{ "id": "1101.3541", "version": "v1", "published": "2011-01-18T20:26:28.000Z", "updated": "2011-01-18T20:26:28.000Z", "title": "Torsional Response and Dissipationless Viscosity in Topological Insulators", "authors": [ "Taylor L. Hughes", "Robert G. Leigh", "Eduardo Fradkin" ], "comment": "4+epsilon pages, 1 figure", "journal": "Phys Rev Lett. 107, 075502 (2011)", "doi": "10.1103/PhysRevLett.107.075502", "categories": [ "cond-mat.mes-hall", "hep-th" ], "abstract": "We consider the visco-elastic response of the electronic degrees of freedom in 2D and 3D topological insulators (TI). Our primary focus is on the 2D Chern insulator which exhibits a bulk dissipationless viscosity analogous to the quantum Hall viscosity predicted in integer and fractional quantum Hall states. We show that the dissipationless viscosity is the response of a TI to torsional deformations of the underlying lattice geometry. The visco-elastic response also indicates that crystal dislocations in Chern insulators will carry momentum density. We briefly discuss generalizations to 3D which imply that time-reversal invariant TI's will exhibit a quantum Hall viscosity on their surfaces.", "revisions": [ { "version": "v1", "updated": "2011-01-18T20:26:28.000Z" } ], "analyses": { "subjects": [ "62.20.D-", "04.50.Kd", "73.43.-f" ], "keywords": [ "topological insulators", "torsional response", "quantum hall viscosity", "visco-elastic response", "fractional quantum hall states" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review Letters", "year": 2011, "month": "Aug", "volume": 107, "number": 7, "pages": "075502" }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "inspire": 884797, "adsabs": "2011PhRvL.107g5502H" } } }