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Spacetime Symmetries of the Quantum Hall Effect

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arxiv 1407.1252 v2 pith:EVLUL7JI submitted 2014-07-04 cond-mat.mes-hall hep-th

Michael Geracie , Dam Thanh Son , Chaolun Wu , Shao-Feng Wu This is my paper · ORCID
classification cond-mat.mes-hallhep-th
keywords hallsymmetrieseffectidentitiesnon-relativisticpreviousquantumspacetime
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We study the symmetries of non-relativistic systems with an emphasis on applications to the fractional quantum Hall effect. A source for the energy current of a Galilean system is introduced and the non-relativistic diffeomorphism invariance studied in previous work is enhanced to a full spacetime symmetry, allowing us to derive a number of Ward identities. These symmetries are smooth in the massless limit of the lowest Landau level. We develop a formalism for Newton-Cartan geometry with torsion to write these Ward identities in a covariant form. Previous results on the connection between Hall viscosity and Hall conductivity are reproduced.

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Cited by 4 Pith papers

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