Efficient cluster algorithm for CP(N-1) models

被引:9
作者
Beard, B. B.
Pepe, M.
Riederer, S.
Wiese, U. J.
机构
[1] Univ Bern, Inst Theoret Phys, CH-3012 Bern, Switzerland
[2] Christian Bros Univ, Dept Phys & Mech Engn, Memphis, TN 38104 USA
[3] Univ Milano Bicocca, Ist Nazl Fis Nucl, I-20126 Milan, Italy
[4] Univ Milano Bicocca, Dipartimento Fis, I-20126 Milan, Italy
关键词
spontaneous symmetry breaking; CP(N-1) models; dimensional reduction; critical slowing down; cluster algorithm;
D O I
10.1016/j.cpc.2006.06.007
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
Despite several attempts, no efficient cluster algorithm has been constructed for CP(N - 1) models in the standard Wilson formulation of lattice field theory. In fact, there is a no-go theorem that prevents the construction of an efficient Wolff-type embedding algorithm. In this paper, we construct an efficient cluster algorithm for ferromagnetic SU(N)-symmetric quantum spin systems. Such systems provide a regularization for CP(N - 1) models in the framework of D-theory. We present detailed studies of the autocorrelations and find a dynamical critical exponent that is consistent with z = 0. (C) 2006 Elsevier B.V. All rights reserved.
引用
收藏
页码:629 / 634
页数:6
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