Theory of the three-dimensional quantum hall effect in graphite

被引:78
作者
Bernevig, B. Andrei [1 ]
Hughes, Taylor L.
Raghu, Srinivas
Arovas, Daniel P.
机构
[1] Princeton Univ, Princeton Ctr Theoret Phys, Princeton, NJ 08544 USA
[2] Stanford Univ, Dept Phys, Stanford, CA 94305 USA
[3] Univ Calif San Diego, Dept Phys, La Jolla, CA 92093 USA
关键词
D O I
10.1103/PhysRevLett.99.146804
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
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 4e(2)/h 1/c(0) with c(0) 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.
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页数:4
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