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

Published online by Cambridge University Press:  31 August 2024

Saurabh Basu
Affiliation:
Indian Institute of Technology, Guwahati
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Summary

Introduction

Having studied a prototype model Hamiltonian in one-dimensional (1D), we turn our focus towards two-dimensional (2D), now with the lens on graphene. Particularly, we shall explore whether graphene possesses the credibility of becoming a topological insulator. That may happen, provided by some means, we are able to open a spectral gap at the Dirac cones. Since a non-zero Berry phase can be a smoking gun for non-trivial properties, let us first look at the Berry phase of graphene.

Type
Chapter
Information
Quantum Hall Effect
The First Topological Insulator
, pp. 133 - 172
Publisher: Cambridge University Press
Print publication year: 2024

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