DIMENSIONALITY DEPENDENCE OF DYNAMIC CORRELATIONS - EXACT RESULTS FROM A QUANTUM MANY-BODY SYSTEM

被引：12

作者：

SEN, S

机构：

来源：

PROCEEDINGS OF THE ROYAL SOCIETY-MATHEMATICAL AND PHYSICAL SCIENCES | 1993年 / 441卷 / 1911期

关键词：

D O I：

10.1098/rspa.1993.0054

中图分类号：

学科分类号：

摘要：

Using one of the simplest model interacting quantum many body systems it is shown that the relaxation function behaves remarkably differently at low temperatures depending upon whether the lattice dimensionality of the system, D < infinity or -->infinity). The results illustrate the possible limitations of mean-field descriptions of dynamics at T < T(c) in quantum many body systems.

引用

收藏

页码：169 / 179

页数：11

相关论文

共 23 条

[1] TIME-DEPENDENT CORRELATIONS FOR SPIN VAN DER WAALS SYSTEMS [J].

DEKEYSER, R ;

LEE, MH .

PHYSICAL REVIEW B, 1979, 19 (01) :265-273

[2] MOMENT AND CONTINUED FRACTION EXPANSIONS OF TIME AUTOCORRELATION FUNCTIONS [J].

DUPUIS, M .

PROGRESS OF THEORETICAL PHYSICS, 1967, 37 (03) :502-&

[3] PERPENDICULAR SUSCEPTIBILITY OF ISING MODEL [J].

FISHER, ME .

JOURNAL OF MATHEMATICAL PHYSICS, 1963, 4 (01) :124-&

[4] THE PERPENDICULAR SUSCEPTIBILITY OF AN ANISOTROPIC ANTIFERROMAGNET [J].

FISHER, ME .

PHYSICA, 1960, 26 (08) :618-622

[5] TRANSFORMATIONS OF ISING MODELS [J].

FISHER, ME .

PHYSICAL REVIEW, 1959, 113 (04) :969-981

[6]

FLORENCIO J, 1993, UNPUB SOLID ST COMMU

[7] ORDER-DISORDER IN HEXAGONAL LATTICES [J].

HOUTAPPEL, RMF .

PHYSICA, 1950, 16 (05) :425-455

[8] STATISTICAL MECHANICS OF ANISOTROPIC LINEAR HEISENBERG MODEL [J].

KATSURA, S .

PHYSICAL REVIEW, 1962, 127 (05) :1508-&

[9] DEVELOPMENT OF A PHASE TRANSITION FOR A RIGOROUSLY SOLVABLE MANY-BODY SYSTEM [J].

KITTEL, C ;

SHORE, H .

PHYSICAL REVIEW, 1965, 138 (4A) :1165-&

[10] FLUCTUATION-DISSIPATION THEOREM [J].

KUBO, R .

REPORTS ON PROGRESS IN PHYSICS, 1966, 29 :255-+