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Quantized Hall Conductivity Of Bloch Electrons - Topology And The Dirac Fermion

PHYSICAL REVIEW B, no. 23 (1994): 17357-17363

Cited: 58|Views22

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brillouin zonedispersion relationrational numberdiophantine equationband gap

Abstract

We consider the Hall conductivity of two-dimensional non-interacting Bloch electrons when the magnetic flux per unit cell is a rational number $p/q$ where $p$ and $q$ are mutually coprime. We present a counter-example for the naive expectation that the Hall conductivity carried by a band is given by treating gap minima as Dirac fermions. ...More

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Masaki Oshikawa

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Minato-ku Tokyo

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