Decay of the two-point function in one-dimensional O(N) spin models with long-range interactions

被引:23
作者
Spohn, H [1 ]
Zwerger, W
机构
[1] Tech Univ Munich, Zentrum Math, D-80290 Munich, Germany
[2] Univ Munich, D-80333 Munich, Germany
关键词
D O I
10.1023/A:1004595419419
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Using Griffiths and Lieb-Simon type inequalities, it is shown that the two-point function of ferromagnetic spin models with N components in one dimension decays like the interaction J(n) similar to n(-gamma) provided that 1 less than or equal to N less than or equal to 4 and T > T-c.
引用
收藏
页码:1037 / 1043
页数:7
相关论文
共 21 条
[11]   AN INTERMEDIATE PHASE WITH SLOW DECAY OF CORRELATIONS IN ONE DIMENSIONAL 1/(X-Y)2 PERCOLATION, ISING AND POTTS MODELS [J].
IMBRIE, JZ ;
NEWMAN, CM .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1988, 118 (02) :303-336
[12]   ORDERING, METASTABILITY AND PHASE-TRANSITIONS IN 2 DIMENSIONAL SYSTEMS [J].
Kosterlitz, JM ;
Thouless, DJ .
JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1973, 6 (07) :1181-1203
[13]   PHASE-TRANSITIONS IN LONG-RANGE FERROMAGNETIC CHAINS [J].
KOSTERLITZ, JM .
PHYSICAL REVIEW LETTERS, 1976, 37 (23) :1577-1580
[14]   A REFINEMENT OF SIMONS CORRELATION-INEQUALITY [J].
LIEB, EH .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1980, 77 (02) :127-135
[15]  
NEWMAN CM, 1998, SHIBA RELATION SPIN
[16]   INTERACTION OF GOLDSTONE PARTICLES IN 2 DIMENSIONS - APPLICATIONS TO FERROMAGNETS AND MASSIVE YANG-MILLS FIELDS [J].
POLYAKOV, AM .
PHYSICS LETTERS B, 1975, 59 (01) :79-81
[17]   ZERO TEMPERATURE PHASE-DIAGRAM OF A SMALL METALLIC JUNCTION [J].
SCALIA, V ;
FALCI, G ;
FAZIO, R ;
GIAQUINTA, G .
ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, 1991, 85 (03) :427-433
[18]   INFINITE SUSCEPTIBILITY WITHOUT LONG-RANGE ORDER - THE 1/N2 PLANAR CHAIN [J].
SIMANEK, E .
PHYSICS LETTERS A, 1987, 119 (09) :477-480
[19]   CORRELATION INEQUALITIES AND THE DECAY OF CORRELATIONS IN FERROMAGNETS [J].
SIMON, B .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1980, 77 (02) :111-126
[20]  
SIMON B, 1981, J STAT PHYS, V26, P301