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12 - Dirac Materials and Dirac Fermions

from Part Two - Topological Phases

Published online by Cambridge University Press:  06 March 2020

Michael El-Batanouny
Affiliation:
Boston University
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Summary

Dirac materials and Dirac fermions are presented. Graphene, with its Dirac points and cones, and the Dirac fermion Hamiltonian in the vicinity of the K-points are described. Time-reversal symmetry-breaking Chern insulators, with special focus on Haldane’s model, are presented. The quantum spin Hall effect, as manifest in the graphene-like model of Kane–Mele, with strong spin–orbit (SO) coupling, is outlined. A detailed description of Weyl semimetals is given.

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Advanced Quantum Condensed Matter Physics
One-Body, Many-Body, and Topological Perspectives
, pp. 331 - 372
Publisher: Cambridge University Press
Print publication year: 2020

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