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首页> 外文期刊>Physical review >Nieh-Yan anomaly: Torsional Landau levels, central charge, and anomalous thermal Hall effect
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Nieh-Yan anomaly: Torsional Landau levels, central charge, and anomalous thermal Hall effect

机译：Nieh-Yan异常：扭转朗道能级，中心电荷和异常热霍尔效应

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摘要

The Nieh-Yan anomaly is the anomalous breakdown of the chiral U(l) symmetry caused by the interaction between torsion and fermions. We study this anomaly from the point of view of torsional Landau levels. It was found that the torsional Landau levels are gapless, while their contributions to the chiral anomaly are canceled, except those from the lowest torsional Landau levels. Hence, the dimension is effectively reduced from (3 + 1 )-dimensional to (1 + l)-dimensional. We further show that the coefficient of the Nieh-Yan anomaly is the free-energy density in (1 + 1) dimensions. Especially, at finite temperature, the thermal Nieh-Yan anomaly is proportional to the central charge. The anomalous thermal Hall conductance in Weyl semimetals is then shown to be proportional to the central charge, which is the experimental fingerprint of the thermal Nieh-Yan anomaly.
机译：Nieh-Yan异常是由扭转和费米子之间的相互作用引起的手性U（l）对称性的异常破坏。我们从Landau扭转水平的角度研究此异常。结果发现，除了最低的扭转朗道水平以外，扭转的朗道水平是无间隙的，而它们对手性异常的贡献被抵消了。因此，尺寸有效地从（3 + 1）维减小到（1 + 1）维。我们进一步表明，Nieh-Yan异常的系数是（1 + 1）维中的自由能密度。特别是在有限温度下，热Nieh-Yan异常与中心电荷成正比。然后显示Weyl半金属中异常的霍尔热导率与中心电荷成正比，后者是Nieh-Yan热异常的实验指纹。

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  • 来源
    《Physical review》 |2020年第12期|125201.1-125201.6|共6页
  • 作者

    Ze-Min Huang; Bo Han; Michael Stone;

  • 作者单位

    Department of Physics University of Illinois at Urbana-Champaign 1110 West Green Street Urbana Illinois 61801 USA;

    Theory of Condensed Matter Group Cavendish Laboratory University of Cambridge J. J. Thomson Avenue Cambridge CB3 0HE United Kingdom Department of Physics University of Illinois at Urbana-Champaign 1110 West Green Street Urbana Illinois 61801 USA;

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