{ "id": "1306.4765", "version": "v2", "published": "2013-06-20T06:50:00.000Z", "updated": "2013-09-16T14:10:42.000Z", "title": "Influence of long-range interactions on charge ordering phenomena on a square lattice", "authors": [ "Louk Rademaker", "Yohanes Pramudya", "Jan Zaanen", "Vladimir Dobrosavljevic" ], "comment": "8 pages, 8 figures", "journal": "Phys. Rev. E 88, 032121 (2013)", "doi": "10.1103/PhysRevE.88.032121", "categories": [ "cond-mat.stat-mech", "cond-mat.quant-gas", "cond-mat.str-el" ], "abstract": "Usually complex charge ordering phenomena arise due to competing interactions. We have studied how such ordered patterns emerge from the frustration of a long-ranged interaction on a lattice. Using the lattice gas model on a square lattice with fixed particle density, we have identified several interesting phases; such as a generalization of Wigner crystals at low particle densities and stripe phases at densities in between rho = 1/3 and rho = 1/2. These stripes act as domain walls in the checkerboard phase present at half-filling. The phases are characterised at zero temperatures using numerical simulations, and mean field theory is used to construct a finite temperature phase diagram.", "revisions": [ { "version": "v2", "updated": "2013-09-16T14:10:42.000Z" } ], "analyses": { "subjects": [ "64.60.Cn", "64.70.Rh" ], "keywords": [ "square lattice", "long-range interactions", "complex charge ordering phenomena arise", "particle density", "finite temperature phase diagram" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review E", "year": 2013, "month": "Sep", "volume": 88, "number": 3, "pages": "032121" }, "note": { "typesetting": "TeX", "pages": 8, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013PhRvE..88c2121R" } } }