Quantum phase transition in a Heisenberg antiferromagnet on a square lattice with strong plaquette interactions

被引:29
作者
Albuquerque, A. Fabricio [1 ]
Troyer, Matthias [2 ]
Oitmaa, Jaan [1 ]
机构
[1] Univ New S Wales, Sch Phys, Sydney, NSW 2052, Australia
[2] Swiss Fed Inst Technol, CH-8093 Zurich, Switzerland
基金
澳大利亚研究理事会;
关键词
D O I
10.1103/PhysRevB.78.132402
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We present numerical results for an S=1/2 Heisenberg antiferromagnet on an inhomogeneous square lattice with tunable interaction between spins belonging to different plaquettes. Employing quantum Monte Carlo, we significantly improve on previous results for the critical point separating singlet-disordered and Neel-ordered phases and obtain an estimate for the critical exponent nu consistent with the three-dimensional classical Heisenberg universality class. Additionally, we show that a fairly accurate result for the critical point can be obtained from a contractor renormalization expansion by applying a surprisingly simple analysis to the effective Hamiltonian.
引用
收藏
页数:4
相关论文
共 32 条
[1]   The ALPS project release 1.3:: Open-source software for strongly correlated systems [J].
Albuquerque, A. F. ;
Alet, F. ;
Corboz, P. ;
Dayal, P. ;
Feiguin, A. ;
Fuchs, S. ;
Gamper, L. ;
Gull, E. ;
Guertler, S. ;
Honecker, A. ;
Igarashi, R. ;
Koerner, M. ;
Kozhevnikov, A. ;
Laeuchli, A. ;
Manmana, S. R. ;
Matsumoto, M. ;
McCulloch, I. P. ;
Michel, F. ;
Noack, R. M. ;
Pawlowski, G. ;
Pollet, L. ;
Pruschke, T. ;
Schollwoeck, U. ;
Todo, S. ;
Trebst, S. ;
Troyer, M. ;
Werner, P. ;
Wessel, S. .
JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS, 2007, 310 (02) :1187-1193
[2]   Generalized directed loop method for quantum Monte Carlo simulations [J].
Alet, F ;
Wessel, S ;
Troyer, M .
PHYSICAL REVIEW E, 2005, 71 (03)
[3]   Plaquette boson-fermion model of cuprates [J].
Altman, E ;
Auerbach, A .
PHYSICAL REVIEW B, 2002, 65 (10) :1-15
[4]  
Beach K. S. D., ARXIVCONDMAT0505194
[5]   Critical exponents and equation of state of the three-dimensional Heisenberg universality class [J].
Campostrini, M ;
Hasenbusch, M ;
Pelissetto, A ;
Rossi, P ;
Vicari, E .
PHYSICAL REVIEW B, 2002, 65 (14) :1-21
[6]   Numerical contractor renormalization method for quantum spin models -: art. no. 104424 [J].
Capponi, S ;
Läuchli, A ;
Mambrini, M .
PHYSICAL REVIEW B, 2004, 70 (10) :104424-1
[7]   Effective Hamiltonian approach for strongly correlated systems [J].
Capponi, Sylvain .
THEORETICAL CHEMISTRY ACCOUNTS, 2006, 116 (4-5) :524-534
[8]   TWO-DIMENSIONAL QUANTUM HEISENBERG-ANTIFERROMAGNET AT LOW-TEMPERATURES [J].
CHAKRAVARTY, S ;
HALPERIN, BI ;
NELSON, DR .
PHYSICAL REVIEW B, 1989, 39 (04) :2344-2371
[9]   THEORY OF 2-DIMENSIONAL QUANTUM HEISENBERG ANTIFERROMAGNETS WITH A NEARLY CRITICAL GROUND-STATE [J].
CHUBUKOV, AV ;
SACHDEV, S ;
YE, J .
PHYSICAL REVIEW B, 1994, 49 (17) :11919-11961
[10]  
FISHER MPA, 1989, PHYS REV B, V40, P546, DOI [10.1103/PhysRevB.40.546, 10.1063/1.38820]