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Hall Effects and Berry Phase

  • Vladimir Litvinov
Chapter
  • 536 Downloads

Abstract

The chapter gives basic information about the Berry phase and parameters that differentiate TI from conventional dielectrics. The integer quantum Hall and intrinsic anomalous Hall effects are discussed in relation to the topology of Hilbert space in crystals.

Keywords

Adiabatic transport and Hilbert space topology Berry phase Zak phase in crystals Quantum Hall effects Spin Hall effect Quantum spin Hall effect Topological invariants Hall conductivity and Berry phase 

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Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  • Vladimir Litvinov
    • 1
  1. 1.Sierra Nevada CorporationIrvineUSA

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