Precessing anisotropic Dirac cone and Landau subbands along a nodal spiral

We derive a three-dimensional Dirac-cone structure composed of tilted anisotropic Dirac cones around spirally located Dirac points. The Dirac points form a nodal spiral in momentum space due to accidental degeneracy, which can be realized in rhombohedral graphite. Under the interlayer electron hoppi...

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Main Authors: C H Ho, C P Chang, W P Su, M F Lin
Format: Article
Language:English
Published: IOP Publishing 2013-01-01
Series:New Journal of Physics
Online Access:https://doi.org/10.1088/1367-2630/15/5/053032
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author C H Ho
C P Chang
W P Su
M F Lin
author_facet C H Ho
C P Chang
W P Su
M F Lin
author_sort C H Ho
collection DOAJ
description We derive a three-dimensional Dirac-cone structure composed of tilted anisotropic Dirac cones around spirally located Dirac points. The Dirac points form a nodal spiral in momentum space due to accidental degeneracy, which can be realized in rhombohedral graphite. Under the interlayer electron hoppings, the Dirac cone varies in orientation and shape along this Dirac-point spiral, like a magic gyro precessing and deforming with time. The cone precession is governed by the hopping along the rhombohedral primitive unit vectors. In a perpendicular magnetic field, the electron orbits are related to different Landau level energies under the same quantization condition. The Landau subbands are thus characterized by a dispersion factor in addition to the zero-mode spectrum determined by the Dirac-point spiral.
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spelling doaj.art-4bf07f0b8fcc421da77a0d308ec0b19b2023-08-08T11:10:28ZengIOP PublishingNew Journal of Physics1367-26302013-01-0115505303210.1088/1367-2630/15/5/053032Precessing anisotropic Dirac cone and Landau subbands along a nodal spiralC H Ho0C P Chang1W P Su2M F Lin3Center for General Education, Tainan University of Technology , Tainan 710, TaiwanCenter for General Education, Tainan University of Technology , Tainan 710, TaiwanDepartment of Physics and Texas Center for Superconductivity, University of Houston , TX 77204, USADepartment of Physics, National Cheng Kung University , Tainan 701, TaiwanWe derive a three-dimensional Dirac-cone structure composed of tilted anisotropic Dirac cones around spirally located Dirac points. The Dirac points form a nodal spiral in momentum space due to accidental degeneracy, which can be realized in rhombohedral graphite. Under the interlayer electron hoppings, the Dirac cone varies in orientation and shape along this Dirac-point spiral, like a magic gyro precessing and deforming with time. The cone precession is governed by the hopping along the rhombohedral primitive unit vectors. In a perpendicular magnetic field, the electron orbits are related to different Landau level energies under the same quantization condition. The Landau subbands are thus characterized by a dispersion factor in addition to the zero-mode spectrum determined by the Dirac-point spiral.https://doi.org/10.1088/1367-2630/15/5/053032
spellingShingle C H Ho
C P Chang
W P Su
M F Lin
Precessing anisotropic Dirac cone and Landau subbands along a nodal spiral
New Journal of Physics
title Precessing anisotropic Dirac cone and Landau subbands along a nodal spiral
title_full Precessing anisotropic Dirac cone and Landau subbands along a nodal spiral
title_fullStr Precessing anisotropic Dirac cone and Landau subbands along a nodal spiral
title_full_unstemmed Precessing anisotropic Dirac cone and Landau subbands along a nodal spiral
title_short Precessing anisotropic Dirac cone and Landau subbands along a nodal spiral
title_sort precessing anisotropic dirac cone and landau subbands along a nodal spiral
url https://doi.org/10.1088/1367-2630/15/5/053032
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AT mflin precessinganisotropicdiracconeandlandausubbandsalonganodalspiral