COURSE UNIT TITLE

: INTRODUCTION TO QUANTUM THEORY OF SOLIDS *

DEGREE PROGRAMMES

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
FIZ 4132 INTRODUCTION TO QUANTUM THEORY OF SOLIDS * ELECTIVE 2 2 0 7

Offered By

Physics

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

PROFESSOR ISMAIL SÖKMEN

Offered to

Physics(Evening)
Physics

Course Objective

In this lecture it s aimed to teach the techniques of many-body quantum theory with a large number of applications to condensed matter physics to people who have knowledge of quantum theory and condensed matter physics.

Learning Outcomes of the Course Unit

1   Being able to learn the basic concepts of first and second quantization.
2   Being able to understand non-interacting electron gas, electron gases in 3,2,1 and 0 dimensions.
3   Being able to learn the basic concepts of mean field theory and its applications to ferromagnetic substances.
4   Being able to understand the basic concepts of linear response theory and apply linear response theory to electron systems under the influence of electric and magnetic fields.
5   Being able to understand the field of mesoscopic transport and calculate the transport properties of interacting mesoscopic systems using many-body formalism.
6   Being able to understand the concept of Green s functions in many body physics and calculate the single particle Green s functions and two particle correlation functions of various systems.
7   Being able to learn mathematical details of imaginary-time Green s functions and calculate the polarizability of free electrons.

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 Chapter-1 First and second quantization First quantization: single-particle systems, First quantization: many-particle systems, Basic concepts of second quantization
2 Chapter-1 First and second quantization Second quantization: specific operators, Second quantization and statistical mechanics
3 Chapter-2 The electron gas The non-interacting electron gas Electron interactions in perturbation theory, Electron gases in 3, 2, 1, and 0 dimensions
4 Chapter-3 Phonons; coupling to electrons Jellium oscillations and Einstein phonons , Electron-phonon interaction and the sound velocity, Lattice vibrations and phonons in 1D , Acoustical and optical phonons in 3D
5 Chapter-4 Mean Field Theory Basic concepts of mean field theory, The art of mean field theory, Hartree Fock approximation, Broken symmetry, Ferromagnetism
6 Chapter-5 Time Dependence in Quantum Theory The Schrödinger picture, The Heisenberg picture, The interaction Picture, Time-evolution in linear response
7 Chapter-6 Linear Response Theory The general Kubo formula, Kubo formula for conductivity
8 Midterm
9 Chapter-7 Transport in Mesoscopic Systems The S-matrix and scattering states, Conductance and transmission coefficients, Electron wave guides
10 Chapter-8 Green s functions Classical Green s functions, Green s function for the one-particle Schrödinger equation, Single-particle Green s functions of many-body systems
11 Chapter-9 Equation of motion theory The single-particle Green s function, Single level coupled to continuum, Anderson s model for magnetic impurities, The two-particle correlation function
12 Chapter-10 Transport in Interacting Mesoscopic Systems Model Hamiltonians, Sequential tunelling: the Coulomb blockade regime, Coherent many-body transport phenomena, The conductance for Anderson- type models
13 Chapter-11 Imaginary Time Green s Functions Definitions of Matsubara Green s functions, Connection between Matsubara and retarded functions
14 Recovery Exams

Recomended or Required Reading

Textbook:
Many-body Quantum Theory in Condensed Matter Physics (Henrik Bruus, Karsten Flensberg)

Supplementary Books:
Quantum Many-Particle Systems (John W. Negele, Henri Orland)
Many-Particle Physics (Gerald D. Mahan)
Quantum Theory of Many-particle Systems (Alexander L. Fetter, John Dirk Walecka)
Molecular Electronic Structure Theory (Trygive Helgaker, Poul Jorgensen, Jeppe Olsen)
Introduction to Many Body Physics (Piers Coleman)
Electronic Transport in Mesoscopic Systems (Supriyo Datta)
Quantum Transport: Atom to Transistor (Supriyo Datta)

Planned Learning Activities and Teaching Methods

1. Lecturing
2. Cooperative Learning
3.Question-Answer
4.Discussing

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA
1 MTE MIDTERM EXAM
2 FIN FINAL EXAM
3 FCG FINAL COURSE GRADE MTE * 0.40 + FIN * 0.60
4 RST RESIT
5 FCGR FINAL COURSE GRADE (RESIT) MTE * 0.40 + FIN * 0.60


Further Notes About Assessment Methods

None

Assessment Criteria

1. The homeworks will be assessed by directly adding to the mid-term scores.
2. Final examination will be evaluated by essay or test typ examination technique.

Language of Instruction

Turkish

Course Policies and Rules

To be announced.

Contact Details for the Lecturer(s)

ismail.sokmen@deu.edu.tr

Office Hours

To be announced.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Lectures 14 4 56
Preparation before/after weekly lectures 14 4 56
Preparation for Mid-term Exam 1 8 8
Preparation for Final Exam 1 8 8
Preparing Individual Assignments 13 3 39
Final 1 4 4
Midterm 1 4 4
TOTAL WORKLOAD (hours) 175

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11PO.12
LO.1555344
LO.2555344
LO.3555344
LO.4555344
LO.5555344
LO.6555344
LO.7555344

CONTACT INFORMATION
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Phone: +90(232) 412 12 12 - Fax: +90 (232) 464 81 35

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