T = 0 FINITE-SIZE-SCALING FOR A QUANTUM SYSTEM WITH LONG-RANGE INTERACTION

Authors
Citation
H. Chamati, T = 0 FINITE-SIZE-SCALING FOR A QUANTUM SYSTEM WITH LONG-RANGE INTERACTION, Physica. A, 212(3-4), 1994, pp. 357-368
Citations number
31
Language
INGLESE
art.tipo
Article
Categorie Soggetti
Physics
Journal title
ISSN journal
0378-4371
Volume
212
Issue
3-4
Year of publication
1994
Pages
357 - 368
Database
ISI
SICI code
0378-4371(1994)212:3-4<357:T=0FFA>2.0.ZU;2-#
Abstract
The general idea of finite size scaling are tested by the example of t he pure quantum version of an exactly solvable model of structural pha se transition with long-range interaction decaying at large distances r as r(-d-sigma), where d is the space dimensionality and sigma > 0. T he finite size shift of the quantum parameter (playing the same role a s that of the temperature for classical systems) is calculated for the general geometry L(d-d') x infinity(d'), with 0 < d' < d. The root me an square order parameter is evaluated for 0 < d' < sigma/2.