Quantum Hall Effect: The First Topological Insulator

Saurabh Basu

doi:10.1017/9781009053778

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.

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Quantum Hall Effect

The First Topological Insulator

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Contents

Frontmatter
pp i-iv

Dedication
pp v-vi

Contents
pp vii-x

Foreword
pp xi-xii

Preface
pp xiii-xvi

Acknowledgements
pp xvii-xviii

1. - Quantum Hall Effect
pp 1-30

2. - Symmetry and Topology
pp 31-50

3. - Topology in One-Dimensional (1D) and Quasi-1D Models
pp 51-98

4. - Quantum Hall Effect in Graphene
pp 99-132

5. - Graphene as a Topological Insulator: Anomalous Hall Effect
pp 133-172

6. - Fractional Quantum Hall Effect
pp 173-206

Epilogue
pp 207-210

Bibliography
pp 211-216

Index
pp 217-222

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The First Topological Insulator

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