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.
机构:
Univ Paris Saclay, Univ Paris Sud, CNRS, Lab Math Orsay, F-91405 Orsay, FranceUniv Paris Saclay, Univ Paris Sud, CNRS, Lab Math Orsay, F-91405 Orsay, France
Gerard, Patrick
Germain, Pierre
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h-index: 0
机构:
Courant Inst Math Sci, 251 Mercer St, New York, NY 10012 USAUniv Paris Saclay, Univ Paris Sud, CNRS, Lab Math Orsay, F-91405 Orsay, France
Germain, Pierre
Thomann, Laurent
论文数: 0引用数: 0
h-index: 0
机构:
Univ Lorraine, Inst Elie Cartan, BP 70239, F-54506 Vandoeuvre Les Nancy, FranceUniv Paris Saclay, Univ Paris Sud, CNRS, Lab Math Orsay, F-91405 Orsay, France