Matsubara Green's function and its analytic continuation using flat histogram quantum Monte Carlo simulation

被引：2

作者：

Diamantis, Nikolaos G. ^{[1
]}

Manousakis, Efstratios ^{[1
,2
,3
]}

机构：

[1] Univ Athens, Dept Phys, Athens 15784, Greece

[2] Florida State Univ, Dept Phys, Tallahassee, FL 32306 USA

[3] Florida State Univ, Natl High Magnet Field Lab, Tallahassee, FL 32306 USA

来源：

Proceedings of the 28th Workshop on Computer Simulation Studies in Condensed Matter Physics (CSP2015) | 2015年 / 68卷

关键词：

Computational techniques; computer modeling and simulation; Monte Carlo method; analytical continuation; HOLE; ANTIFERROMAGNET; POLARON;

D O I：

10.1016/j.phpro.2015.07.113

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

We demonstrate that by incorporating flat histogram techniques in the quantum Monte Carlo simulation, we can calculate the Matsubara Green's function for significantly larger values of the imaginary time. This allows us to obtain more accurate results for the spectral function, particularly for low energy excitations, using known techniques for analytic continuation to real time. (C) 2015 The Authors. Published by Elsevier B.V.

引用

页码：85 / 89

页数：5

共 12 条

[1]

Beach K.S.D., 2004, ARXIVCONDMAT0403055

[2] MULTICANONICAL ALGORITHMS FOR 1ST ORDER PHASE-TRANSITIONS [J].

BERG, BA ;

NEUHAUS, T .

PHYSICS LETTERS B, 1991, 267 (02) :249-253

[3]

de Oliveira P.M. C., 1996, J PHYS, V26, P677

[4] Flat histogram diagrammatic Monte Carlo method: Calculation of the Green's function in imaginary time [J].

Diamantis, Nikolaos G. ;

Manousakis, Efstratios .

PHYSICAL REVIEW E, 2013, 88 (04)

[5] Analytic continuation of quantum Monte Carlo data by stochastic analytical inference [J].

Fuchs, Sebastian ;

Pruschke, Thomas ;

Jarrell, Mark .

PHYSICAL REVIEW E, 2010, 81 (05)

[6] Bayesian inference and the analytic continuation of imaginary-time quantum Monte Carlo data [J].

Jarrell, M ;

Gubernatis, JE .

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1996, 269 (03) :133-195

[7] MOTION OF A SINGLE HOLE IN A QUANTUM ANTIFERROMAGNET [J].

KANE, CL ;

LEE, PA ;

READ, N .

PHYSICAL REVIEW B, 1989, 39 (10) :6880-6897

[8] SPECTRAL-FUNCTION OF A HOLE IN THE T-J MODEL [J].

LIU, ZP ;

MANOUSAKIS, E .

PHYSICAL REVIEW B, 1991, 44 (05) :2414-2417

[9] DYNAMIC PROPERTIES OF A HOLE IN A HEISENBERG-ANTIFERROMAGNET [J].

LIU, ZP ;

MANOUSAKIS, E .

PHYSICAL REVIEW B, 1992, 45 (05) :2425-2437

[10] Diagrammatic quantum Monte Carlo study of the Frohlich polaron [J].

Mishchenko, AS ;

Prokof'ev, NV ;

Sakamoto, A ;

Svistunov, BV .

PHYSICAL REVIEW B, 2000, 62 (10) :6317-6336

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