Chiral symmetry and fermion doubling in the zero-mode Landau levels of massless Dirac fermions with disorder

Journal Article · Wed Dec 04 00:00:00 EST 2013 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.4848396· OSTI ID:22261822

Kawarabayashi, Tohru; Honda, Takahiro ^[1]; Aoki, Hideo ^[2]; Hatsugai, Yasuhiro ^[3]

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1. Department of Physics, Toho University, Funabashi 274-8510 (Japan)
2. Department of Physics, University of Tokyo, Hongo, Tokyo 113-0033 (Japan)
3. Institute of Physics, University of Tsukuba, Tsukuba 305-8571 (Japan)

The effect of disorder on the Landau levels of massless Dirac fermions is examined for the cases with and without the fermion doubling. To tune the doubling a tight-binding model having a complex transfer integral is adopted to shift the energies of two Dirac cones, which is theoretically proposed earlier and realizable in cold atoms in an optical lattice. In the absence of the fermion doubling, the n = 0 Landau level is shown to exhibit an anomalous sharpness even if the disorder is uncorrelated in space (i.e., large K-K' scattering). This anomaly occurs when the disorder respects the chiral symmetry of the Dirac cone.

• OSTI ID: 22261822
• Journal Information: AIP Conference Proceedings, Vol. 1566, Issue 1; Conference: ICPS 2012: 31. international conference on the physics of semiconductors, Zurich (Switzerland), 29 Jul - 3 Aug 2012; Other Information: (c) 2013 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
CHIRAL SYMMETRY
DIRAC APPROXIMATION
FERMIONS
MASS
SCATTERING