{ "id": "cond-mat/0503553", "version": "v2", "published": "2005-03-22T19:00:01.000Z", "updated": "2005-05-05T17:27:33.000Z", "title": "Emergent Geometric Hamiltonian and Insulator-Superfluid Phase Transitions", "authors": [ "Fei Zhou" ], "comment": "5 pages, no figures; a reference added", "doi": "10.1103/PhysRevB.73.035102", "categories": [ "cond-mat.dis-nn" ], "abstract": "I argue that certain bosonic insulator-superfluid phase transitions as an interaction constant varies are driven by emergent geometric properties of insulating states. The {\\em renormalized} chemical potential and distribution of disordered bosons define the geometric aspect of an effective low energy Hamiltonian which I employ to study various resonating states and quantum phase transitions. In a mean field approximation, I also demonstrate that the quantum phase transitions are in the universality class of a percolation problem.", "revisions": [ { "version": "v2", "updated": "2005-05-05T17:27:33.000Z" } ], "analyses": { "keywords": [ "emergent geometric hamiltonian", "quantum phase transitions", "bosonic insulator-superfluid phase transitions", "interaction constant varies", "emergent geometric properties" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. B" }, "note": { "typesetting": "TeX", "pages": 5, "language": "en", "license": "arXiv", "status": "editable" } } }