-Science Center Bad Honnef, September, 2010 Dias 1 Lecture plan Part I 1. Basics of Coulomb blockade
More informationQuantum Transport through Coulomb-Blockade Systems
Quantum Transport through Coulomb-Blockade Systems Björn Kubala Institut für Theoretische Physik III Ruhr-Universität Bochum COQUSY6 p.1 Overview Motivation Single-electron box/transistor Coupled single-electron
More informationQuantum Noise of a Carbon Nanotube Quantum Dot in the Kondo Regime
Quantum Noise of a Carbon Nanotube Quantum Dot in the Kondo Regime Exp : J. Basset, A.Yu. Kasumov, H. Bouchiat, and R. Deblock Laboratoire de Physique des Solides Orsay (France) Theory : P. Simon (LPS),
More informationConcepts in Spin Electronics
Concepts in Spin Electronics Edited by Sadamichi Maekawa Institutefor Materials Research, Tohoku University, Japan OXFORD UNIVERSITY PRESS Contents List of Contributors xiii 1 Optical phenomena in magnetic
More informationSuperconductivity at nanoscale
Superconductivity at nanoscale Superconductivity is the result of the formation of a quantum condensate of paired electrons (Cooper pairs). In small particles, the allowed energy levels are quantized and
More information3.45 Paper, Tunneling Magnetoresistance
3.45 Paper, Tunneling Magnetoresistance Brian Neltner May 14, 2004 1 Introduction In the past few decades, there have been great strides in the area of magnetoresistance the effect of magnetic state on
More informationarxiv: v1 [cond-mat.mes-hall] 28 Jun 2008
TOPICAL REVIEW arxiv:0806.4719v1 [cond-mat.mes-hall] 28 Jun 2008 Spin effects in single electron tunneling J. Barnaś 1,2 and I. Weymann 1 1 Department of Physics, Adam Mickiewicz University, 61-614 Poznań,
More informationLecture 8, April 12, 2017
Lecture 8, April 12, 2017 This week (part 2): Semiconductor quantum dots for QIP Introduction to QDs Single spins for qubits Initialization Read-Out Single qubit gates Book on basics: Thomas Ihn, Semiconductor
More informationElectron counting with quantum dots
Electron counting with quantum dots Klaus Ensslin Solid State Physics Zürich with S. Gustavsson I. Shorubalko R. Leturcq T. Ihn A. C. Gossard Time-resolved charge detection Single photon detection Time-resolved
More informationIntroduction. Resonant Cooling of Nuclear Spins in Quantum Dots
Introduction Resonant Cooling of Nuclear Spins in Quantum Dots Mark Rudner Massachusetts Institute of Technology For related details see: M. S. Rudner and L. S. Levitov, Phys. Rev. Lett. 99, 036602 (2007);
More informationCondensed Matter Physics 2016 Lecture 13/12: Charge and heat transport.
Condensed Matter Physics 2016 Lecture 13/12: Charge and heat transport. 1. Theoretical tool: Boltzmann equation (review). 2. Electrical and thermal conductivity in metals. 3. Ballistic transport and conductance
More informationThree-terminal quantum-dot thermoelectrics
Three-terminal quantum-dot thermoelectrics Björn Sothmann Université de Genève Collaborators: R. Sánchez, A. N. Jordan, M. Büttiker 5.11.2013 Outline Introduction Quantum dots and Coulomb blockade Quantum
More informationTransport through Andreev Bound States in a Superconductor-Quantum Dot-Graphene System
Transport through Andreev Bound States in a Superconductor-Quantum Dot-Graphene System Nadya Mason Travis Dirk, Yung-Fu Chen, Cesar Chialvo Taylor Hughes, Siddhartha Lal, Bruno Uchoa Paul Goldbart University
More informationarxiv:cond-mat/ v1 [cond-mat.mes-hall] 27 Nov 2001
Published in: Single-Electron Tunneling and Mesoscopic Devices, edited by H. Koch and H. Lübbig (Springer, Berlin, 1992): pp. 175 179. arxiv:cond-mat/0111505v1 [cond-mat.mes-hall] 27 Nov 2001 Resonant
More informationPG5295 Muitos Corpos 1 Electronic Transport in Quantum dots 2 Kondo effect: Intro/theory. 3 Kondo effect in nanostructures
PG5295 Muitos Corpos 1 Electronic Transport in Quantum dots 2 Kondo effect: Intro/theory. 3 Kondo effect in nanostructures Prof. Luis Gregório Dias DFMT PG5295 Muitos Corpos 1 Electronic Transport in Quantum
More informationDetermination of the tunnel rates through a few-electron quantum dot
Determination of the tunnel rates through a few-electron quantum dot R. Hanson 1,I.T.Vink 1, D.P. DiVincenzo 2, L.M.K. Vandersypen 1, J.M. Elzerman 1, L.H. Willems van Beveren 1 and L.P. Kouwenhoven 1
More informationCharges and Spins in Quantum Dots
Charges and Spins in Quantum Dots L.I. Glazman Yale University Chernogolovka 2007 Outline Confined (0D) Fermi liquid: Electron-electron interaction and ground state properties of a quantum dot Confined
More informationAtomic collapse in graphene
Atomic collapse in graphene Andrey V. Shytov (BNL) Work done in collaboration with: L.S. Levitov MIT M.I. Katsnelson University of Nijmegen, Netherlands * Phys. Rev. Lett. 99, 236801; ibid. 99, 246802
More informationChapter 3 Properties of Nanostructures
Chapter 3 Properties of Nanostructures In Chapter 2, the reduction of the extent of a solid in one or more dimensions was shown to lead to a dramatic alteration of the overall behavior of the solids. Generally,
More informationDavid J. Starling Penn State Hazleton PHYS 214
Being virtually killed by a virtual laser in a virtual space is just as effective as the real thing, because you are as dead as you think you are. -Douglas Adams, Mostly Harmless David J. Starling Penn
More informationSelf-assembled SiGe single hole transistors
Self-assembled SiGe single hole transistors G. Katsaros 1, P. Spathis 1, M. Stoffel 2, F. Fournel 3, M. Mongillo 1, V. Bouchiat 4, F. Lefloch 1, A. Rastelli 2, O. G. Schmidt 2 and S. De Franceschi 1 1
More informationManipulation of Majorana fermions via single charge control
Manipulation of Majorana fermions via single charge control Karsten Flensberg Niels Bohr Institute University of Copenhagen Superconducting hybrids: from conventional to exotic, Villard de Lans, France,
More informationCarbon based Nanoscale Electronics
Carbon based Nanoscale Electronics 09 02 200802 2008 ME class Outline driving force for the carbon nanomaterial electronic properties of fullerene exploration of electronic carbon nanotube gold rush of
More informationELECTRON TRANSPORT IN SEMICONDUCTOR QUANTUM DOTS. University of Technology, P.O. Box 5046, 2600 GA DELFT, The Netherlands
ELECTRON TRANSPORT IN SEMICONDUCTOR QUANTUM DOTS Seigo Tarucha 1, 2, David Guy Austing 2 and Toshimasa Fujisawa 2 and L.P. Kouwenhoven 3 1 Department of Physics and ERATO Mesoscopic Correlation Project
More informationGraphene. Tianyu Ye November 30th, 2011
Graphene Tianyu Ye November 30th, 2011 Outline What is graphene? How to make graphene? (Exfoliation, Epitaxial, CVD) Is it graphene? (Identification methods) Transport properties; Other properties; Applications;
More informationMaster thesis. Thermoelectric effects in quantum dots with interaction
Master thesis Thermoelectric effects in quantum dots with interaction Miguel Ambrosio Sierra Seco de Herrera Master in Physics of Complex Systems July 17, 2014 Abstract Thermoelectric effects of small
More informationSpin-Polarized Current in Coulomb Blockade and Kondo Regime
Vol. 112 (2007) ACTA PHYSICA POLONICA A No. 2 Proceedings of the XXXVI International School of Semiconducting Compounds, Jaszowiec 2007 Spin-Polarized Current in Coulomb Blockade and Kondo Regime P. Ogrodnik
More informationLaurens W. Molenkamp. Physikalisches Institut, EP3 Universität Würzburg
Laurens W. Molenkamp Physikalisches Institut, EP3 Universität Würzburg Onsager Coefficients I electric current density J particle current density J Q heat flux, heat current density µ chemical potential
More informationWe study spin correlation in a double quantum dot containing a few electrons in each dot ( 10). Clear
Pauli spin blockade in cotunneling transport through a double quantum dot H. W. Liu, 1,,3 T. Fujisawa, 1,4 T. Hayashi, 1 and Y. Hirayama 1, 1 NTT Basic Research Laboratories, NTT Corporation, 3-1 Morinosato-Wakamiya,
More informationNonlocal transport properties due to Andreev scattering
Charles Univ. in Prague, 5 X 2015 Nonlocal transport properties due to Andreev scattering Tadeusz Domański Marie Curie-Skłodowska University, Lublin, Poland http://kft.umcs.lublin.pl/doman/lectures Outline
More informationCarbon Nanotubes part 2 CNT s s as a toy model for basic science. Niels Bohr Institute School 2005
Carbon Nanotubes part 2 CNT s s as a toy model for basic science Niels Bohr Institute School 2005 1 Carbon Nanotubes as a model system 2 Christian Schönenberger University of Basel B. Babic W. Belzig M.
More informationModeling electron-spin accumulation in a metallic nanoparticle
PHYSICAL REVIEW B 78, 035435 2008 Modeling electron-spin accumulation in a metallic nanoparticle Y. G. Wei, C. E. Malec, and D. Davidović Georgia Institute of Technology, Atlanta, Georgia 30332, USA Received
More informationQuantum Confinement in Graphene
Quantum Confinement in Graphene from quasi-localization to chaotic billards MMM dominikus kölbl 13.10.08 1 / 27 Outline some facts about graphene quasibound states in graphene numerical calculation of
More informationSingle-Electron Tunneling
247 9 Single-Electron Tunneling The charge stored on a capacitor is not quantized: it consists of polarization charges generated by displacing the electron gas with respect to the positive lattice ions
More informationEXPLORING SCANNING PROBE MICROSCOPY WITH MATHEMATICA
EXPLORING SCANNING PROBE MICROSCOPY WITH MATHEMATICA Dror Sarid University of Arizona A WILEY-1NTERSCIENCE PUBLICATION JOHN WILEY & SONS, INC. New York Chichester Weinheim Brisbane Singapore Toronto CONTENTS
More informationQuantum Noise Measurement of a Carbon Nanotube Quantum dot in the Kondo Regime
Quantum Noise Measurement of a Carbon Nanotube Quantum dot in the Kondo Regime J. Basset, 1 A.Yu. Kasumov, 1 C.P. Moca, G. Zarand,, 3 P. Simon, 1 H. Bouchiat, 1 and R. Deblock 1 1 Laboratoire de Physique
More informationLecture 20: Semiconductor Structures Kittel Ch 17, p , extra material in the class notes
Lecture 20: Semiconductor Structures Kittel Ch 17, p 494-503, 507-511 + extra material in the class notes MOS Structure Layer Structure metal Oxide insulator Semiconductor Semiconductor Large-gap Semiconductor
More informationHerre van der Zant. interplay between molecular spin and electron transport (molecular spintronics) Gate
transport through the single molecule magnet Mn12 Herre van der Zant H.B. Heersche, Z. de Groot (Delft) C. Romeike, M. Wegewijs (RWTH Aachen) D. Barreca, E. Tondello (Padova) L. Zobbi, A. Cornia (Modena)
More informationMolecular Electronics
Molecular Electronics An Introduction to Theory and Experiment Juan Carlos Cuevas Universidad Autönoma de Madrid, Spain Elke Scheer Universität Konstanz, Germany 1>World Scientific NEW JERSEY LONDON SINGAPORE
More informationNew Model for Drain and Gate Current of Single-Electron Transistor at High Temperature
World Journal of Nano Science and Engineering, 2012, 2, 171-175 http://dx.doi.org/10.4236/wjnse.2012.24022 Published Online ecember 2012 (http://www.scirp.org/journal/wjnse) New Model for rain and ate
More informationLecture 20 - Semiconductor Structures
Lecture 0: Structures Kittel Ch 17, p 494-503, 507-511 + extra material in the class notes MOS Structure metal Layer Structure Physics 460 F 006 Lect 0 1 Outline What is a semiconductor Structure? Created
More informationThermoelectric Properties of Few-Electron Quantum Dots
Thermoelectric Properties of Few-Electron Quantum Dots Dissertation zur Erlangung des naturwissenschaftlichen Doktorgrades der Bayerischen Julius-Maximilians-Universität Würzburg vorgelegt von Ralf Scheibner
More informationNanoelectronics. Topics
Nanoelectronics Topics Moore s Law Inorganic nanoelectronic devices Resonant tunneling Quantum dots Single electron transistors Motivation for molecular electronics The review article Overview of Nanoelectronic
More informationClassification of Solids
Classification of Solids Classification by conductivity, which is related to the band structure: (Filled bands are shown dark; D(E) = Density of states) Class Electron Density Density of States D(E) Examples
More informationTemperature dependence of Andreev spectra in a superconducting carbon nanotube quantum dot
Temperature dependence of Andreev spectra in a superconducting carbon nanotube quantum dot A. Kumar, M. Gaim, D. Steininger, A. Levy Yeyati, A. Martín-Rodero, A. K. Hüttel, and C. Strunk Phys. Rev. B 89,
More informationQuantum Transport and Dissipation
Thomas Dittrich, Peter Hänggi, Gert-Ludwig Ingold, Bernhard Kramer, Gerd Schön and Wilhelm Zwerger Quantum Transport and Dissipation WILEY-VCH Weinheim Berlin New York Chichester Brisbane Singapore Toronto
More informationFinal exam. Introduction to Nanotechnology. Name: Student number:
1 Final exam. Introduction to Nanotechnology Name: Student number: 1. (a) What is the definition for a cluster size-wise? (3%) (b) Calculate the energy separation near the Fermi surface of a metallic cluster
More informationTransport through interacting Majorana devices. Reinhold Egger Institut für Theoretische Physik
Transport through interacting Maorana devices Reinhold Egger Institut für Theoretische Physik Overview Coulomb charging effects on quantum transport through Maorana nanowires: Two-terminal device: Maorana
More informationWave function engineering in quantum dot-ring structures
Wave function engineering in quantum dot-ring structures Nanostructures with highly controllable electronic properties E. Zipper, M. Kurpas, M. M. Maśka Instytut Fizyki, Uniwersytet Sląski w Katowicach,
More informationCurrent mechanisms Exam January 27, 2012
Current mechanisms Exam January 27, 2012 There are four mechanisms that typically cause currents to flow: thermionic emission, diffusion, drift, and tunneling. Explain briefly which kind of current mechanisms
More informationSpin electronics at the nanoscale. Michel Viret Service de Physique de l Etat Condensé CEA Saclay France
Spin electronics at the nanoscale Michel Viret Service de Physique de l Etat Condensé CEA Saclay France Principles of spin electronics: ferromagnetic metals spin accumulation Resistivity of homogeneous
More informationTunable Non-local Spin Control in a Coupled Quantum Dot System. N. J. Craig, J. M. Taylor, E. A. Lester, C. M. Marcus
Tunable Non-local Spin Control in a Coupled Quantum Dot System N. J. Craig, J. M. Taylor, E. A. Lester, C. M. Marcus Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA M. P.
More informationFABRICATION AND CHARACTERIZATION OF SINGLE ELECTRON DEVICE AND STUDY OF ENERGY FILTERING IN SINGLE ELECTRON TRANSPORT LIANG-CHIEH MA
FABRICATION AND CHARACTERIZATION OF SINGLE ELECTRON DEVICE AND STUDY OF ENERGY FILTERING IN SINGLE ELECTRON TRANSPORT by LIANG-CHIEH MA Presented to the Faculty of the Graduate School of The University
More informationSolving rate equations for electron tunneling via discrete quantum states
PHYSICAL REVIEW B, VOLUME 65, 045317 Solving rate equations for electron tunneling via discrete quantum states Edgar Bonet, Mandar M. Deshmukh, and D. C. Ralph Laboratory of Atomic and Solid State Physics,
More informationTunable Nanostructures
Probing Exotic Boundary Quantum Phases with Tunable Nanostructures by Dong Liu Department of Physics Duke University Date: Approved: Harold U. Baranger, Supervisor Shailesh Chandrasekharan Gleb Finkelstein
More informationQuantum Impurities In and Out of Equilibrium. Natan Andrei
Quantum Impurities In and Out of Equilibrium Natan Andrei HRI 1- Feb 2008 Quantum Impurity Quantum Impurity - a system with a few degrees of freedom interacting with a large (macroscopic) system. Often
More informationJ. Paaske, NBI. What s the problem? Jens Paaske, NBI Dias 1
Nonequilibrium Quantum Transport What s the problem? Jens Paaske, NBI Dias 1 Basic 3-terminal setup sou urce Three metallic electrodes:? V 1. Emitter (Source) 2. Base (Gate) 3. Collector (Drain)?te ga
More informationarxiv: v1 [cond-mat.mes-hall] 25 Feb 2008
Cross-correlations in transport through parallel quantum dots Sebastian Haupt, 1, 2 Jasmin Aghassi, 1, 2 Matthias H. Hettler, 1 and Gerd Schön 1, 2 1 Forschungszentrum Karlsruhe, Institut für Nanotechnologie,
More informationSOLID STATE PHYSICS. Second Edition. John Wiley & Sons. J. R. Hook H. E. Hall. Department of Physics, University of Manchester
SOLID STATE PHYSICS Second Edition J. R. Hook H. E. Hall Department of Physics, University of Manchester John Wiley & Sons CHICHESTER NEW YORK BRISBANE TORONTO SINGAPORE Contents Flow diagram Inside front
More informationWriting Spin in a Quantum Dot with Ferromagnetic and. Superconducting Electrodes arxiv:cond-mat/ v1 [cond-mat.mes-hall] 14 Jan 2003
Writing Spin in a Quantum Dot with Ferromagnetic and Superconducting Electrodes arxiv:cond-mat/0303v [cond-mat.mes-hall] 4 Jan 003 Yu Zhu, Qing-feng Sun, and Tsung-han Lin, State Key Laboratory for Mesoscopic
More informationPhysics of Semiconductors
Physics of Semiconductors 13 th 2016.7.11 Shingo Katsumoto Department of Physics and Institute for Solid State Physics University of Tokyo Outline today Laughlin s justification Spintronics Two current
More informationBASIC INTRODUCTION TO SINGLE ELECTRON TRANSISTOR
BASIC INTRODUCTION TO SINGLE ELECTRON TRANSISTOR Varun Mittal VIDYA COLLEGE OF ENGINEERING, MEERUT {Email: mittalvarun2011@gmail.com} Abstract-The goal of this paper is to review in brief the basic physics
More informationNumerical Renormalization Group studies of Correlation effects in Phase Coherent Transport through Quantum Dots. Theresa Hecht
Numerical Renormalization Group studies of Correlation effects in Phase Coherent Transport through Quantum Dots Theresa Hecht München 28 Numerical Renormalization Group studies of Correlation effects
More informationHow a single defect can affect silicon nano-devices. Ted Thorbeck
How a single defect can affect silicon nano-devices Ted Thorbeck tedt@nist.gov The Big Idea As MOS-FETs continue to shrink, single atomic scale defects are beginning to affect device performance Gate Source
More informationA theoretical study of the single-molecule transistor
A theoretical study of the single-molecule transistor B. C. Friesen Department of Physics, Oklahoma Baptist University, Shawnee, OK 74804 J. K. Ingersent Department of Physics, University of Florida, Gainesville,
More informationQuantitative Modeling and Simulation of Single-Electron Transistor
Quantitative Modeling and Simulation of Single-Electron Transistor Shobhit Srivastava 1, Ranjeet Pathak 2 1 M.Tech, Student, Department of E&C Engineering, U.I.T. Allahabad, U.P (AKTU, University), India
More informationarxiv:cond-mat/ v1 [cond-mat.mes-hall] 19 Aug 2005
Coulomb-Blockade Oscillations in Semiconductor Nanostructures H. van Houten, C. W. J. Beenakker, and A. A. M. Staring Philips Research Laboratories, 5600 JA Eindhoven, The Netherlands arxiv:cond-mat/0508454v1
More informationAnalysis of flip flop design using nanoelectronic single electron transistor
Int. J. Nanoelectronics and Materials 10 (2017) 21-28 Analysis of flip flop design using nanoelectronic single electron transistor S.Rajasekaran*, G.Sundari Faculty of Electronics Engineering, Sathyabama
More informationResolved dynamics of single electron tunneling using the RF-SET
Abstract Resolved dynamics of single electron tunneling using the RF-SET Julie Helen Love 2007 This thesis presents measurements of time resolved single electron tunneling events in a metallic thin film
More informationLarge Storage Window in a-sinx/nc-si/a-sinx Sandwiched Structure
2017 Asia-Pacific Engineering and Technology Conference (APETC 2017) ISBN: 978-1-60595-443-1 Large Storage Window in a-sinx/nc-si/a-sinx Sandwiched Structure Xiang Wang and Chao Song ABSTRACT The a-sin
More informationThe 4th Windsor Summer School on Condensed Matter Theory Quantum Transport and Dynamics in Nanostructures Great Park, Windsor, UK, August 6-18, 2007
The 4th Windsor Summer School on Condensed Matter Theory Quantum Transport and Dynamics in Nanostructures Great Park, Windsor, UK, August 6-18, 2007 Kondo Effect in Metals and Quantum Dots Jan von Delft
More informationCoulomb Blockade IV characteristics in. (La,Pr,Ca)MnO3
Coulomb Blockade IV characteristics in (La,Pr,Ca)MnO3 Sarah Joy Advisor: Dr. Selman Hershfield 2008 REU University of Florida July 29, 2008 Abstract In a sample of manganite at 70K, ferromagnetic islands
More informationELECTRON TRANSPORT THROUGH QUANTUM DOTS: AN UNUSUAL KONDO EFFECT
ELECTRON TRANSPORT THROUGH QUANTUM DOTS: AN UNUSUAL KONDO EFFECT S. De Franceschi a, S. Sasaki b,. a J.M. Elzerman a, W. G. van der Wlel, M. Eto a c, S. Tarucha b d, and L. P. Kouwenhoven a a Department
More informationEnhancement-mode quantum transistors for single electron spin
Purdue University Purdue e-pubs Other Nanotechnology Publications Birck Nanotechnology Center 8-1-2006 Enhancement-mode quantum transistors for single electron spin G. M. Jones B. H. Hu C. H. Yang M. J.
More informationPersistent orbital degeneracy in carbon nanotubes
PHYSICAL REVIEW B 74, 155431 26 Persistent orbital degeneracy in carbon nanotubes A. Makarovski, 1 L. An, 2 J. Liu, 2 and G. Finkelstein 1 1 Department of Physics, Duke University, Durham, North Carolina
More informationarxiv:cond-mat/ May 2000
Spin transitions in a small Si quantum dot L.P. Rokhinson, L.J. Guo, S.Y. Chou and D.C. Tsui Department of Electrical Engineering, Princeton University, Princeton, NJ 08 (May 16, 2000) arxiv:cond-mat/000262
More informationarxiv:cond-mat/ v2 14 Feb 2006
Dissipative quantum phase transition in a quantum dot László Borda, Gergely Zaránd,2, and D. Goldhaber-Gordon 3 Department of Theoretical Physics and Research Group Theory of Condensed Matter of the Hungarian
More information