Hydrodynamics on the lowest Landau level

被引:12
|
作者
Geracie, Michael [1 ]
Dam Thanh Son [1 ]
机构
[1] Univ Chicago, Kadanoff Ctr Theoret Phys, Chicago, IL 60637 USA
来源
关键词
Space-Time Symmetries; Thermal Field Theory; HALL; STATISTICS;
D O I
10.1007/JHEP06(2015)044
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
Using the recently developed approach to quantum Hall physics based on Newton-Cartan geometry, we consider the hydrodynamics of an interacting system on the lowest Landau level. We rephrase the non-relativistic fluid equations of motion in a manner that manifests the spacetime diffeomorphism invariance of the underlying theory. In the massless (or lowest Landau level) limit, the fluid obeys a force-free constraint which fixes the charge current. An entropy current analysis further constrains the energy response, determining four transverse response functions in terms of only two: an energy magnetization and a thermal Hall conductivity. Kubo formulas are presented for all transport coefficients and constraints from Weyl invariance derived. We also present a number of St. reda-type formulas for the equilibrium response to external electric, magnetic and gravitational fields.
引用
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页数:27
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