Griffiths-McCoy singularities in the transverse field Ising model on the randomly diluted square lattice

被引:20
作者
Ikegami, T [1 ]
Miyashita, S
Rieger, H
机构
[1] Osaka Univ, Grad Sch Sci, Dept Earth & Space Sci, Osaka 5600043, Japan
[2] Forschungszentrum Julich, HLRZ, D-52425 Julich, Germany
关键词
QPT; Griffiths-McCoy singularities; multi-critical point; dynamical exponent;
D O I
10.1143/JPSJ.67.2671
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The site-diluted transverse field Ising model in two dimensions is studied with Quantum-Monte-Carlo simulations. Its phase diagram is determined in the transverse field (Gamma) and temperature (T) plane for various (fixed) concentrations (p). The nature of the quantum Griffiths phase at zero temperature is investigated by calculating the distribution of the local zero-frequency susceptibility. It is pointed out that the nature of the Griffiths phase is different for small and large Gamma.
引用
收藏
页码:2671 / 2677
页数:7
相关论文
共 30 条
[1]  
[Anonymous], 1972, PHASE TRANSITIONS CR
[2]   Simulations of discrete quantum systems in continuous Euclidean time [J].
Beard, BB ;
Wiese, UJ .
PHYSICAL REVIEW LETTERS, 1996, 77 (25) :5130-5133
[3]   Square-lattice Heisenberg antiferromagnet at very large correlation lengths [J].
Beard, BB ;
Birgeneau, RJ ;
Greven, M ;
Wiese, UJ .
PHYSICAL REVIEW LETTERS, 1998, 80 (08) :1742-1745
[4]   A DILUTED QUANTUM TRANSVERSE ISING-MODEL IN 2 DIMENSIONS [J].
BHATTACHARYA, S ;
RAY, P .
PHYSICS LETTERS A, 1984, 101 (07) :346-348
[5]  
BIKAS K, 1996, QUANTUM ISING PHASE
[6]   DYNAMICS OF DILUTE MAGNETS ABOVE TC [J].
BRAY, AJ .
PHYSICAL REVIEW LETTERS, 1988, 60 (08) :720-723
[7]   THE PURE AND DILUTED QUANTUM TRANSVERSE ISING-MODEL [J].
DOSSANTOS, RR .
JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1982, 15 (14) :3141-3161
[8]   ISING MODEL WITH A TRANSVERSE FIELD .1. HIGH TEMPERATURE EXPANSION [J].
ELLIOTT, RJ ;
WOOD, C .
JOURNAL OF PHYSICS PART C SOLID STATE PHYSICS, 1971, 4 (15) :2359-+
[9]   RANDOM TRANSVERSE FIELD ISING SPIN CHAINS [J].
FISHER, DS .
PHYSICAL REVIEW LETTERS, 1992, 69 (03) :534-537
[10]   NONANALYTIC BEHAVIOR ABOVE CRITICAL POINT IN A RANDOM ISING FERROMAGNET [J].
GRIFFITHS, RB .
PHYSICAL REVIEW LETTERS, 1969, 23 (01) :17-+