Integer quantum Hall effect in isotropic 3D systems

Mikito Koshino; H. Aoki

doi:10.1016/j.physe.2003.11.252

Integer quantum Hall effect in isotropic 3D systems

Mikito Koshino, H. Aoki

SCI - Physics

Research output: Contribution to journal › Conference article › peer-review

Abstract

We study whether the quantum Hall effect (QHE) predicted to occur in three-dimensional (3D) anisotropic systems by Koshino et al. [Phys. Rev. Lett. 86 (2001) 1062] can also exist in isotropic 3D crystals from two different limits. We show, in both the tight-binding model and the weak potential limit, that energy gaps, accompanied by the QHE, arise universally unless the magnetic field points in high-symmetry crystallographic directions. The quantized Hall topological integers (σ_xy,σ_yz, σ_zx) in 3D have been obtained for each of the gaps.

Original language	English
Pages (from-to)	214-217
Number of pages	4
Journal	Physica E: Low-Dimensional Systems and Nanostructures
Volume	22
Issue number	1-3
DOIs	https://doi.org/10.1016/j.physe.2003.11.252
Publication status	Published - 2004 Apr 1
Event	15th International Conference on ELectronic Propreties - Nara, Japan Duration: 2003 Jul 14 → 2003 Jul 18

Keywords

Hofstadter's butterfly
Quantum Hall effect

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Atomic and Molecular Physics, and Optics
Condensed Matter Physics

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10.1016/j.physe.2003.11.252

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title = "Integer quantum Hall effect in isotropic 3D systems",

abstract = "We study whether the quantum Hall effect (QHE) predicted to occur in three-dimensional (3D) anisotropic systems by Koshino et al. [Phys. Rev. Lett. 86 (2001) 1062] can also exist in isotropic 3D crystals from two different limits. We show, in both the tight-binding model and the weak potential limit, that energy gaps, accompanied by the QHE, arise universally unless the magnetic field points in high-symmetry crystallographic directions. The quantized Hall topological integers (σxy,σyz, σzx) in 3D have been obtained for each of the gaps.",

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T1 - Integer quantum Hall effect in isotropic 3D systems

AU - Koshino, Mikito

AU - Aoki, H.

PY - 2004/4/1

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N2 - We study whether the quantum Hall effect (QHE) predicted to occur in three-dimensional (3D) anisotropic systems by Koshino et al. [Phys. Rev. Lett. 86 (2001) 1062] can also exist in isotropic 3D crystals from two different limits. We show, in both the tight-binding model and the weak potential limit, that energy gaps, accompanied by the QHE, arise universally unless the magnetic field points in high-symmetry crystallographic directions. The quantized Hall topological integers (σxy,σyz, σzx) in 3D have been obtained for each of the gaps.

AB - We study whether the quantum Hall effect (QHE) predicted to occur in three-dimensional (3D) anisotropic systems by Koshino et al. [Phys. Rev. Lett. 86 (2001) 1062] can also exist in isotropic 3D crystals from two different limits. We show, in both the tight-binding model and the weak potential limit, that energy gaps, accompanied by the QHE, arise universally unless the magnetic field points in high-symmetry crystallographic directions. The quantized Hall topological integers (σxy,σyz, σzx) in 3D have been obtained for each of the gaps.

KW - Hofstadter's butterfly

KW - Quantum Hall effect

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DO - 10.1016/j.physe.2003.11.252

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AN - SCOPUS:1842785481

SN - 1386-9477

VL - 22

SP - 214

EP - 217

JO - Physica E: Low-Dimensional Systems and Nanostructures

JF - Physica E: Low-Dimensional Systems and Nanostructures

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T2 - 15th International Conference on ELectronic Propreties

Y2 - 14 July 2003 through 18 July 2003

ER -

Integer quantum Hall effect in isotropic 3D systems

Abstract

Keywords

ASJC Scopus subject areas

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