KAGOME SPIN-1/2 ANTIFERROMAGNETS IN THE HYPERBOLIC PLANE

被引:44
作者
ELSER, V
ZENG, C
机构
[1] Laboratory of Atomic and Solid State Physics, Cornell University, Ithaca
来源
PHYSICAL REVIEW B | 1993年 / 48卷 / 18期
关键词
D O I
10.1103/PhysRevB.48.13647
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Spin-dimerized states are useful in the construction of spin-disordered wave functions but difficult to deal with because of nonorthogonality. For the spin-1/2 kagome antiferromagnet, a systematic expansion of matrix elements of these nonorthogonal states is made possible by considering generalizations of the kagome structure in the hyperbolic plane. The first nontrivial term in this expansion is an effective spin Hamiltonian which describes resonance among dimerized states. Minimum-energy states of the effective Hamiltonian correspond to a high degree of resonance among a small fraction of the dimers.
引用
收藏
页码:13647 / 13653
页数:7
相关论文
共 11 条
[1]   ANTIFERROMAGNETIC FLUCTUATIONS AND SHORT-RANGE ORDER IN A KAGOME LATTICE [J].
BROHOLM, C ;
AEPPLI, G ;
ESPINOSA, GP ;
COOPER, AS .
PHYSICAL REVIEW LETTERS, 1990, 65 (25) :3173-3176
[2]  
CHUBUKOV AV, UNPUB
[3]   NUCLEAR ANTIFERROMAGNETISM IN A REGISTERED HE-3 SOLID [J].
ELSER, V .
PHYSICAL REVIEW LETTERS, 1989, 62 (20) :2405-2408
[4]   HEAT-CAPACITY OF MULTILAYERS OF HE-3 ADSORBED ON GRAPHITE AT LOW MILLIKELVIN TEMPERATURES [J].
GREYWALL, DS .
PHYSICAL REVIEW B, 1990, 41 (04) :1842-1862
[5]   ANTIFERROMAGNETIC CORRELATIONS OF THE RESONATING-VALENCE-BOND STATE [J].
KOHMOTO, M ;
SHAPIR, Y .
PHYSICAL REVIEW B, 1988, 37 (16) :9439-9442
[6]   NUMERICAL-STUDIES OF A 36-SITE KAGOME ANTIFERROMAGNET [J].
LEUNG, PW ;
ELSER, V .
PHYSICAL REVIEW B, 1993, 47 (09) :5459-5462
[7]   STATISTICS OF THE EXCITATIONS OF THE RESONATING-VALENCE-BOND STATE [J].
READ, N ;
CHAKRABORTY, B .
PHYSICAL REVIEW B, 1989, 40 (10) :7133-7140
[8]   SUPERCONDUCTIVITY AND THE QUANTUM HARD-CORE DIMER GAS [J].
ROKHSAR, DS ;
KIVELSON, SA .
PHYSICAL REVIEW LETTERS, 1988, 61 (20) :2376-2379
[9]   SPIN-PEIERLS GROUND-STATES OF THE QUANTUM DIMER MODEL - A FINITE-SIZE STUDY [J].
SACHDEV, S .
PHYSICAL REVIEW B, 1989, 40 (07) :5204-5207
[10]   KAGOME-LATTICE AND TRIANGULAR-LATTICE HEISENBERG ANTIFERROMAGNETS - ORDERING FROM QUANTUM FLUCTUATIONS AND QUANTUM-DISORDERED GROUND-STATES WITH UNCONFINED BOSONIC SPINONS [J].
SACHDEV, S .
PHYSICAL REVIEW B, 1992, 45 (21) :12377-12396