MODIFIED SPIN-WAVE THEORY FOR THE FRUSTRATED HEISENBERG ANTIFERROMAGNET ON A SQUARE LATTICE

被引:5
作者
Wu, You [1 ]
Chen, Yuan [1 ]
机构
[1] Guangzhou Univ, Coll Phys & Elect Engn, Dept Phys, Guangzhou 510006, Guangdong, Peoples R China
来源
INTERNATIONAL JOURNAL OF MODERN PHYSICS B | 2013年 / 27卷 / 11期
基金
中国国家自然科学基金;
关键词
Heisenberg antiferromagnet; modified spin-wave theory; frustration; MAGNON DISPERSION; SERIES;
D O I
10.1142/S0217979213500215
中图分类号
O59 [应用物理学];
学科分类号
摘要
The effects of quantum fluctuations due to frustration between nearest neighbors and next-nearest neighbors of the quantum spin-half Heisenberg antiferromagnet on a square lattice are investigated by using the modified spin-wave theory (MSW). We have extended Takahashi's MSW theory, and studied the ground-state and finite-temperature properties of this model. The results calculated within this formalism on the thermodynamics agree quite well with the quantum Monte Carlo estimates, and exact diagonalization results. We have also compared the present method with the conventional spin wave theory.
引用
收藏
页数:16
相关论文
共 33 条
[1]   AN APPROXIMATE QUANTUM THEORY OF THE ANTIFERROMAGNETIC GROUND STATE [J].
ANDERSON, PW .
PHYSICAL REVIEW, 1952, 86 (05) :694-701
[2]   SPIN-1/2 FRUSTRATED HEISENBERG-MODEL AT FINITE TEMPERATURE [J].
BACCI, S ;
GAGLIANO, E ;
DAGOTTO, E .
PHYSICAL REVIEW B, 1991, 44 (01) :285-292
[3]  
Chalker JT, 2011, SPRINGER SER SOLID-S, V164, P3
[4]   Effect of spin-phonon coupling on the Haldane gap in antiferromagnetic Heisenberg chains [J].
Gouvea, M. E. ;
Pires, A. S. T. .
PHYSICAL REVIEW B, 2007, 75 (05)
[5]   Modified spin-wave theory with ordering vector optimization: frustrated bosons on the spatially anisotropic triangular lattice [J].
Hauke, Philipp ;
Roscilde, Tommaso ;
Murg, Valentin ;
Cirac, J. Ignacio ;
Schmied, Roman .
NEW JOURNAL OF PHYSICS, 2010, 12
[6]   SPIN-WAVE THEORY OF THE QUANTUM ANTIFERROMAGNET WITH UNBROKEN SUBLATTICE SYMMETRY [J].
HIRSCH, JE ;
TANG, SY .
PHYSICAL REVIEW B, 1989, 40 (07) :4769-4772
[7]   Field dependence of the intrinsic domain magnetization of a ferromagnet [J].
Holstein, T ;
Primakoff, H .
PHYSICAL REVIEW, 1940, 58 (12) :1098-1113
[8]   Hierarchical mean-field approach to the J1-J2 Heisenberg model on a square lattice [J].
Isaev, L. ;
Ortiz, G. ;
Dukelsky, J. .
PHYSICAL REVIEW B, 2009, 79 (02)
[9]   Low temperature behavior and crossovers of the square lattice quantum Heisenberg antiferromagnet [J].
Kim, JK ;
Troyer, M .
PHYSICAL REVIEW LETTERS, 1998, 80 (12) :2705-2708
[10]   Frustrated Heisenberg antiferromagnets:: Fluctuation-induced first order vs. deconfined quantum criticality [J].
Krüger, F ;
Scheidl, S .
EUROPHYSICS LETTERS, 2006, 74 (05) :896-902