Spacetime symmetries of the quantum Hall effect
Spacetime symmetries of the quantum Hall effect
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DOI：
10.1103/physrevd.91.045030
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发表时间：
2014-07
影响因子：
5
通讯作者：
M. Geracie;D. Son;Chaolun Wu;Shao-Feng Wu
中科院分区：
文献类型：
--
作者：
M. Geracie;D. Son;Chaolun Wu;Shao-Feng Wu
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.
