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Quantum Hall effect induced by electron–phonon interaction
Annals of Physics ( IF 3 ) Pub Date : 2020-07-01 , DOI: 10.1016/j.aop.2020.168199
Andreas Sinner , Klaus Ziegler

When phonons couple to fermions in 2D semimetals, the interaction may turn the system into an insulator. There are several insulating phases in which the time reversal and the sublattice symmetries are spontaneously broken. Examples are many-body states commensurate to Haldane's staggered flux model or to lattice models with periodically modulated strain. We find that the effective field theories of these phases exhibit characteristic Chern-Simons terms, whose coefficients are related to the topological invariants of the microscopic model. This implies that the corresponding quantized Hall conductivities characterize these insulating states.

中文翻译:

电子-声子相互作用引起的量子霍尔效应

当声子与二维半金属中的费米子耦合时,相互作用可能会将系统变成绝缘体。有几个绝缘相,其中时间反转和亚晶格对称性自发破坏。例子是与 Haldane 的交错通量模型或具有周期性调制应变的晶格模型相称的多体状态。我们发现这些相的有效场论表现出特征性的陈-西蒙斯项,其系数与微观模型的拓扑不变量有关。这意味着相应的量化霍尔电导率表征了这些绝缘状态。
更新日期:2020-07-01
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