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首页> 外文期刊>Physical review >Higgs mechanism, phase transitions, and anomalous Hall effect in three-dimensional topological superconductors
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Higgs mechanism, phase transitions, and anomalous Hall effect in three-dimensional topological superconductors

机译：三维拓扑超导体中的希格斯机制，相变和异常霍尔效应

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摘要

We demonstrate that the Higgs mechanism in three-dimensional topological superconductors exhibits unique features with experimentally observable consequences. The Higgs model we discuss has two superconducting components and an axionlike magnetoelectric term with the phase difference of the superconducting order parameters playing the role of the axion field. Due to this additional term, quantum electromagnetic and phase fluctuations lead to a robust topologically nontrivial state that holds also in the presence of interactions. In this sense, we show that the renormalization flow of the topologically nontrivial phase cannot be continuously deformed into a topologically nontrivial one. One consequence of our analysis of quantum critical fluctuations is the possibility of having a first-order phase transition in the bulk and a second-order phase transition on the surface. We also explore another consequence of the axionic Higgs electrodynamics, namely, the anomalous Hall effect. In the low-frequency London regime an anomalous Hall effect is induced in the presence of an applied electric field parallel to the surface. This anomalous Hall current is induced by a Lorentz-like force arising from the axion term, and it involves the relative superfluid velocity of the superconducting components. The anomalous Hall current has a negative sign, a situation reminiscent of but quite distinct in physical origin from the anomalous Hall effect observed in high-T_c superconductors. In contrast to the latter, the anomalous Hall effect in topological superconductors is nondissipative and occurs in the absence of vortices.
机译：我们证明了三维拓扑超导体中的希格斯机制表现出独特的功能，具有实验可观察的结果。我们讨论的希格斯模型具有两个超导成分和一个类似轴突的磁电项，其中超导阶数参数的相位差起着轴突场的作用。由于这个附加项，量子电磁和相位波动会导致鲁棒的拓扑非平凡状态，该状态在存在交互作用时也保持不变。从这个意义上讲，我们表明，拓扑非平凡相的重新规范化流不能连续变形为拓扑非平凡的相。我们对量子临界涨落进行分析的结果之一是，可能在主体中具有一阶相变，而在表面上具有二阶相变。我们还探讨了轴离子希格斯电动力学的另一个结果，即霍尔效应的异常。在低频伦敦体制中，在平行于表面的施加电场的存在下会诱发异常霍尔效应。该异常霍尔电流是由轴力项引起的类洛伦兹力引起的，它涉及超导组件的相对超流体速度。霍尔电流异常为负，与高T_c超导体中观察到的霍尔效应相反，其物理原因使人想起，但在物理上却十分不同。与后者相反，拓扑超导体中的异常霍尔效应是无耗散的，并且在没有涡旋的情况下发生。

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  • 来源
    《Physical review》 |2015年第22期|224507.1-224507.9|共9页
  • 作者

    Flavio S. Nogueira; Asle Sudbo; Ilya Eremin;

  • 作者单位

    Institut fuer Theoretische Physik Ⅲ, Ruhr-Universitaet Bochum, Universitaetsstrasse 150, DE-44801 Bochum, Germany,Institute for Theoretical Solid State Physics, IFW Dresden, Helmholtzstrasse 20, 01069 Dresden, Germany;

    Department of Physics, Norwegian University of Science and Technology, N-7491 Trondheim, Norway;

    Institut fuer Theoretische Physik Ⅲ, Ruhr-Universitaet Bochum, Universitaetsstrasse 150, DE-44801 Bochum, Germany,National University of Science and Technology MISiS, 119049 Moscow, Russian Federation;

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  • 正文语种 eng
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  • 关键词

    theories and models of superconducting state; phases: geometric; dynamic or topological;

    机译：超导状态的理论和模型;阶段：几何;动态或拓扑;

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