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You are here: Home Teaching Lectures and Seminars Winter Term 2016/2017 Selected Topics in Modern Condensed-Matter Theory

Selected Topics in Modern Condensed-Matter Theory

Prof. Johann Kroha

Lecture physics7503


Schedule: Wednesdays 14, Fridays 12-14

Room: ATTENTION! The NEW ROOM is
Seminarraum 1, BCTP @ Wegelerstr. 10, 2. floor

(HS I @ PI is currently under construction)


Module description

  

Note: The topics of this course are coordinated such that it can be taken in parallel to physics617 (Theoretical Condensed Matter Physics).

Prerequisites: Quantum mechanics I, e.g. physik420

                       Statistical Physics, e.g. physik521  

Contents

Over the past few years, research in condensed matter physics has witnessed several novel developments, which are revolutionizing our understanding of many-body systems. Among those developments are

  • the simulation of many-body problems in ultracold atomic-gas systems;
  • quantum phase transitions as a means for realizing exotic states of matter;
  • topological aspects of Hilbert spaces.

The course will discuss these developments and provide some of the necessary theoretical techniques.

Specific topics are:

  • Feynman diagram technique;
  • the method of slave fields for strong interactions;
  • phase transitions, critical phenomena, renormalization group method;
  • topological structure of the Hilbert space and consequences for the properties condensed-matter systems. Topological insulators.

Literature

  1. R. D. Mattuck, A Guide to Feynman Diagrams in the Many-Body Problem.
  2. N. Goldenfeld, Lectures on Phase Transitions and the Renormalization Group.
  3. B. A. Bernevig, Topological Insulators and Topological Superconductors.

Exercises

Ex 1

Sol1

Ex 2

Sol2

Ex 3

Sol3

Ex 4

Ex 5

Ex 6

Sol6 

Ex 7

Ex 8

Exams

The exam will take place on Friday, February 10, 2017, 12:00.

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