PORTALE DELLA DIDATTICA

PORTALE DELLA DIDATTICA

PORTALE DELLA DIDATTICA

Elenco notifiche



Introduction to Topological Materials

01HXIKG

A.A. 2023/24

Course Language

Inglese

Degree programme(s)

Doctorate Research in Fisica - Torino

Course structure
Teaching Hours
Esercitazioni in aula 21
Lecturers
Teacher Status SSD h.Les h.Ex h.Lab h.Tut Years teaching
Buccheri Francesco   Ricercatore L240/10 PHYS-04/A 0 21 0 0 1
Co-lectures
Espandi

Context
SSD CFU Activities Area context
*** N/A ***    
Topological materials are a class of insulators, metals and superconductors, identified by the properties of their band structure and their surface states. They are currently object of significant attention in modern solid state physics, both theoretical and experimental, because they open new possibilities of controlling the electronic transport, significantly lowering the dissipation and protecting the stored information for quantum information purposes. As experimental results and new materials pile up, it is important to complement the formation of graduate students with an overview of the field. This course aims at introducing the basic concepts and formalism, as well as the main categories of topological materials through simple effective Hamiltonians, which can be studied analytically. Attention will be paid to the topological invariants, the characteristic surface states and their transport properties.
Quantum Mechanics. Notions of Quantum Field Theory and Solid State Physics will be reviewed if needed.
1) Topological insulators in one dimension, Su-Schrieffer-Heeger model 2) Berry curvature and adiabatic evolution 3) Parametric pumping, Rice-Mele model 5) Symmetries 4) Topological insulators in two dimensions, Hall conductivity and Chern number, Haldane model 6) The Quantum Spin Hall effect, Kane-Mele model 7) Topological insulators in three dimensions and classification of Topological Insulators 8) Topological superconductors 9) Topological semimetals
On line synchronous mode
Oral presentation - Team project work development
P.D.1-1 - November
Bibliography: -) Asbóth, Oroszlány & Pályi - A Short Course on Topological Insulators, Springer Lecture Notes in Physics, volume 919 - arXiv:1509.02295 -) Bernevig & Hughes - Topological Insulators and Topological Superconductors, Princeton Univ Press -) Shen, Topological Insulators - Dirac Equation in Condensed Matters, Springer Series in Solid-State Sciences, volume 174 -) Xiao, Chang & Niu - Berry Phase Effects on Electronic Properties - Rev. Mod. Phys. 82:1959 (2010) - arXiv:0907.2021