SOLVABLE SPIN-GLASS OF QUANTUM ROTORS

被引:133
作者
YE, J [1 ]
SACHDEV, S [1 ]
READ, N [1 ]
机构
[1] YALE UNIV,DEPT APPL PHYS,NEW HAVEN,CT 06520
基金
美国国家科学基金会;
关键词
D O I
10.1103/PhysRevLett.70.4011
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We examine a model of M-component quantum rotors coupled by Gaussian-distributed random, infinite-range exchange interactions. A complete solution is obtained at M = infinity in the spin-glass and quantum-disordered phases. The quantum phase transition separating them is found to possess logarithmic violations of scaling, with no farther modifications to the leading critical behavior at any order in 1/M; this suggests that the critical properties of the transverse-field Ising model (believed to be identical to the M --> 1 limit) axe the same as those of the M = infinity quantum rotors.
引用
收藏
页码:4011 / 4014
页数:4
相关论文
共 25 条
[1]  
AEPPLI G, UNPUB P KAGOME WORKS
[2]   SOME NUMERICAL RESULTS ON KONDO PROBLEM AND INVERSE SQUARE ONE-DIMENSIONAL ISING MODEL [J].
ANDERSON, PW ;
YUVAL, G .
JOURNAL OF PHYSICS PART C SOLID STATE PHYSICS, 1971, 4 (05) :607-&
[3]   EXACT RESULTS IN KONDO PROBLEM .2. SCALING THEORY, QUALITATIVELY CORRECT SOLUTION, AND SOME NEW RESULTS ON ONE-DIMENSIONAL CLASSICAL STATISTICAL MODELS [J].
ANDERSON, PW ;
YUVAL, G ;
HAMANN, DR .
PHYSICAL REVIEW B-SOLID STATE, 1970, 1 (11) :4464-+
[4]  
[Anonymous], 1991, SPIN GLASSES, DOI [10.1017/CBO9780511628771, DOI 10.1017/CBO9780511628771]
[5]   REPLICA THEORY OF QUANTUM SPIN-GLASSES [J].
BRAY, AJ ;
MOORE, MA .
JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1980, 13 (24) :L655-L660
[6]   ANTIFERROMAGNETIC FLUCTUATIONS AND SHORT-RANGE ORDER IN A KAGOME LATTICE [J].
BROHOLM, C ;
AEPPLI, G ;
ESPINOSA, GP ;
COOPER, AS .
PHYSICAL REVIEW LETTERS, 1990, 65 (25) :3173-3176
[7]   PHASE-DIAGRAMS OF THE QUANTUM XY SPIN-GLASS MODEL IN A TRANSVERSE FIELD [J].
BUTTNER, G ;
KOPEC, TK ;
USADEL, KD .
PHYSICS LETTERS A, 1990, 149 (5-6) :248-252
[8]   INFINITE-RANGED SPIN GLASS WITH M-COMPONENT SPINS [J].
DEALMEIDA, JRL ;
JONES, RC ;
KOSTERLITZ, JM ;
THOULESS, DJ .
JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1978, 11 (21) :L871-L875
[9]   EXISTENCE OF A PHASE-TRANSITION IN A ONE-DIMENSIONAL ISING FERROMAGNET [J].
DYSON, FJ .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1969, 12 (02) :91-&
[10]   RANDOM TRANSVERSE FIELD ISING SPIN CHAINS [J].
FISHER, DS .
PHYSICAL REVIEW LETTERS, 1992, 69 (03) :534-537