From one to two dimensions in quantum spin systems

被引：3

作者：

Fledderjohann, A ^{[1
]}

Mutter, KH ^{[1
]}

Yang, MS ^{[1
]}

Karbach, M ^{[1
]}

机构：

[1] Univ Wuppertal, Dept Phys, D-42097 Wuppertal, Germany

来源：

PHYSICAL REVIEW B | 1998年 / 57卷 / 02期

关键词：

D O I：

10.1103/PhysRevB.57.956

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We study the first derivative of the staggered magnetization squared dm(tau)(theta)(2)/d theta and the second derivative d(2)e(0)(theta)/d theta(2) of the ground-state energy per site. The parameter theta controls the anisotropy between horizontal and vertical couplings in a two-dimensional (2D) spin-1/2 antiferromagnetic Heisenberg model. It is shown that both derivatives diverge at theta=1, where the anisotropic 2D model reduces to the 1D model. [S0163-1829(98)04402-6].

引用

页码：956 / 963

页数：8

共 22 条

[1] QUANTUM SPIN CHAINS AND THE HALDANE GAP [J].

AFFLECK, I .

JOURNAL OF PHYSICS-CONDENSED MATTER, 1989, 1 (19) :3047-3072

[2] A PLANE OF WEAKLY COUPLED HEISENBERG-CHAINS - THEORETICAL ARGUMENTS AND NUMERICAL-CALCULATIONS [J].

AFFLECK, I ;

GELFAND, MP ;

SINGH, RRP .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1994, 27 (22) :7313-7325

[3]

AFFLECK I, 1989, J PHYS A, V22

[4] THE 2D HEISENBERG ANTIFERROMAGNET IN HIGH-Tic SUPERCONDUCTIVITY A Review of Numerical Techniques and Results [J].

Barnes, T. .

INTERNATIONAL JOURNAL OF MODERN PHYSICS C, 1991, 2 (02)

[5] SPIN-SPIN CORRELATION-FUNCTIONS FOR THE SQUARE-LATTICE HEISENBERG-ANTIFERROMAGNET AT ZERO-TEMPERATURE [J].

CANALI, CM ;

WALLIN, M .

PHYSICAL REVIEW B, 1993, 48 (05) :3264-3280

[6] Critical properties of the one-dimensional spin-1/2 antiferromagnetic Heisenberg model in the presence of a uniform field [J].

Fledderjohann, A ;

Gerhardt, C ;

Mutter, KH ;

Schmitt, A ;

Karbach, M .

PHYSICAL REVIEW B, 1996, 54 (10) :7168-7176

[7] COMPUTATION OF DYNAMICAL STRUCTURE FACTORS WITH THE RECURSION METHOD [J].

FLEDDERJOHANN, A ;

KARBACH, M ;

MUTTER, KH ;

WIELATH, P .

JOURNAL OF PHYSICS-CONDENSED MATTER, 1995, 7 (47) :8993-9003

[8] GROUND-STATE STAGGERED MAGNETIZATION OF THE ANTIFERROMAGNETIC HEISENBERG-MODEL [J].

HAAN, O ;

KLAETKE, JU ;

MUTTER, KH .

PHYSICAL REVIEW B, 1992, 46 (09) :5723-5726

[9] CONTINUUM DYNAMICS OF THE 1-D HEISENBERG ANTI-FERROMAGNET - IDENTIFICATION WITH THE O(3) NON-LINEAR SIGMA-MODEL [J].

HALDANE, FDM .

PHYSICS LETTERS A, 1983, 93 (09) :464-468

[10]

Hulthen L., 1938, ARK FYS A, V26A, P1

← 1 2 3 →