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首页> 外文期刊>Physical review >Dirac-Weyl fermions with arbitrary spin in two-dimensional optical superlattices
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Dirac-Weyl fermions with arbitrary spin in two-dimensional optical superlattices

机译：二维光学超晶格中具有任意自旋的狄拉克-魏尔费米子

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摘要

Dirac-Weyl fermions are massless relativistic particles with a well-defined helicity which arise in the context of high-energy physics. Here we propose a quantum simulation of these paradigmatic fermions using multicomponent ultracold atoms in a two-dimensional square optical lattice. We find that laser-assisted spin-dependent hopping, specifically tuned to the (2s + 1)-dimensional representations of the su(2) Lie algebra, directly leads to a regime where the emerging massless excitations correspond to Dirac-Weyl fermions with arbitrary pseudospin s. We show that this platform hosts two different phases: a semimetallic phase that occurs for half-integer s, and a metallic phase that contains a flat zero-energy band at integer s. These phases host a variety of interesting effects, such as a very rich anomalous quantum Hall effect and a remarkable multirefringent Klein tunneling. In addition, we show that these effects are directly related to the number of underlying Dirac-Weyl species and zero modes.
机译：狄拉克-魏尔费米子是无质量的相对论粒子，具有明确定义的螺旋度，出现在高能物理中。在这里，我们提出了使用二维方形光学晶格中的多组分超冷原子对这些范式费米子进行的量子模拟。我们发现，专门针对su（2）Lie代数的（2s + 1）维表示的激光辅助自旋相关跳跃，直接导致了一种新出现的无质量激发对应于任意任意Dirac-Weyl费米子的态伪自旋。我们显示该平台具有两个不同的相位：半金属s出现一个半金属相，而整数s处包含一个平坦的零能带的金属相。这些阶段具有各种有趣的效应，例如非常丰富的异常量子霍尔效应和非凡的多折射Klein隧道效应。此外，我们表明这些影响与潜在的狄拉克-韦尔种类和零模式直接相关。

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  • 来源
    《Physical review》 |2011年第16期|p.165115.1-165115.16|共16页
  • 作者

    Z. Lan; N. Goldman; A. Bermudez; W. Lu; P. OEhberg;

  • 作者单位

    SUPA, Department of Physics, Heriot-Watt University, EH 14 4AS, Edinburgh, United Kingdom;

    Center for Nonlinear Phenomena and Complex Systems - Universite Libre de Bruxelles, 231, Campus Plaine, B-1050 Brussels, Belgium;

    Departamento de Fisica Teorica 1, Universidad Complutense, E-28040 Madrid, Spain,Institut fuer Theoretische Physik, Albert-Einstein Allee 11, Universitat Ulm, 89069 Ulm, Germany;

    SUPA, Department of Physics, Heriot-Watt University, EH 14 4AS, Edinburgh, United Kingdom;

    SUPA, Department of Physics, Heriot-Watt University, EH 14 4AS, Edinburgh, United Kingdom;

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  • 关键词

    lattice fermion models (hubbard model, etc.);

    机译：格子费米子模型（哈伯德模型等）;

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