{ "id": "cond-mat/9803346", "version": "v1", "published": "1998-03-27T23:36:50.000Z", "updated": "1998-03-27T23:36:50.000Z", "title": "Universality of transport properties in equilibrium, Goldstone theorem and chiral anomaly", "authors": [ "Anton Yu. Alekseev", "Vadim V. Cheianov", "Juerg Froehlich" ], "comment": "4 pages, LaTeX", "doi": "10.1103/PhysRevLett.81.3503", "categories": [ "cond-mat.mes-hall" ], "abstract": "We study transport in a class of physical systems possessing two conserved chiral charges. We describe a relation between universality of transport properties of such systems and the chiral anomaly. We show that the non-vanishing of a current expectation value implies the presence of gapless modes, in analogy to the Goldstone theorem. Our main tool is a new formula expressing currents in terms of anomalous commutators. Universality of conductance arises as a natural consequence of the nonrenormalization of anomalies. To illustrate our formalism we examine transport properties of a quantum wire in (1+1) dimensions and of massless QED in background magnetic field in (3+1) dimensions.", "revisions": [ { "version": "v1", "updated": "1998-03-27T23:36:50.000Z" } ], "analyses": { "keywords": [ "transport properties", "goldstone theorem", "chiral anomaly", "universality", "current expectation value implies" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. Lett." }, "note": { "typesetting": "LaTeX", "pages": 4, "language": "en", "license": "arXiv", "status": "editable", "inspire": 469230 } } }