Monte Carlo study of O(3) antiferromagnetic models in three dimensions

被引:41
作者
Alonso, JL [1 ]
Tarancon, A [1 ]
Ballesteros, HG [1 ]
Fernandez, LA [1 ]
MartinMayor, V [1 ]
Sudupe, AM [1 ]
机构
[1] UNIV COMPLUTENSE MADRID,FAC CIENCIAS FIS,DEPT FIS TEOR 1,E-28040 MADRID,SPAIN
来源
PHYSICAL REVIEW B | 1996年 / 53卷 / 05期
关键词
D O I
10.1103/PhysRevB.53.2537
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We study three antiferromagnetic formulations of the O(3) spin model in three dimensions by means of Monte Carlo simulations: (1) a two parameter sigma model with nearest- and next-nearest neighbors couplings in a cubic lattice; (2) a face-centered-cubic lattice with nearest-neighbor interaction; (3) a cubic lattice with a set of fully frustrating couplings. We discuss in all cases the vacua properties and analyze the phase transitions. Using finite-size scaling analysis we conclude that all phase transitions found are of first order.
引用
收藏
页码:2537 / 2545
页数:9
相关论文
共 34 条
[1]   NONUNIVERSALITY IN HELICAL AND CANTED-SPIN SYSTEMS [J].
AZARIA, P ;
DELAMOTTE, B ;
JOLICOEUR, T .
PHYSICAL REVIEW LETTERS, 1990, 64 (26) :3175-3178
[2]   SPONTANEOUS SYMMETRY-BREAKING IN QUANTUM FRUSTRATED ANTIFERROMAGNETS [J].
AZARIA, P ;
DELAMOTTE, B ;
MOUHANNA, D .
PHYSICAL REVIEW LETTERS, 1993, 70 (16) :2483-2486
[3]  
Bednorz J. G., 1986, Z PHYS B, V64, P188
[4]   SIGNATURE OF NEEL ORDER IN EXACT SPECTRA OF QUANTUM ANTIFERROMAGNETS ON FINITE LATTICES [J].
BERNU, B ;
LHUILLIER, C ;
PIERRE, L .
PHYSICAL REVIEW LETTERS, 1992, 69 (17) :2590-2593
[5]   FINITE SIZE SCALING ANALYSIS OF ISING-MODEL BLOCK DISTRIBUTION-FUNCTIONS [J].
BINDER, K .
ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, 1981, 43 (02) :119-140
[6]   WOLFF-TYPE EMBEDDING ALGORITHMS FOR GENERAL NONLINEAR SIGMA-MODELS [J].
CARACCIOLO, S ;
EDWARDS, RG ;
PELISSETTO, A ;
SOKAL, AD .
NUCLEAR PHYSICS B, 1993, 403 (1-2) :475-541
[7]   TWO-DIMENSIONAL QUANTUM HEISENBERG-ANTIFERROMAGNET AT LOW-TEMPERATURES [J].
CHAKRAVARTY, S ;
HALPERIN, BI ;
NELSON, DR .
PHYSICAL REVIEW B, 1989, 39 (04) :2344-2371
[8]   1ST-ORDER TRANSITION IN FRUSTRATED QUANTUM ANTIFERROMAGNETS [J].
CHUBUKOV, A .
PHYSICAL REVIEW B, 1991, 44 (01) :392-394
[9]  
CHUBUKOV A, 1994, NUCL PHYS B, V429, P601
[10]   OVERRELAXATION AND MONTE-CARLO SIMULATION [J].
CREUTZ, M .
PHYSICAL REVIEW D, 1987, 36 (02) :515-519