Cumulant expansion for systems with large spins

被引：15

作者：

Kladko, K

Fulde, P

Garanin, DA

机构：

[1] Univ Calif Los Alamos Natl Lab, Condensed Matter Phys Grp, Los Alamos, NM 87545 USA

[2] Univ Calif Los Alamos Natl Lab, Ctr Nonlinear Studies, Div Theoret, Los Alamos, NM 87545 USA

[3] Max Planck Inst Phys Komplexer Syst, D-01187 Dresden, Germany

来源：

EUROPHYSICS LETTERS | 1999年 / 46卷 / 04期

关键词：

D O I：

10.1209/epl/i1999-00104-y

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A method is proposed for obtaining a systematic expansion of thermodynamic functions of spin systems with large spin S in powers of 1/S. It uses the cumulant technique and a coherent-state representation of the partition function Z. The expansion of Z in terms of cumulants yields an effective classical I Hamiltonian with temperature-dependent quantum corrections. For the Heisenberg quantum Hamiltonian, they have a non-Heisenberg form. The effective Hamiltonian can be solved by methods familiar for classical systems.

引用

页码：425 / 430

页数：6

共 50 条

[31] The cumulant expansion approach for strongly correlated electron models
Citro, R
Marinaro, M
HIGHLIGHTS IN CONDENSED MATTER PHYSICS, 2003, 695 : 268 - 280
[32] CUMULANT EXPANSION OF THE ORIENTATIONAL AUTO-CORRELATION FUNCTION
FERRARIO, M
EVANS, MW
ADVANCES IN MOLECULAR RELAXATION AND INTERACTION PROCESSES, 1981, 19 (2-3): : 129 - 143
[33] Convergence characteristics of the cumulant expansion for Fourier path integrals
Kunikeev, Sharif D.
Freeman, David L.
Doll, J. D.
PHYSICAL REVIEW E, 2010, 81 (06):
[34] RENORMALIZATION GROUP RECURSIONS BY VARIATIONAL CUMULANT EXPANSION APPROXIMATION
朱正坤
苏州大学学报(自然科学), 1990, (02) : 209 - 211
[35] Numerical Investigation of the Cumulant Expansion for Fourier Path Integrals
Plattner, Nuria
Kunikeev, Sharif
Freeman, David L.
Doll, Jimmie D.
APPLIED PARALLEL AND SCIENTIFIC COMPUTING, PT II, 2012, 7134 : 13 - 22
[36] CUMULANT-EXPANSION STUDY OF HOLES IN QUANTUM ANTIFERROMAGNETS
PRELOVSEK, P
SEGA, I
BONCA, J
PHYSICAL REVIEW B, 1990, 42 (16) : 10706 - 10713
[37] MULTIPLE-SCALE CUMULANT EXPANSION FOR ISOTROPIC TURBULENCE
TATSUMI, T
KIDA, S
MIZUSHIMA, J
JOURNAL OF FLUID MECHANICS, 1978, 85 (MAR) : 97 - 142
[38] An analytical probabilistic approach to the ground state of lattice quantum systems: exact results in terms of a cumulant expansion
Ostilli, M
Presilla, C
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2005,
[39] Cumulant expansion in the Holstein model: Spectral functions and mobility
Mitric, Petar
Jankovic, Veljko
Vukmirovic, Nenad
Tanaskovic, Darko
PHYSICAL REVIEW B, 2023, 107 (12)
[40] Thermodynamic properties of ferromagnetic films in variational cumulant expansion
Chen, H
Yan, YL
Mei, H
ACTA PHYSICA SINICA, 2003, 52 (10) : 2607 - 2611

← 1 2 3 4 5 →