Simulation Of Spin Wave Switching In Perpendicular Media
|
|
- Neil Skinner
- 5 years ago
- Views:
Transcription
1 Simulation Of Spin Wave Switching In Perpendicular Media P. B.Visscher Department of Physics and Astronomy The University of Alabama
2 Abstract We propose to build on our understanding of spin wave switching in longitudinally pulsed media to study the interaction of precessional motions with spin wave instabilities in perpendicular media: In perpendicular media the write field undergoes rapid changes of direction as well as of magnitude. We propose to simulate a medium subjected to a field history similar to that it would encounter in passing under a quasi-monopolar longitudinal write head. Within the simulation, we will calculate the Lyapunov exponents and gain factors for spin wave growth, to estimate switching time. We will study the energy cascade to shorter wavelengths, which dissipates the Zeeman energy.
3 Spin-wave switching (Safonov &Bertram 1999) Magnetization vs time for a system (finite temperature initial condition) (see also Poster #21) Hext spin wave energy
4 d M dt Basic equation for precession = γ ext K M H = H + H + H H K = exch = 2K 2 M J S nbrs M H Z Hext M' exch zˆ H - external magnetic field; Landau-Lifshitz equation without damping (not important in early stages of fast switching) thermal (Langevin) noise (small, k B T<<Zeeman energy) - effective anisotropy field due to intrinsic crystalline anisotropy or to sample shape - effective exchange field;
5 Fourier-transform to get spin wave amplitudes: Each M(r) can be written as the sum of its Fourier components: Visualizing spin waves M k) = 1 N ( 3 M ( r) = M ( r) k k r M( r) e where the Fourier component is ( ik r M ( r) Re M( k)e ) Rather than display the complex vector M(k) at each point in k-space, we display all the individual components M k (r) for all cells r (N different values, 4 here) they lie on an ellipse. In k-space we show red polygon (approx. to ellipse) k ik r
6 Simple case: 1 spin wave k=(0,0,1) k=(0,0,0)
7 Superimposed spin waves k=(0,0,1) k=(0,0,0) k=(1,0,0) k=(0,1,0)
8 Spin-wave switching Initial condition: Slight tilt from vertical, finite temperature. Suddenly apply downward H. Stoner-Wohlfarth orbit would get close to the equator, but not switch. Allowing incoherence & exchange interactions allows spin waves: (movie at
9 Growth of spin-wave amplitudes (n x,n y,n z ) = wave vector in integer form: k = 2π ( n n ) x y nz,, L x L y L z
10 ω 2 Why is it unstable? Calculating (FMR) precession frequency General formula for spin-wave frequency (=resonance frequency for FMR, if k=0) = γ 2 [ + ( D D ) M ][ H + ( D D ) M ] H M t1 s M t 2 where D is the demag+anisotropy factor along M and D M t1 and D t2 are demag+anisotropy factors transverse to M In the simple case of M along the easy (z) axis, D M =2K/M s and D t1 = D t2 = 0, so ω 2 > 0 and ω is real: we get circular precession. If M is along a hard axis, D t1 = 2K/M s and one factor can be negative, making ω imaginary (exponentially growing instability). This is the origin of the switching instability. s
11 Application to perpendicular recording N Perpendicular-recording head medium grain H soft underlayer
12 Summary We have identified the instability responsible for spin wave switching. We will extend this from simple field pulses to longitudinal-head field histories. Other plans include: Add magnetostatic interactions (Fast Multipole Method) Determine which wavelengths are most unstable Model subsequent dissipation of spin-wave energy
Long-Time Simulation Of Spin Dynamics Of Superparamagnetic Particles
Poster 21 Long-Time Simulation Of Spin Dynamics Of Superparamagnetic Particles P. B.Visscher and Xiaoguang Deng Department of Physics and Astronomy The University of Alabama Supported by DOE grant No.
More informationMicromagnetic Modeling
Micromagnetic Modeling P. B. Visscher Xuebing Feng, D. M. Apalkov, and Arkajyoti Misra Department of Physics and Astronomy Supported by NSF grants # ECS-008534 and DMR-0213985, and DOE grant # DE-FG02-98ER45714
More informationMICROMAGNETICS OF EXCHANGE SPRING MEDIA: OPTIMIZATION AND LIMITS
1/49 MICROMAGNETICS OF EXCHANGE SPRING MEDIA: OPTIMIZATION AND LIMITS Dieter Suess dieter.suess@tuwien.ac.at Institut of Solid State Physics, Vienna University of Technology, Austria (submitted to Journal
More information7. Basics of Magnetization Switching
Beyond CMOS computing 7. Basics of Magnetization Switching Dmitri Nikonov Dmitri.e.nikonov@intel.com 1 Outline Energies in a nanomagnet Precession in a magnetic field Anisotropies in a nanomagnet Hysteresis
More informationCOPYRIGHTED MATERIAL. Production of Net Magnetization. Chapter 1
Chapter 1 Production of Net Magnetization Magnetic resonance (MR) is a measurement technique used to examine atoms and molecules. It is based on the interaction between an applied magnetic field and a
More informationMagnetic domain theory in dynamics
Chapter 3 Magnetic domain theory in dynamics Microscale magnetization reversal dynamics is one of the hot issues, because of a great demand for fast response and high density data storage devices, for
More informationCurrent-Induced Domain-Wall Dynamics in Ferromagnetic Nanowires
Current-Induced Domain-Wall Dynamics in Ferromagnetic Nanowires Benjamin Krüger 17.11.2006 1 Model The Micromagnetic Model Current Induced Magnetisation Dynamics Phenomenological Description Experimental
More informationMicrowave Assisted Magnetic Recording
Microwave Assisted Magnetic Recording, Xiaochun Zhu, and Yuhui Tang Data Storage Systems Center Dept. of Electrical and Computer Engineering Carnegie Mellon University IDEMA Dec. 6, 27 Outline Microwave
More informationFokker-Planck calculation of spintorque switching rates: comparison with telegraph-noise data
Fokker-Planck calculation of spintorque switching rates: comparison with telegraph-noise data P. B.Visscher and D. M. Apalkov Department of Physics and Astronomy The University of Alabama This project
More informationMagnetism and Magnetic Switching
Magnetism and Magnetic Switching Robert Stamps SUPA-School of Physics and Astronomy University of Glasgow A story from modern magnetism: The Incredible Shrinking Disk Instead of this: (1980) A story from
More informationHigh-frequency measurements of spin-valve films and devices invited
JOURNAL OF APPLIED PHYSICS VOLUME 93, NUMBER 10 15 MAY 003 High-frequency measurements of spin-valve films and devices invited Shehzaad Kaka, John P. Nibarger, and Stephen E. Russek a) National Institute
More informationLecture 11: Polarized Light. Fundamentals of Polarized Light. Descriptions of Polarized Light. Scattering Polarization. Zeeman Effect.
Lecture 11: Polarized Light Outline 1 Fundamentals of Polarized Light 2 Descriptions of Polarized Light 3 Scattering Polarization 4 Zeeman Effect 5 Hanle Effect Fundamentals of Polarized Light Electromagnetic
More informationOn the Ultimate Speed of Magnetic Switching
On the Ultimate Speed of Magnetic Switching Joachim Stöhr Stanford Synchrotron Radiation Laboratory Collaborators: H. C. Siegmann, C. Stamm, I. Tudosa, Y. Acremann ( Stanford ) A. Vaterlaus (ETH Zürich)
More informationMICRO-SCALE NUMERICAL SIMULATION OF THE MAGNETIC RECORDING
Électrotechnique et électroénergétique MICRO-SCALE NUMERICAL SIMULATION OF THE MAGNETIC RECORDING ADELINA BORDIANU, VALENTIN IONIŢĂ, LUCIAN PETRESCU 1 Key words: Nanoparticles, Micro-scale magnetic characterization,
More informationThe NMR Inverse Imaging Problem
The NMR Inverse Imaging Problem Nuclear Magnetic Resonance Protons and Neutrons have intrinsic angular momentum Atoms with an odd number of proton and/or odd number of neutrons have a net magnetic moment=>
More informationReport submitted to Prof. P. Shipman for Math 540, Fall 2009
Dynamics at the Horsetooth Volume 1, 009. Three-Wave Interactions of Spin Waves Aaron Hagerstrom Department of Physics Colorado State University aaronhag@rams.colostate.edu Report submitted to Prof. P.
More informationCondon domains in the de Haas van Alphen effect. Magnetic domains of non-spin origine
in the de Haas van Alphen effect Magnetic domains of non-spin origine related to orbital quantization Jörg Hinderer, Roman Kramer, Walter Joss Grenoble High Magnetic Field laboratory Ferromagnetic domains
More informationMacroscopic properties II
Paolo Allia DISAT Politecnico di Torino acroscopic properties II acroscopic properties II Crucial aspects of macroscopic ferromagnetism Crystalline magnetic anisotropy Shape anisotropy Ferromagnetic domains
More informationTheory of two magnon scattering microwave relaxation and ferromagnetic resonance linewidth in magnetic thin films
JOURNAL OF APPLIED PHYSICS VOLUME 83, NUMBER 8 15 APRIL 1998 Theory of two magnon scattering microwave relaxation and ferromagnetic resonance linewidth in magnetic thin films M. J. Hurben and C. E. Patton
More informationDamping of magnetization dynamics
Damping of magnetization dynamics Andrei Kirilyuk! Radboud University, Institute for Molecules and Materials, Nijmegen, The Netherlands 1 2 Landau-Lifshitz equation N Heff energy gain:! torque equation:
More informationSpin-torque nano-oscillators trends and challenging
Domain Microstructure and Dynamics in Magnetic Elements Heraklion, Crete, April 8 11, 2013 Spin-torque nano-oscillators trends and challenging N H ext S Giovanni Finocchio Department of Electronic Engineering,
More informationElectromagnetic fields and waves
Electromagnetic fields and waves Maxwell s rainbow Outline Maxwell s equations Plane waves Pulses and group velocity Polarization of light Transmission and reflection at an interface Macroscopic Maxwell
More informationSUPPLEMENTARY INFORMATION
SUPPLEMENTARY INFORMATION DOI: 1.138/NPHYS98 Electric-field-induced ferromagnetic resonance excitation in an ultrathin ferromagnetic metal layer Takayuki Nozaki 1,*, 3, Yoichi Shiota 1, Shinji Miwa 1,
More informationDispersion and Scaling Law of Dynamic Hysteresis Based on the Landau-Lifshitz-Gilbert Model
Dispersion and Scaling Law of Dynamic Hysteresis Based on the Landau-Lifshitz-Gilbert Model Siying Liu, Hongyi Zhang, Hao Yu * Department of Mathematical Sciences, Xi an Jiaotong-Liverpool University,
More informationMicromagnetic Modeling of Soft Underlayer Magnetization Processes and Fields in Perpendicular Magnetic Recording
1670 IEEE TRANSACTIONS ON MAGNETICS, VOL. 38, NO. 4, JULY 2002 Micromagnetic Modeling of Soft Underlayer Magnetization Processes and Fields in Perpendicular Magnetic Recording Manfred E. Schabes, Byron
More informationDoppler echocardiography & Magnetic Resonance Imaging. Doppler echocardiography. History: - Langevin developed sonar.
1 Doppler echocardiography & Magnetic Resonance Imaging History: - Langevin developed sonar. - 1940s development of pulse-echo. - 1950s development of mode A and B. - 1957 development of continuous wave
More informationTypical anisotropies introduced by geometry (not everything is spherically symmetric) temperature gradients magnetic fields electrical fields
Lecture 6: Polarimetry 1 Outline 1 Polarized Light in the Universe 2 Fundamentals of Polarized Light 3 Descriptions of Polarized Light Polarized Light in the Universe Polarization indicates anisotropy
More informationChapter 8 Magnetic Resonance
Chapter 8 Magnetic Resonance 9.1 Electron paramagnetic resonance 9.2 Ferromagnetic resonance 9.3 Nuclear magnetic resonance 9.4 Other resonance methods TCD March 2007 1 A resonance experiment involves
More informationMicromagnetic simulation of magnetization reversal in rotational magnetic fields
Physica B 306 (2001) 112 116 Micromagnetic simulation of magnetization reversal in rotational magnetic fields J. Fidler*, T. Schrefl, W. Scholz, D. Suess, V.D. Tsiantos Institute of Applied and Technical
More informationFerromagnetic resonance in Yttrium Iron Garnet
Author:. Facultat de Física, Universitat de Barcelona, Diagonal 645, 08028 Barcelona, Spain. Advisor: Joan Manel Hernàndez Ferràs Abstract: his work presents a study of the ferromagnetic resonance of an
More informationMagnetization Dynamics
Magnetization Dynamics Italian School on Magnetism Pavia - 6-10 February 2012 Giorgio Bertotti INRIM - Istituto Nazionale di Ricerca Metrologica, Torino, Italy Part I Free energy of a ferromagnetic body:
More informationSimulation of Magnetization Switching in Nanoparticle Systems
Simulation of Magnetization Switching in Nanoparticle Systems D. Hinzke and U. Nowak Theoretische Physik, Gerhard-Mercator-Universität 47048 Duisburg, Germany Pacs-numbers: 75.10.Hk; 75.40.Mg; 75.40.Gb
More informationFemtosecond Heating as a Sufficient Stimulus for Magnetization Reversal
Femtosecond Heating as a Sufficient Stimulus for Magnetization Reversal T. Ostler, J. Barker, R. F. L. Evans and R. W. Chantrell Dept. of Physics, The University of York, York, United Kingdom. Seagate,
More informationA Hands on Introduction to NMR Lecture #1 Nuclear Spin and Magnetic Resonance
A Hands on Introduction to NMR 22.920 Lecture #1 Nuclear Spin and Magnetic Resonance Introduction - The aim of this short course is to present a physical picture of the basic principles of Nuclear Magnetic
More informationarxiv:cond-mat/ v1 1 Dec 1999
Impurity relaxation mechanism for dynamic magnetization reversal in a single domain grain Vladimir L. Safonov and H. Neal Bertram Center for Magnetic Recording Research, University of California San arxiv:cond-mat/9912014v1
More informationTHE continuous increase in areal density and data rate in
IEEE TRANSACTIONS ON MAGNETICS, VOL. 41, NO. 10, OCTOBER 2005 2839 Micromagnetic Simulation of Head-Field and Write Bubble Dynamics in Perpendicular Recording Werner Scholz, Member, IEEE, and Sharat Batra,
More informationarxiv: v3 [cond-mat.stat-mech] 1 Dec 2016
Effects of Landau-Lifshitz-Gilbert damping on domain growth Kazue Kudo Department of Computer Science, Ochanomizu University, 2-1-1 Ohtsuka, Bunkyo-ku, Tokyo 112-861, Japan (Dated: December 2, 216) arxiv:162.6673v3
More informationThis is a repository copy of Parametric optimization for terabit perpendicular recording.
This is a repository copy of Parametric optimization for terabit perpendicular recording. White Rose Research Online URL for this paper: http://eprints.whiterose.ac.uk/1836/ Article: Miles, J.J., McKirdy,
More informationRADIOLOGIV TECHNOLOGY 4912 COMPREHENSEIVE REVIEW/MRI WORSHEET #1- PATIENT CARE AND SAFETY/PHYSICAL PRINCIPLES
RADIOLOGIV TECHNOLOGY 4912 COMPREHENSEIVE REVIEW/MRI WORSHEET #1- PATIENT CARE AND SAFETY/PHYSICAL PRINCIPLES 1. What are potential consequences to patients and personnel should there be a release of gaseous
More informationMicromagnetic simulation of dynamic and thermal effects
Micromagnetic simulation of dynamic and thermal effects T. Schrefl, J. Fidler, D. Suess, W. Scholz, V. Tsiantos Institute of Applied and Technical Physics Vienna University of Technology Wiedner Haupstr.
More informationChem 325 NMR Intro. The Electromagnetic Spectrum. Physical properties, chemical properties, formulas Shedding real light on molecular structure:
Physical properties, chemical properties, formulas Shedding real light on molecular structure: Wavelength Frequency ν Wavelength λ Frequency ν Velocity c = 2.998 10 8 m s -1 The Electromagnetic Spectrum
More informationRotating vortex-antivortex dipoles in ferromagnets under spin-polarised current Stavros Komineas
Rotating vortex-antivortex dipoles in ferromagnets under spin-polarised current Stavros Komineas Department of Applied Mathematics Archimedes Center for Modeling, Analysis & Computation University of Crete,
More informationNMR, the vector model and the relaxation
NMR, the vector model and the relaxation Reading/Books: One and two dimensional NMR spectroscopy, VCH, Friebolin Spin Dynamics, Basics of NMR, Wiley, Levitt Molecular Quantum Mechanics, Oxford Univ. Press,
More informationPEAT SEISMOLOGY Lecture 9: Anisotropy, attenuation and anelasticity
PEAT8002 - SEISMOLOGY Lecture 9: Anisotropy, attenuation and anelasticity Nick Rawlinson Research School of Earth Sciences Australian National University Anisotropy Introduction Most of the theoretical
More informationELECTRON SPIN RESONANCE & MAGNETIC RESONANCE TOMOGRAPHY
ELECTRON SPIN RESONANCE & MAGNETIC RESONANCE TOMOGRAPHY 1. AIM OF THE EXPERIMENT This is a model experiment for electron spin resonance, for clear demonstration of interaction between the magnetic moment
More informationarxiv: v1 [cond-mat.mes-hall] 11 Dec 2014
APS/123-QED Magnetic field induced spin wave energy focusing Noel Perez and Luis Lopez-Diaz Department of Applied Physics, University of Salamanca, Plaza de los Caidos s/n 37008, Salamanca, Spain arxiv:1412.4129v1
More informationBasic p rinciples COPYRIGHTED MATERIAL. Introduction. Atomic s tructure
1 Basic p rinciples Introduction 1 Atomic structure 1 Motion in the atom 2 MR active nuclei 2 The hydrogen nucleus 4 Alignment 4 Precession 8 The Larmor equation 9 Introduction The basic principles of
More informationSupplementary Figures
Supplementary Figures Supplementary Figure 1: Bloch point formation during skyrmion annihilation. Skyrmion number in layers with different z-coordinate during the annihilation of a skyrmion. As the skyrmion
More informationSpin Relaxation and NOEs BCMB/CHEM 8190
Spin Relaxation and NOEs BCMB/CHEM 8190 T 1, T 2 (reminder), NOE T 1 is the time constant for longitudinal relaxation - the process of re-establishing the Boltzmann distribution of the energy level populations
More informationFundamental MRI Principles Module 2 N. Nuclear Magnetic Resonance. X-ray. MRI Hydrogen Protons. Page 1. Electrons
Fundamental MRI Principles Module 2 N S 1 Nuclear Magnetic Resonance There are three main subatomic particles: protons positively charged neutrons no significant charge electrons negatively charged Protons
More informationGilbert damping constant of ultrathin perpendicularly magnetized CoFeB/Pt-structures
Eindhoven University of Technology MASTER Gilbert damping constant of ultrathin perpendicularly magnetized CoFeB/Pt-structures Kuiper, K.C. Award date: 2009 Disclaimer This document contains a student
More informationFundamentals of Magnetism
Fundamentals of Magnetism Part II Albrecht Jander Oregon State University Real Magnetic Materials, Bulk Properties M-H Loop M M s M R B-H Loop B B s B R H ci H H c H M S - Saturation magnetization H ci
More informationVector mechanics PHY1021: Jan 2011 exam- Hints and tips. Lecturer: Dr. Stavroula Foteinopoulou
Vector mechanics PHY1021: Jan 2011 exam- Hints and tips Lecturer: Dr. Stavroula Foteinopoulou 1(i) W
More informationExchange Coupled Composite Media for Perpendicular Magnetic Recording
BB-01 1 Exchange Coupled Composite Media for Perpendicular Magnetic Recording R. H. Victora, Fellow, IEEE, X. Shen Abstract Exchange coupled composite (ECC) media has been shown to possess several major
More informationIntroduction to Biomedical Imaging
Alejandro Frangi, PhD Computational Imaging Lab Department of Information & Communication Technology Pompeu Fabra University www.cilab.upf.edu MRI advantages Superior soft-tissue contrast Depends on among
More informationMeasurement and Compensation of Betatron Resonances at the CERN PS Booster Synchrotron
Measurement and Compensation of Betatron Resonances at the CERN PS Booster Synchrotron Urschütz Peter (AB/ABP) CLIC meeting, 29.10.2004 1 Overview General Information on the PS Booster Synchrotron Motivation
More informationRelaxation times in nuclear magnetic resonance
Relaxation times in TEP Related topics Nuclear spins, atomic nuclei with a magnetic moment, precession movement of the nuclear spins, Landau-Lifshitz equation, Bloch equation, magnetisation, resonance
More informationSupplementary Notes of spin-wave propagation in cubic anisotropy materials
Supplementary Notes of spin-wave propagation in cubic anisotropy materials Koji Sekiguchi, 1, 2, Seo-Won Lee, 3, Hiroaki Sukegawa, 4 Nana Sato, 1 Se-Hyeok Oh, 5 R. D. McMichael, 6 and Kyung-Jin Lee3, 5,
More informationSpin pumping in magnetic trilayer structures with an MgO barrier Supplementary Information.
Spin pumping in magnetic trilayer structures with an MgO barrier Supplementary Information. A. A. Baker, 1, 2 A. I. Figueroa, 2 D. Pingstone, 3 V. K. Lazarov, 3 G. van der Laan, 2 and 1, a) T. Hesjedal
More informationExploring Ultrafast Excitations in Solids with Pulsed e-beams
Exploring Ultrafast Excitations in Solids with Pulsed e-beams Joachim Stöhr and Hans Siegmann Stanford Synchrotron Radiation Laboratory Collaborators: Y. Acremann, Sara Gamble, Mark Burkhardt ( SLAC/Stanford
More informationA Brief Introduction to Medical Imaging. Outline
A Brief Introduction to Medical Imaging Outline General Goals Linear Imaging Systems An Example, The Pin Hole Camera Radiations and Their Interactions with Matter Coherent vs. Incoherent Imaging Length
More information4.9 Free Mechanical Vibrations
4.9 Free Mechanical Vibrations Spring-Mass Oscillator When the spring is not stretched and the mass m is at rest, the system is at equilibrium. Forces Acting in the System When the mass m is displaced
More informationSwitching Distributions for Perpendicular Spin-Torque Devices within the Macrospin Approximation
Switching Distributions for Perpendicular Spin-Torque Devices within the Macrospin Approximation W. H. Butler 1,, T. Mewes 1,, C. K. A. Mewes 1,, P. B. Visscher 1,, W. H. Rippard 3, S. E. Russek 3 and
More information( ( )) + w ( ) 3 / 2
K K DA!NE TECHNICAL NOTE INFN - LNF, Accelerator Division Frascati, March 4, 1 Note: G-7 SYNCHROTRON TUNE SHIFT AND TUNE SPREAD DUE TO BEAM-BEAM COLLISIONS WITH A CROSSING ANGLE M. Zobov and D. Shatilov
More informationIntroduction to magnetic recording + recording materials
Introduction to magnetic recording + recording materials Laurent Ranno Institut Néel, Nanoscience Dept, CNRS-UJF, Grenoble, France I will give two lectures about magnetic recording. In the first one, I
More informationMe myself and MRI: adventures in not understanding nuclear physics.
Me myself and MRI: adventures in not understanding nuclear physics. Thomas E. Gladwin August 28, 2007 Contents 1 Introduction 2 2 Nuclei 2 2.1 Precession............................... 2 2.2 Spin-up and
More information7.2.1 Seismic waves. Waves in a mass- spring system
7..1 Seismic waves Waves in a mass- spring system Acoustic waves in a liquid or gas Seismic waves in a solid Surface waves Wavefronts, rays and geometrical attenuation Amplitude and energy Waves in a mass-
More informationBeam-Beam Simulations for e + e Colliders
Beam-Beam Simulations for e + e Colliders J. Rogers, Cornell University Motivation for simulations from observed effects Methods algorithms, simulation codes, and some results. Conclusions Brown Bag Seminar,
More informationMagnetic Resonance Imaging (MRI)
Magnetic Resonance Imaging Introduction The Components The Technology (MRI) Physics behind MR Most slides taken from http:// www.slideworld.org/ viewslides.aspx/magnetic- Resonance-Imaging- %28MRI%29-MR-Imaging-
More informationChapter 5. Resonator design. 1 Description of the resonator and the detection scheme
116 Chapter 5 Resonator design 1 Description of the resonator and the detection scheme Figure 5.1 shows a resonator that we propose to use for NMR study of nanoscale samples. The design has a spin sample
More informationThe stability of planets in the Alpha Centauri system
The stability of planets in the Alpha Centauri system Paul A. Wiegert 1, Matt Holman 2 1 Department of Astronomy, University of Toronto, Toronto, Canada 2 Canadian Institute for Theoretical Astrophysics,
More informationatoms and light. Chapter Goal: To understand the structure and properties of atoms.
Quantum mechanics provides us with an understanding of atomic structure and atomic properties. Lasers are one of the most important applications of the quantummechanical properties of atoms and light.
More informationMagnetization Dynamics of Confined Ferromagnetic Systems
Magnetization Dynamics of Confined Ferromagnetic Systems Dissertation zur Erlangung des Doktorgrades der Naturwissenschaften (Dr. rer. nat.) der Fakultät Physik der Universität Regensburg vorgelegt von
More informationAcoustic holography. LMS Test.Lab. Rev 12A
Acoustic holography LMS Test.Lab Rev 12A Copyright LMS International 2012 Table of Contents Chapter 1 Introduction... 5 Chapter 2... 7 Section 2.1 Temporal and spatial frequency... 7 Section 2.2 Time
More informationMagnetization Processes I (and II) C.H. Back. Bert Koopmans / TU Eindhoven
Magnetization Processes I (and II) C.H. Back Universität Regensburg Bert Koopmans / TU Eindhoven 1 Tentative Title: Magnetization processes in bulk materials and films, and control: H and E, current, strain,
More informationarxiv: v1 [cond-mat.mtrl-sci] 7 Nov 2012
Spin torque switching in perpendicular films at finite temperature, HP-13 Ru Zhu and P B Visscher arxiv:12111665v1 [cond-matmtrl-sci] 7 Nov 212 MINT Center and Department of Physics and Astronomy University
More informationV High frequency magnetic measurements
V High frequency magnetic measurements Rémy Lassalle-Balier What we are doing and why Ferromagnetic resonance CHIMP memory Time-resolved magneto-optic Kerr effect NISE Task 8 New materials Spin dynamics
More informationOscillatory Motion. Simple pendulum: linear Hooke s Law restoring force for small angular deviations. Oscillatory solution
Oscillatory Motion Simple pendulum: linear Hooke s Law restoring force for small angular deviations d 2 θ dt 2 = g l θ θ l Oscillatory solution θ(t) =θ 0 sin(ωt + φ) F with characteristic angular frequency
More informationFMR Studies of High-Moment Materials at High Frequencies
FMR Studies of High-Moment Materials at High Frequencies James Rantschler and Chet Alexander Center for Materials for Information Technology and Department of Physics Jesse Lawrence Department of Chemistry
More informationSUPPLEMENTARY INFORMATION
Supramolecular Spin Valves M. Urdampilleta, 1 J.-P. Cleuziou, 1 S. Klyatskaya, 2 M. Ruben, 2,3* W. Wernsdorfer 1,* 1 Institut Néel, associé á l Université Joseph Fourier, CNRS, BP 166, 38042 Grenoble Cedex
More informationElectron spin resonance
Quick reference guide Introduction This is a model experiment for electron spin resonance, for clear demonstration of interaction between the magnetic moment of the electron spin with a superimposed direct
More informationSchematic for resistivity measurement
Module 9 : Experimental probes of Superconductivity Lecture 1 : Experimental probes of Superconductivity - I Among the various experimental methods used to probe the properties of superconductors, there
More informationFast domain wall motion in nanostripes with out-of-plane fields. Andrew Kunz and Sarah C. Reiff
Fast domain wall motion in nanostripes with out-of-plane fields Andrew Kunz and Sarah C. Reiff Physics Department, Marquette University, Milwaukee WI 53233 Abstract Controlling domain wall motion is important
More informationDispersive Media, Lecture 7 - Thomas Johnson 1. Waves in plasmas. T. Johnson
2017-02-14 Dispersive Media, Lecture 7 - Thomas Johnson 1 Waves in plasmas T. Johnson Introduction to plasmas as a coupled system Magneto-Hydro Dynamics, MHD Plasmas without magnetic fields Cold plasmas
More informationUnidirectional spin-wave heat conveyer
Unidirectional spin-wave heat conveyer Figure S1: Calculation of spin-wave modes and their dispersion relations excited in a 0.4 mm-thick and 4 mm-diameter Y 3 Fe 5 O 12 disk. a, Experimentally obtained
More informationIntroduction to MRI. Spin & Magnetic Moments. Relaxation (T1, T2) Spin Echoes. 2DFT Imaging. K-space & Spatial Resolution.
Introduction to MRI Spin & Magnetic Moments Relaxation (T1, T2) Spin Echoes 2DFT Imaging Selective excitation, phase & frequency encoding K-space & Spatial Resolution Contrast (T1, T2) Acknowledgement:
More informationOscillatory Motion. Simple pendulum: linear Hooke s Law restoring force for small angular deviations. small angle approximation. Oscillatory solution
Oscillatory Motion Simple pendulum: linear Hooke s Law restoring force for small angular deviations d 2 θ dt 2 = g l θ small angle approximation θ l Oscillatory solution θ(t) =θ 0 sin(ωt + φ) F with characteristic
More informationThe Quantum Theory of Magnetism
The Quantum Theory of Magnetism Norberto Mains McGill University, Canada I: 0 World Scientific Singapore NewJersey London Hong Kong Contents 1 Paramagnetism 1.1 Introduction 1.2 Quantum mechanics of atoms
More informationCURRENT-INDUCED MAGNETIC DYNAMICS IN NANOSYSTEMS
CURRENT-INDUCED MAGNETIC DYNAMICS IN NANOSYSTEMS J. Barna Department of Physics Adam Mickiewicz University & Institute of Molecular Physics, Pozna, Poland In collaboration: M Misiorny, I Weymann, AM University,
More informationMicromagnetics: Basic Principles
A small class of materials exhibit the important property of long range magnetic order Fundamentally, this arises because of the so-called exchange energy which can, under certain circumstances, lead to
More informationMagnetization Gradients, k-space and Molecular Diffusion. Magnetic field gradients, magnetization gratings and k-space
2256 Magnetization Gradients k-space and Molecular Diffusion Magnetic field gradients magnetization gratings and k-space In order to record an image of a sample (or obtain other spatial information) there
More informationExam tomorrow on Chapter 15, 16, and 17 (Oscilla;ons and Waves 1 &2)
Exam tomorrow on Chapter 15, 16, and 17 (Oscilla;ons and Waves 1 &2) What to study: Quiz 6 Homework problems for Chapters 15 & 16 Material indicated in the following review slides Other Specific things:
More informationFinite element micromagnetics
Finite element micromagnetics Thomas Schrefl, Dieter Suess, Werner Scholz, Hermann Forster, Vassilios Tsiantos, and Josef Fidler Vienna University of Technology, Institute of Applied and Technical Physics,
More informationCurrent-induced switching in a magnetic insulator
In the format provided by the authors and unedited. DOI: 10.1038/NMAT4812 Current-induced switching in a magnetic insulator Can Onur Avci, Andy Quindeau, Chi-Feng Pai 1, Maxwell Mann, Lucas Caretta, Astera
More informationFundamental MRI Principles Module Two
Fundamental MRI Principles Module Two 1 Nuclear Magnetic Resonance There are three main subatomic particles: protons neutrons electrons positively charged no significant charge negatively charged Protons
More informationLecture 5: Polarization. Polarized Light in the Universe. Descriptions of Polarized Light. Polarizers. Retarders. Outline
Lecture 5: Polarization Outline 1 Polarized Light in the Universe 2 Descriptions of Polarized Light 3 Polarizers 4 Retarders Christoph U. Keller, Leiden University, keller@strw.leidenuniv.nl ATI 2016,
More informationBeam Echo Effect for Generation of Short Wavelength Radiation
Beam Echo Effect for Generation of Short Wavelength Radiation G. Stupakov SLAC NAL, Stanford, CA 94309 31st International FEL Conference 2009 Liverpool, UK, August 23-28, 2009 1/31 Outline of the talk
More informationBiomedical Imaging Magnetic Resonance Imaging
Biomedical Imaging Magnetic Resonance Imaging Charles A. DiMarzio & Eric Kercher EECE 4649 Northeastern University May 2018 Background and History Measurement of Nuclear Spins Widely used in physics/chemistry
More informationMagnetic Switching and Magnetodynamics. driven by Spin Transfer Torque
The thesis committee for Heidi Seinige certifies that this is the approved version of the following thesis: Magnetic Switching and Magnetodynamics driven by Spin Transfer Torque APPROVED BY SUPERVISING
More informationvoltage measurement for spin-orbit torques"
SUPPLEMENTARY for article "Accurate analysis for harmonic Hall voltage measurement for spin-orbit torques" Seok Jin Yun, 1 Eun-Sang Park, 2 Kyung-Jin Lee, 1,2 and Sang Ho Lim 1,* 1 Department of Materials
More information