Spacetime symmetries of the quantum Hall effect

We study the symmetries of nonrelativistic 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 nonrelativistic diffeomorphism invariance studied in previous work is enhanced to a full spacetime sym...

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Published in:Physical review. D, Particles, fields, gravitation, and cosmology Particles, fields, gravitation, and cosmology, 2015-02, Vol.91 (4), Article 045030
Main Authors: Geracie, Michael, Son, Dam Thanh, Wu, Chaolun, Wu, Shao-Feng
Format: Article
Language:English
Subjects:
Cosmology
Formalism
Gravitation
Invariance
Quantum Hall effect
Symmetry
Torsion
Viscosity
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description We study the symmetries of nonrelativistic 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 nonrelativistic 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.
doi_str_mv 10.1103/PhysRevD.91.045030
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source American Physical Society:Jisc Collections:APS Read and Publish 2023-2025 (reading list)
subjects Cosmology
Formalism
Gravitation
Invariance
Quantum Hall effect
Symmetry
Torsion
Viscosity
title Spacetime symmetries of the quantum Hall effect
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