The spin-1 Ising spin glass: a renormalization-group approach

被引:13
作者
Albino, A [1 ]
Nobre, FD [1 ]
da Costa, FA [1 ]
机构
[1] Univ Fed Rio Grande Norte, Dept Fis Teor & Expt, BR-59072970 Natal, RN, Brazil
关键词
D O I
10.1088/0953-8984/12/26/317
中图分类号
O469 [凝聚态物理学];
学科分类号
070205 ;
摘要
The nearest-neighbour-interaction spin-1 Ising spin glass, in the presence of a random crystal field, is considered on diamond hierarchical lattices of fractal dimensions d = 2, 3 and 4. The coupling constants and crystal fields follow Gaussian probability distributions, which are taken as independent, at the beginning of the iteration process. By monitoring simultaneously the evolution of two probability distributions, associated respectively with the renormalized coupling constants and crystal fields, the phase diagrams of the model are obtained. A spin-glass phase, at finite temperatures, is found for hierarchical lattices with d = 3 and 4, but not for d = 2. Two distinct attractors characterized by zero effective coupling constants are detected. Following the usual procedure, i.e. associating an equilibrium phase with each basin of attraction, one obtains two phases with absence of magnetic order, namely, a zero-spin phase (where the spins prefer the 0 state) and a +/-1-spin phase (where the spins prefer +/-1 states at random).
引用
收藏
页码:5713 / 5725
页数:13
相关论文
共 38 条
[1]  
Arenzon JJ, 1996, J PHYS I, V6, P1143, DOI 10.1051/jp1:1996120
[2]   SEARCH FOR A TRANSITION IN THE 3-DIMENSIONAL +/- J ISING SPIN-GLASS [J].
BHATT, RN ;
YOUNG, AP .
PHYSICAL REVIEW LETTERS, 1985, 54 (09) :924-927
[3]   NUMERICAL-STUDIES OF ISING SPIN-GLASSES IN 2, 3, AND 4 DIMENSIONS [J].
BHATT, RN ;
YOUNG, AP .
PHYSICAL REVIEW B, 1988, 37 (10) :5606-5614
[4]   SPIN-GLASSES - EXPERIMENTAL FACTS, THEORETICAL CONCEPTS, AND OPEN QUESTIONS [J].
BINDER, K ;
YOUNG, AP .
REVIEWS OF MODERN PHYSICS, 1986, 58 (04) :801-976
[5]   Comment on "Evidence for the droplet picture of spin glasses" - Reply [J].
Bokil, H ;
Bray, AJ ;
Drossel, B ;
Moore, MA .
PHYSICAL REVIEW LETTERS, 1999, 82 (25) :5177-5177
[6]   CRITICAL-BEHAVIOR OF THE 3-DIMENSIONAL ISING SPIN-GLASS [J].
BRAY, AJ ;
MOORE, MA .
PHYSICAL REVIEW B, 1985, 31 (01) :631-633
[7]   LOWER CRITICAL DIMENSION OF ISING SPIN-GLASSES - A NUMERICAL STUDY [J].
BRAY, AJ ;
MOORE, MA .
JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1984, 17 (18) :L463-L468
[8]  
BRAY AJ, 1986, LECT NOTES PHYSICS, V275
[9]   Spin-glass model with uniform biquadratic interactions [J].
daCosta, FA ;
Nobre, F ;
Yokoi, CSO .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1997, 30 (07) :2317-2328
[10]   1ST-ORDER TRANSITION IN A SPIN-GLASS MODEL [J].
DACOSTA, FA ;
YOKOI, CSO ;
SALINAS, SRA .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1994, 27 (10) :3365-3372