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Topological Insulators

Course for MSc and PhD students at

Budapest University of Technology and Economics (BME), and

Eotvos Lorand University (ELTE)

2019 Fall Semester

If you are interested to join the course, then please notify us right away at palyi@mail.bme.hu.

**Reading material**

Read this version of chapter 1 as a preparation for the next lecture on Sep 17, Tue: Chapter1.pdf

**Lecturers**

Janos Asboth (BME)

Laszlo Oroszlany (ELTE)

Andras Palyi (BME)

**Details**

Through simple one- and two-dimensional model Hamiltonians, participants will acquire a good physical understanding of the core concepts of topological insulators. Among the questions covered: What is topological in a band insulator? What are edge states? How is their number given by the so-called bulk-boundary correspondence principle? How and against what are edge states protected?

Participants are required to have good knowledge of basic quantum mechanics and familiarity with basic concepts in condensed matter physics (Bloch theorem, energy bands, etc.). No prior knowledge of topology is assumed.

Location: BME Building K, KF85 (ground floor, Southern corridor)

Time: Tuesdays, 12:15-13:45

First lecture: Sep 10, Tuesday, 12:15-13:45.

Course language: English

Format: Peer Instruction. For each class, the corresponding chapter of the lecture notes should be read as a preparation, before the class. The first, shorter part of the class is a frontal presentation, where one of the lecturers summarizes the chapter the students have already read. The second, longer part of the class is used for solving a quiz about the chapter, in an interactive, collaborative fashion. Grades are based on an oral exam at the end of the semester.

**Lecture notes**

*A Short Course on Topological Insulators: Band-structure topology and edge states in one and two dimensions*

J. K. Asboth, L. Oroszlany, A. Palyi

Springer, Lecture Notes in Physics, 919 (2016)

**Earlier courses**

The course website from 2017 Fall is here.