Singlet excitations in pyrochlore: A study of quantum frustration

被引:105
作者
Berg, E [1 ]
Altman, E [1 ]
Auerbach, A [1 ]
机构
[1] Technion Israel Inst Technol, Dept Phys, IL-32000 Haifa, Israel
关键词
D O I
10.1103/PhysRevLett.90.147204
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We apply the contractor renormalization (CORE) method to the spin half Heisenberg antiferromagnet on the frustrated checkerboard and pyrochlore lattices. Their ground states are spin-gapped singlets which break lattice symmetry. Their effective Hamiltonians describe fluctuations of orthogonal singlet pairs on tetrahedral blocks, at an emergent low energy scale. We discuss low temperature thermodynamics and new interpretations of finite size numerical data. We argue that our results are common to many models of quantum frustration.
引用
收藏
页数:4
相关论文
共 19 条
[1]   Plaquette boson-fermion model of cuprates [J].
Altman, E ;
Auerbach, A .
PHYSICAL REVIEW B, 2002, 65 (10) :1-15
[2]  
BERG E, IN PRESS
[3]   Planar pyrochlore: A strong-coupling analysis [J].
Brenig, W ;
Honecker, A .
PHYSICAL REVIEW B, 2002, 65 (14) :1-4
[4]   From the square lattice to the checkerboard lattice:: Spin-wave and large-n limit analysis -: art. no. 184408 [J].
Canals, B .
PHYSICAL REVIEW B, 2002, 65 (18) :1-8
[5]   Pyrochlore antiferromagnet: A three-dimensional quantum spin liquid [J].
Canals, B ;
Lacroix, C .
PHYSICAL REVIEW LETTERS, 1998, 80 (13) :2933-2936
[6]   QUANTUM FIELD-THEORIES ON A LATTICE - VARIATIONAL METHODS FOR ARBITRARY COUPLING STRENGTHS AND ISING-MODEL IN A TRANSVERSE MAGNETIC-FIELD [J].
DRELL, SD ;
WEINSTEIN, M ;
YANKIELOWICZ, S .
PHYSICAL REVIEW D, 1977, 16 (06) :1769-1781
[7]  
FOUET JB, CONDMAT0108070
[8]   ORDERING BY QUANTUM FLUCTUATIONS IN A STRONGLY FRUSTRATED HEISENBERG-ANTIFERROMAGNET [J].
HARRIS, AB ;
BERLINSKY, AJ ;
BRUDER, C .
JOURNAL OF APPLIED PHYSICS, 1991, 69 (08) :5200-5202
[9]  
Henley CL, 2001, CAN J PHYS, V79, P1307, DOI 10.1139/cjp-79-11/12-1307
[10]   Emergent excitations in a geometrically frustrated magnet [J].
Lee, SH ;
Broholm, C ;
Ratcliff, W ;
Gasparovic, G ;
Huang, Q ;
Kim, TH ;
Cheong, SW .
NATURE, 2002, 418 (6900) :856-858