Quantum Hall Effect

The First Topological Insulator

Saurabh Basu (Indian Institute of Technology, Guwahati)

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English

Cambridge University Press
30 November 2024

Science: general issues; Condensed matter physics (liquid state & solid state physics); Quantum physics (quantum mechanics & quantum field theory); Nanotechnology

This book deals with the discovery and explanation of the quantum Hall effect and its fundamental principles. It is meant for undergraduate and graduate students of physics, engineering, and applied sciences studying condensed matter physics. Doctoral students and researchers of this subject will also find it equally useful. It begins with a historical overview of this effect wherein the experiment and the physical systems are described. It progresses to cover discrete symmetries like inversion symmetry, time reversal symmetry, particle-hole symmetry, and chiral symmetry. It also examines how the Hamiltonian transforms under such symmetry operations. Two 1D models, namely the Su-Schrieffer-Heeger (SSH) model and a Kitaev chain with superconducting correlations, are discussed too. Then, the quantum Hall effect in graphene is explained. Further, the spin Hall effect is studied which may have prospects of using graphene as spintronic devices. The book ends with a brief review on fractional quantum Hall effect.

By: Saurabh Basu (Indian Institute of Technology Guwahati)
Imprint: Cambridge University Press
Country of Publication: United Kingdom
ISBN: 9781316511756
ISBN 10: 1316511758
Pages: 180
Publication Date: 30 November 2024
Audience: College/higher education , Further / Higher Education
Format: Hardback
Publisher's Status: Forthcoming

Saurabh Basu is professor at the Department of Physics at Indian Institute of Technology, Guwahati. He has developed the syllabi for several specialised courses in Condensed Matter Physics, Statistical Mechanics, Quantum Mechanics etc. Additionally, Author has taught 4 online courses in the Swayam-Moocs platform. He has published numerous research papers on Condensed Matter Physics.