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Theory of a quantum critical phenomenon in a topological insulator: (3 + 1)-dimensional quantum electrodynamics in solids

机译：拓扑绝缘体中的量子临界现象理论：固体中的（3 +1）维量子电动力学

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摘要

We study theoretically the quantum critical phenomenon of the phase transition between the trivial insulator and the topological insulator in (3 + 1) dimensions, which is described by a Dirac fermion coupled to the electromagnetic field. The renormalization group (RG) equations for the running coupling constant α, the speed of light c, and electron v are derived. The almost exact analytic solutions to these RG equations are obtained to reveal that (ⅰ) c and v approach to the common value with combination c~2v being almost unrenormalized, (ⅱ) the RG flow of α is the same as that of usual QED with c3 being replaced by c~2v, and (ⅲ) there are two crossover momentum/energy scales separating three regions of different scaling behaviors. The dielectric and magnetic susceptibilities, angle-resolved photoemission spectroscopy (ARPES), and the behavior of the gap are discussed from this viewpoint.
机译：我们从理论上研究了琐碎绝缘子和拓扑绝缘子之间在（3 +1）维度上的相变的量子临界现象，这由耦合到电磁场的狄拉克费米子描述。导出了运行耦合常数α，光速c和电子v的重归一化（RG）方程。得到了这些RG方程的几乎精确的解析解，揭示了（ⅰ）c和v趋近于共同值，并且组合c〜2v几乎未归一化，（ⅱ）α的RG流量与通常的QED相同用c〜2v代替c3，（ⅲ）有两个交叉动量/能量标度，将三个不同比例行为的区域分开。从这个角度讨论了介电和磁化率，角度分辨光发射光谱（ARPES）和间隙的行为。

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  • 来源
    《Physical review》 |2012年第16期|165127.1-165127.5|共5页
  • 作者

    Hiroki Isobe; Naoto Nagaosa;

  • 作者单位

    Department of Applied Physics, University of Tokyo, Tokyo 113-8656, Japan;

    Department of Applied Physics, University of Tokyo, Tokyo 113-8656, Japan,Cross Correlated Materials Research Group (CMRG) and Correlated Electron Research Group (CERG), ASI, RIKEN, Wako, Saitama 351-0198, Japan;

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  • 原文格式 PDF
  • 正文语种 eng
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  • 关键词

    quantum phase transitions; theories and models of many-electron systems;

    机译：量子相变多电子系统的理论和模型;

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