Open AccessSTUDY OF A QUANTUM TRANSVERSE ISING MODEL WITH RANDOM FIELDS
Author(s) -
Ma Yu-Qiang,
ZhenYa Li
Publication year - 1990
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.39.1480
Subject(s) - ising model , random field , physics , statistical physics , path integral formulation , quantum , limit (mathematics) , discretization , field (mathematics) , representation (politics) , square lattice ising model , phase diagram , quantum mechanics , phase (matter) , mathematical analysis , mathematics , statistics , politics , political science , pure mathematics , law
In this paper, we propose a new method, which combines the pair approximation with the discretized path-integral representation, to study the quantum transverse Ising model with random-field. Full phase diagrams are obtained for various random-field distributions. When applied random fields are trimodal (and bimodal), the critical properties including the possibility of the existence of the tricritical points and rcentrance phenomena are numerically analyzed in detail. In the limit z→∞, the extended mean-field result is recovered.