BOND-OPERATOR REPRESENTATION OF QUANTUM SPINS - MEAN-FIELD THEORY OF FRUSTRATED QUANTUM HEISENBERG ANTIFERROMAGNETS

被引:443
作者
SACHDEV, S [1 ]
BHATT, RN [1 ]
机构
[1] AT&T BELL LABS,MURRAY HILL,NJ 07974
来源
PHYSICAL REVIEW B | 1990年 / 41卷 / 13期
关键词
D O I
10.1103/PhysRevB.41.9323
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We introduce a new representation of S=1/2 quantum spins in terms of bond operators. The bond operators create and annihilate singlet and triplet bonds between a pair of spins. The representation is useful in describing the transition between dimerized and magnetically ordered phases of quantum antiferromagnets. It is used to obtain a mean-field theory of the two-dimensional frustrated quantum Heisenberg antiferromagnets considered recently by Gelfand, Singh, and Huse. The method should also be useful in the analysis of random quantum antiferromagnets. © 1990 The American Physical Society.
引用
收藏
页码:9323 / 9329
页数:7
相关论文
共 13 条
[1]   THE RESONATING VALENCE BOND STATE IN LA2CUO4 AND SUPERCONDUCTIVITY [J].
ANDERSON, PW .
SCIENCE, 1987, 235 (4793) :1196-1198
[2]   WIGNER COEFFICIENTS FOR R4 GROUP AND SOME APPLICATIONS [J].
BIEDENHARN, L .
JOURNAL OF MATHEMATICAL PHYSICS, 1961, 2 (03) :433-&
[3]   LOW-TEMPERATURE BEHAVIOR OF TWO-DIMENSIONAL QUANTUM ANTIFERROMAGNETS [J].
CHAKRAVARTY, S ;
HALPERIN, BI ;
NELSON, DR .
PHYSICAL REVIEW LETTERS, 1988, 60 (11) :1057-1060
[4]   ISING TRANSITION IN FRUSTRATED HEISENBERG MODELS [J].
CHANDRA, P ;
COLEMAN, P ;
LARKIN, AI .
PHYSICAL REVIEW LETTERS, 1990, 64 (01) :88-91
[5]   POSSIBLE SPIN-LIQUID STATE AT LARGE S FOR THE FRUSTRATED SQUARE HEISENBERG LATTICE [J].
CHANDRA, P ;
DOUCOT, B .
PHYSICAL REVIEW B, 1988, 38 (13) :9335-9338
[6]   PHASE-DIAGRAM OF THE FRUSTRATED SPIN-1/2 HEISENBERG-ANTIFERROMAGNET IN 2 DIMENSIONS [J].
DAGOTTO, E ;
MOREO, A .
PHYSICAL REVIEW LETTERS, 1989, 63 (19) :2148-2151
[7]  
FIGUEIRIDO F, UNPUB
[8]  
GELFAND MP, UNPUB
[10]   SOME FEATURES OF THE PHASE-DIAGRAM OF THE SQUARE LATTICE SU(N) ANTIFERROMAGNET [J].
READ, N ;
SACHDEV, S .
NUCLEAR PHYSICS B, 1989, 316 (03) :609-640