{ "id": "1508.00993", "version": "v1", "published": "2015-08-05T07:48:26.000Z", "updated": "2015-08-05T07:48:26.000Z", "title": "Orbital Magnetization in Molecules and in Condensed Matter", "authors": [ "Raffaello Bianco", "Raffaele Resta" ], "categories": [ "cond-mat.mes-hall" ], "abstract": "The orbital magnetic moment of a finite piece of matter is expressed in terms of the one-body density matrix as a simple trace. We address a macroscopic system, insulating in the bulk, and we show that its orbital moment is the sum of a bulk term and a surface term, both extensive. The latter only occurs when the transverse conductivity is nonzero and owes to conducting surface states. Simulations on a model Hamiltonian validate our theory; its relationships with the known $\\bf{k}$-space formulas for crystalline insulators are also discussed.", "revisions": [ { "version": "v1", "updated": "2015-08-05T07:48:26.000Z" } ], "analyses": { "keywords": [ "orbital magnetization", "condensed matter", "orbital magnetic moment", "one-body density matrix", "model hamiltonian validate" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }