Variational Monte Carlo study of Hubbard model with harmonic confinement

被引:4
作者
Fujihara, Yusuke [1 ]
Koga, Akihisa [1 ]
Kawakami, Norio [1 ]
机构
[1] Osaka Univ, Dept Appl Phys, Suita, Osaka 5650871, Japan
关键词
optical lattice; variational Monte Carlo; Mott insulator;
D O I
10.1016/j.jmmm.2006.10.1083
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We study the ground-state properties of the fermionic Hubbard model with harmonic confinement, by combining the variational Monte Carlo simulations with the new stochastic method proposed by Sorella. By taking the effect of the con. ning potential into account, we demonstrate that the metallic regions coexist with the Mott insulating regions in the system, which is consistent with other numerical results. The role of the intersite doublon-holon correlations in the confined system is also addressed. (c) 2006 Elsevier B.V. All rights reserved.
引用
收藏
页码:882 / 884
页数:3
相关论文
共 9 条
[1]  
FAZEKAS P, 1988, INT J MOD PHYS B, V1, P1021
[2]   Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms [J].
Greiner, M ;
Mandel, O ;
Esslinger, T ;
Hänsch, TW ;
Bloch, I .
NATURE, 2002, 415 (6867) :39-44
[3]   CLOSE RELATION BETWEEN LOCALIZED-ELECTRON MAGNETISM AND THE PARAMAGNETIC WAVEFUNCTION OF COMPLETELY ITINERANT ELECTRONS [J].
KAPLAN, TA ;
HORSCH, P ;
FULDE, P .
PHYSICAL REVIEW LETTERS, 1982, 49 (12) :889-892
[4]   Spatial correlations of trapped one-dimensional bosons in an optical lattice -: art. no. 031601 [J].
Kollath, C ;
Schollwöck, U ;
von Delft, J ;
Zwerger, W .
PHYSICAL REVIEW A, 2004, 69 (03) :031601-1
[5]   Local quantum criticality in confined fermions on optical lattices [J].
Rigol, M ;
Muramatsu, A ;
Batrouni, GG ;
Scalettar, RT .
PHYSICAL REVIEW LETTERS, 2003, 91 (13)
[6]   Wave function optimization in the variational Monte Carlo method [J].
Sorella, S .
PHYSICAL REVIEW B, 2005, 71 (24)
[7]   VARIATIONAL MONTE-CARLO STUDIES OF HUBBARD-MODEL .3. INTERSITE CORRELATION-EFFECTS [J].
YOKOYAMA, H ;
SHIBA, H .
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1990, 59 (10) :3669-3686
[8]   Variational Monte Carlo studies of attractive Hubbard model. I - Normal-state properties [J].
Yokoyama, H .
PROGRESS OF THEORETICAL PHYSICS, 2002, 108 (01) :59-101
[9]   VARIATIONAL MONTE-CARLO STUDIES OF HUBBARD-MODEL .1. [J].
YOKOYAMA, H ;
SHIBA, H .
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1987, 56 (04) :1490-1506