{ "id": "cond-mat/9709081", "version": "v1", "published": "1997-09-05T19:09:34.000Z", "updated": "1997-09-05T19:09:34.000Z", "title": "``Bare'' Effective Mass in Finite Sized $ν= 1/2$ Systems", "authors": [ "A. Raghav Chari", "F. D. M. Haldane" ], "comment": "9 pages (Revtex), 6 ps figures (included)", "categories": [ "cond-mat.mes-hall" ], "abstract": "In this note, we discuss the effective mass of quasiparticles in finite sized $\\nu = 1/2$ systems in the lowest Landau level, given a natural notion we have of the Fermi surface in these finite sized systems. The effective mass is related to the difference between instantaneous density-density response functions of the ground state and excited states of the system; we do a finite size calculation for this difference for $\\nu = 1/2$ systems with 7, 8 and 9 fermions, and conjecture how the difference must look in the thermodynamic limit.", "revisions": [ { "version": "v1", "updated": "1997-09-05T19:09:34.000Z" } ], "analyses": { "keywords": [ "effective mass", "lowest landau level", "difference", "instantaneous density-density response functions", "finite size calculation" ], "note": { "typesetting": "RevTeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "1997cond.mat..9081R" } } }