Theory of the three-dimensional quantum hall effect in graphite

B. Andrei Bernevig, Taylor L. Hughes, Srinivas Raghu, Daniel P. Arovas

Research output: Contribution to journalArticle

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Abstract

We predict the existence of a three-dimensional quantum Hall effect plateau in a graphite crystal subject to a magnetic field. The plateau has a Hall conductivity quantized at 4e2 1c0 with c0 the c-axis lattice constant. We analyze the three-dimensional Hofstadter problem of a realistic tight-binding Hamiltonian for graphite, find the gaps in the spectrum, and estimate the critical value of the magnetic field above which the Hall plateau appears. When the Fermi level is in the bulk Landau gap, Hall transport occurs through the appearance of chiral surface states. We estimate the magnetic field necessary for the appearance of the effect to be 15.4 T for electron carriers and 7.0 T for holes.

Original languageEnglish (US)
Article number146804
JournalPhysical review letters
Volume99
Issue number14
DOIs
StatePublished - Oct 4 2007

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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