Out-of-equilibrium dynamics of a quantum Heisenberg spin glass

被引:26
作者
Biroli, G [1 ]
Parcollet, O [1 ]
机构
[1] Rutgers State Univ, Dept Phys & Astron, Ctr Mat Theory, Piscataway, NJ 08854 USA
来源
PHYSICAL REVIEW B | 2002年 / 65卷 / 09期
关键词
D O I
10.1103/PhysRevB.65.094414
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We study the out-of-equilibrium dynamics of the infinite range quantum Heisenberg spin glass model coupled to a thermal relaxation bath. The SU(2) spin algebra is generalized to SU(N) and we analyze the large-N limit. The model displays a dynamical phase transition between a paramagnetic and a glassy phase. In the latter, the system remains out-of-equilibrium and displays an aging phenomenon, which we characterize using both analytical and numerical methods. In the aging regime, the quantum fluctuation-dissipation relation is violated and replaced over a very long time by its classical generalization, as in models involving simple spin algebras studied previously. We also discuss the effect of a finite coupling to the relaxation baths and their possible forms. This work completes and justifies previous studies on this model using a static approach.
引用
收藏
页码:1 / 15
页数:15
相关论文
共 55 条
[1]  
[Anonymous], 1992, SMR
[2]  
Auerbach A., 1994, INTERACTING ELECT QU
[3]  
BELLON L, CONDMAT0008160
[4]   Quantum Thouless-Anderson-Palmer equations for glassy systems [J].
Biroli, G ;
Cugliandolo, LF .
PHYSICAL REVIEW B, 2001, 64 (01) :142061-1420615
[5]  
BOUCHAUD JP, 1997, SPIN GLASSES RANDOM
[6]   REPLICA THEORY OF QUANTUM SPIN-GLASSES [J].
BRAY, AJ ;
MOORE, MA .
JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1980, 13 (24) :L655-L660
[7]   Non-Fermi-liquid behavior in U and Ce alloys: Criticality, disorder, dissipation, and Griffiths-McCoy singularities [J].
Castro Neto, AH ;
Jones, BA .
PHYSICAL REVIEW B, 2000, 62 (22) :14975-15011
[8]   SPIN-GLASS BEHAVIOR IN LA1.96SR0.04CUO4 [J].
CHOU, FC ;
BELK, NR ;
KASTNER, MA ;
BIRGENEAU, RJ ;
AHARONY, A .
PHYSICAL REVIEW LETTERS, 1995, 75 (11) :2204-2207
[9]   COMPETING STRUCTURAL ORDERINGS AND TRANSITIONS TO GLASS IN MIXED-CRYSTALS OF RB1-X(NH4)XH2PO4 [J].
COURTENS, E .
JOURNAL DE PHYSIQUE LETTRES, 1982, 43 (06) :L199-L204
[10]  
CUGLIANDOLO L, COMMUNICATION