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We study constraints imposed by the Galilean invariance on linear electromagnetic and elastic responses of two-dimensional gapped systems in background magnetic field.
Ground state of a spin-½ charged particle in a two-dimensional magnetic field
Y. Aharonov and A. Casher · 1979
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Hydrodynamic relations in superconductivity
M. Greiter, F. Wilczek, and E. Witten · 1989
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Shift and spin vector: New topological quantum numbers for the Hall fluids
X. Wen and A. Zee · 1992
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Landau-level ground-state degeneracy and its relevance for a general quantization procedure
R. Alicki, J. R. Klauder, and J. Lewandowski · 1993
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Topological orders and edge excitations in fractional quantum Hall states
X.-G. Wen · 1995
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Quantized thermal transport in the fractional quantum Hall effect
C. L. Kane and M. P. A. Fisher · 1997
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Thermal transport in chiral conformal theories and hierarchical quantum Hall states
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M. Stone · 2012
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Newton-Cartan Geometry and the Quantum Hall Effect
D. T. Son · 2013
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On Nonrelativistic Diffeomorphism Invariance
O. Andreev, M. Haack, and S. Hofmann · 2013
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Fractional Quantum Hall Effect in a Curved Space: Gravitational Anomaly and Electromagnetic Response
T. Can, M. Laskin, and P. Wiegmann · 2014
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C. Hoyos and D. T. Son · 2012
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We have to keep the terms of the first order in fields when analyzing the transformations of the terms of the effective action linear in fields
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A. G. Abanov and A. Gromov · 2014
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