{ "id": "1408.6843", "version": "v1", "published": "2014-08-28T20:00:08.000Z", "updated": "2014-08-28T20:00:08.000Z", "title": "Hydrodynamics on the lowest Landau level", "authors": [ "Michael Geracie", "Dam Thanh Son" ], "categories": [ "cond-mat.mes-hall", "hep-th" ], "abstract": "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 Streda-type formulas for the equilibrium response to external electric, magnetic and gravitational fields.", "revisions": [ { "version": "v1", "updated": "2014-08-28T20:00:08.000Z" } ], "analyses": { "keywords": [ "lowest landau level", "hydrodynamics", "thermal hall conductivity", "quantum hall physics", "non-relativistic fluid equations" ], "publication": { "doi": "10.1007/JHEP06(2015)044", "journal": "Journal of High Energy Physics", "year": 2015, "month": "Jun", "volume": 2015, "pages": 44 }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "inspire": 1312999, "adsabs": "2015JHEP...06..044G" } } }