PHY 631 : Physics of Semiconductor Nanostructures

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1 DEPARTMENT OF PHYSICS PHY 631 : Physics of Semiconductor Nanostructures Course Objectives : By Y N Mohapatra in Semester beginning July 2015 The course introduces physics of phenomena in semiconductor nanostructures which have important technological applications, especially focusing on the application of principles of condensed matter physics and quantum processes in such structures. Prerequisites: The students taking this course must have had a prior exposure to quantum mechanics and solid state physics. The course is pitched at a higher level than any similar courses on Electronic Materials in terms of use of tools in quantum physics. However, the techniques and ideas are briefly reviewed at the point of use to make them intuitively familiar. Course Contents Review of condensed matter and semiconductor physics: a brief introduction to quantum view of bulk solids: introduction to key ideas in electronic properties, transport and interaction of photons with material. Characteristic length scales for quantum phenomena;scaling as a heuristic tool; scientific and technological significance of nanostructures and mesoscopic structures Carbon Nanotubes; Illustration of Quantum and Condensed Matter Physics. Fabrication of quantum nanostructures, Quantum structures and bandgap engineering. Transport in quantum structures with applications; electronic properties of heterostructures, quantum wells, quantum wires, quantum dots, and superlattices, strained layer super-lattices; Transport in mesoscopic structures:resonant tunneling, hot electrons, conductance and transmission of nanostructures;principles of application of electronic devices based on quantum structures: Optical properties and applications,optical processes in low dimensional semiconductors : Absorption, luminescence, excitons. application to lasers and photodetectors ; Magneto-transport in semiconductor Nanostructures : transport in magnetic field, semiclassicaldescription, quantum approach, Aharonov-Bohm effect, Shubnikov- de Haas effect; introduction to quantum Hall effect Intro to Frontiers in current research : Nanoelectronics, Nanophotonics & Spintronics - ynm

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3 Standard Model and its Beyond Joydeep Chakrabortty March 24, 2014 I will start with pre Standard Model era. The idea of four-fermi theory and its failure. How the limitations of four-fermi theory encourages to think a new theory. Then I will discuss the idea of gauge theory. Next I will import the idea of Standard Model symmetry. The basic structures: Symmetry Groups, Particle contents, Lagrangian will discussed in details. In the process I will use some basic quantum field theory. I will discuss the Spontaneous breaking of Standard Model symmetry. Then I will incorporate the idea of Higgs mechanism, and will show how that will help to generate the masses for the gauge bosons and fermions in the theory. After discussing the Standard Model Gauge theory, I will dictate the predictions and shortcomings of this theory. There I will discuss the neutrino mass generation, gauge hierarchy, and other problems that force us to think beyond Standard Model. Experimental and phenomenological issues related to the Standard Model will be analysed. The phenomenological implications of few beyond Standard Model theories will be discussed References: 1. Gauge Theory of Elementary Particle Physics: Cheng and Li. 2. Gauge Theory in Particle Physics, Volume I+II: Aitchison and Hey. 3. Gauge Field Theories: Pokorski. 4. Classical Theory of Gauge Fields: Rubakov. 1

4 Quantum Field Theory-I (PHY681) Instructor: Sayantani Bhattacharyya Prerequisite: Quantum Mechanics-I (PHY431) and Quantum Mechanics-II (PHY432) 1. Lorentz and Poincare group. 2. Lagrangian formalism for classical fields 3. Global symmetry and Noether s Theorem 4. Quantization of interacting fields 5. S-Matrix 6. Divergences and renormalization 1

5 PHY690K Quantum Dynamics: Computation and Information Prerequisites: PHY431, PHY412, Computer Programing. Course Outline: 1. Quantum Dynamics of Discrete Systems: Two-level atoms, Spins, Manyparticle systems, Reduced Density Matrices, Schroedinger evolution of initial states, Master Equation approach to Equilibrium., Decoherence and entanglement. 2. Quantum Dynamical Processes: Information theory, Quantum communication, computation protocols and algorithms. 3. Quantum Dynamics of Continuous-variable systems: Interacting harmonic oscillators, Guassian states, evolution of one-mode and two-mode guassian states, entaglement. Reference Books: Quantum Mechanics: Sakurai, Cohen-Tanoudji Statistical Mechanics: Pathria Quantum Computation and Quantum Information: Nielsen and Chuang Quantum Comutation and Information: Benenti, Casati and Strini V. Subrahmanyam

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7 DEPARTMENTAL ELECTIVE COURSE NO: PHY 690 M TITLE: Advanced General Relativity and Black Holes. PRE REQUISITE: PHY 407 Special and General Theory of Relativity COURSE CONTENTS 1. Summary of General Relativity Curvature and Field Equations. 2. Killing vectors and Symmetries. Energy Momentum Tensor 3. Schwarzschild Black Holes, Horizon, Singularity, Eddington Finkelstein Cordinates and Kruskal Diagrams, Carter Penrose Diagrams. 4. De Sitter and Anti De Sitter spaces. Einstein Static Universe. 5. Reissner Nordstrom Black Holes, Horizon, Singularity, Killing Vectors and Penrose Diagrams. 6. Kerr Black Holes Horizon, Singularity, Killing Vectors and Penrose Diagrams. 7. Kerr Newman Black Holes, Horizon, Singularity, Killing Vectors and Penrose Diagrams. 8. Laws of Black Hole Mechanics and Black Hole Thermodynamics.

8 PHY781 (High Energy Physiscs-II) Instructor: Dipankar Chakrabarti.[ , 1st semester] Pre-requisite: PHY681 Course Contents: 1. Scattering Cross-sections: tree-level calculation of QED scattering processes(e.g., Bhabha scattering, Møller scattering, e e + µ µ +, Compton scattering, e p scattering, etc.) 2. Radiative corrections: electron self energy, vacuum polarization, Lamb shift. Infrared and ultraviolet divergences. 3. Renormalization: power counting, degree of divergence of a diagram, cutoff and dimensional regularization,ward-takahashi Identity. electron charge and mass renormalization. 4. Gauge theories: quantization of Abelian and non-abelian gauge theories. 5. Path integral formalism. Books: 1. Quantum Field Theory- Peskin and Schroeder. 2. Quantum Field theory- Mandl and Shaw. 3. Quantum Field Theory - Itzykson and Zuber. 4. Quarks and Leptons- Halzen and Martin.