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arXiv · 1812.04000

Geometric response of quantum Hall states to electric fields

YingKang Chen·Guodong Jiang·Rudro R. Biswas
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Abstract

Exploiting novel aspects of the quantum geometry of charged particles in a magnetic field via gauge-invariant variables, we provide tangible connections between the response of quantum Hall fluids to non-uniform electric fields and the characteristic geometry of electronic motion in the presence of magnetic and electric fields. The geometric picture we provide motivates the following conjecture: non-uniform electric fields mimic the presence of spatial curvature. Consequently, the gravitational coupling constant also appears in the charge response to non-uniform electric fields.

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YingKang Chen, Guodong Jiang, Rudro R. Biswas. 2018-12-10. Geometric response of quantum Hall states to electric fields. https://doi.org/10.1103/physrevb.103.155303

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