POSITIVE-PROJECTION MONTE-CARLO SIMULATION - A NEW VARIATIONAL APPROACH TO STRONGLY INTERACTING FERMION SYSTEMS

被引：29

作者：

FAHY, SB ^{[1
]}

HAMANN, DR ^{[1
]}

机构：

[1] AT&T BELL LABS,MURRAY HILL,NJ 07974

来源：

PHYSICAL REVIEW LETTERS | 1990年 / 65卷 / 27期

关键词：

D O I：

10.1103/PhysRevLett.65.3437

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We show that very accurate ground-state energies and correlation functions can be obtained from an approximate, variational form of the widely used auxiliary-field simulation method. It is derived by recasting this method as a diffusion problem, and does not exhibit the poor statistical behavior due to vanishing normalization or "sign" common to exact fermion simulations. We give illustrative results for two-dimensional Hubbard models.

引用

页码：3437 / 3440

页数：4

共 15 条

[1]

[Anonymous], 1986, MONTE CARLO METHODS

[2] MONTE-CARLO CALCULATIONS OF COUPLED BOSON-FERMION SYSTEMS .1. [J].

BLANKENBECLER, R ;

SCALAPINO, DJ ;

SUGAR, RL .

PHYSICAL REVIEW D, 1981, 24 (08) :2278-2286

[3] HYBRID MONTE-CARLO [J].

DUANE, S ;

KENNEDY, AD ;

PENDLETON, BJ ;

ROWETH, D .

PHYSICS LETTERS B, 1987, 195 (02) :216-222

[4] DIFFUSIVE BEHAVIOR OF STATES IN THE HUBBARD-STRATONOVITCH TRANSFORMATION [J].

FAHY, S ;

HAMANN, DR .

PHYSICAL REVIEW B, 1991, 43 (01) :765-779

[5] ENERGY MEASUREMENT IN AUXILIARY-FIELD MANY-ELECTRON CALCULATIONS [J].

HAMANN, DR ;

FAHY, SB .

PHYSICAL REVIEW B, 1990, 41 (16) :11352-11363

[6] CALCULATION OF PARTITION FUNCTIONS [J].

HUBBARD, J .

PHYSICAL REVIEW LETTERS, 1959, 3 (02) :77-78

[7] SIGN PROBLEM IN THE NUMERICAL-SIMULATION OF MANY-ELECTRON SYSTEMS [J].

LOH, EY ;

GUBERNATIS, JE ;

SCALETTAR, RT ;

WHITE, SR ;

SCALAPINO, DJ ;

SUGAR, RL .

PHYSICAL REVIEW B, 1990, 41 (13) :9301-9307

[8] THE MONTE CARLO METHOD [J].

METROPOLIS, N ;

ULAM, S .

JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1949, 44 (247) :335-341

[9]

Parola A., 1989, International Journal of Modern Physics B, V3, P1865, DOI 10.1142/S0217979289001202

[10] FIXED-NODE QUANTUM MONTE-CARLO FOR MOLECULES [J].

REYNOLDS, PJ ;

CEPERLEY, DM ;

ALDER, BJ ;

LESTER, WA .

JOURNAL OF CHEMICAL PHYSICS, 1982, 77 (11) :5593-5603

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