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OverviewThis 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. Full Product DetailsAuthor: Saurabh Basu (Indian Institute of Technology, Guwahati)Publisher: Cambridge University Press Imprint: Cambridge University Press ISBN: 9781316511756ISBN 10: 1316511758 Pages: 180 Publication Date: 31 October 2024 Audience: College/higher education , Postgraduate, Research & Scholarly Format: Hardback Publisher's Status: Forthcoming Availability: Not yet available This item is yet to be released. You can pre-order this item and we will dispatch it to you upon its release. Table of ContentsForeword; Preface; Acknowledgement; 1. Quantum Hall Effect; 2. Symmetry and Topology; 3. Topology in One Dimensional (1D) and Quasi-1D Models; 4. Quantum Hall Effect in Graphene; 5. Graphene as a Topological Insulator – Anomalous Hall Effect; 6. Fractional Quantum Hall Effect; 7. Epilogue; Bibliography; Index.ReviewsAuthor InformationSaurabh 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. Tab Content 6Author Website:Countries AvailableAll regions |