Odd-Particle Systems in the Shell Model Monte Carlo Method: Circumventing a Sign Problem

Mukherjee, Abhishek; Alhassid, Y.

doi:10.1103/PhysRevLett.109.032503

Title: Odd-Particle Systems in the Shell Model Monte Carlo Method: Circumventing a Sign Problem

Full Record
Other Related Research

Authors:: Mukherjee, Abhishek; Alhassid, Y.

Publication Date:: Tue Jul 17 00:00:00 EDT 2012

Sponsoring Org.:: USDOE

OSTI Identifier:: 1102937

Resource Type:: Publisher's Accepted Manuscript

Journal Name:: Physical Review Letters

Additional Journal Information:: Journal Volume: 109; Journal Issue: 3; Journal ID: ISSN 0031-9007

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Citation Formats


                    Mukherjee, Abhishek, and Alhassid, Y. Odd-Particle Systems in the Shell Model Monte Carlo Method: Circumventing a Sign Problem.  United States: N. p., 2012. 
Web.  doi:10.1103/PhysRevLett.109.032503.

Copy to clipboard


                    Mukherjee, Abhishek, & Alhassid, Y. Odd-Particle Systems in the Shell Model Monte Carlo Method: Circumventing a Sign Problem.  United States.  https://doi.org/10.1103/PhysRevLett.109.032503

Copy to clipboard


                    Mukherjee, Abhishek, and Alhassid, Y. Tue .  
"Odd-Particle Systems in the Shell Model Monte Carlo Method: Circumventing a Sign Problem".  United States.  https://doi.org/10.1103/PhysRevLett.109.032503.

Copy to clipboard


                    
@article{osti_1102937,

  title        = {Odd-Particle Systems in the Shell Model Monte Carlo Method: Circumventing a Sign Problem},

  author       = {Mukherjee, Abhishek and Alhassid, Y.},

  abstractNote = {},

  doi          = {10.1103/PhysRevLett.109.032503},

  journal      = {Physical Review Letters},

  number       = 3,

  volume       = 109,

  place        = {United States},

  year         = {Tue Jul 17 00:00:00 EDT 2012},

  month        = {Tue Jul 17 00:00:00 EDT 2012}

}

Copy to clipboard

Journal Article:

Free Publicly Available Full Text

Accepted Manuscript (Publisher)

Publisher's Version of Record
https://doi.org/10.1103/PhysRevLett.109.032503

Other availability

Search WorldCat to find libraries that may hold this journal

Citation Metrics:

Cited by: 9 works

Citation information provided by
Web of Science

Save / Share:

Export Metadata

Save to My Library

Similar Records in DOE PAGES and OSTI.GOV collections:

Sum rules regarding the sign problem in Monte Carlo shell model calculations

Journal Article Johnson, C W ; Dean, D J - Physical Review. C, Nuclear Physics

The Monte Carlo shell model is a powerful technique for computational nuclear structure. Only a certain class of nuclear interactions, however, such as pairing and quadrupole, is free of the numerical noise known as the sign problem. This paper presents sum rules that relate the sign problem to the J=0 pairing matrix elements, thus illuminating the extrapolation procedure routinely used for realistic shell-model interactions. (c) 2000 The American Physical Society.
https://doi.org/10.1103/PhysRevC.61.044327
Particle-Number Reprojection in the Shell Model Monte Carlo Method: Application to Nuclear Level Densities

Journal Article Alhassid, Y ; Liu, S ; Nakada, H - Physical Review Letters

We introduce a particle-number reprojection method in the shell model Monte Carlo that enables the calculation of observables for a series of nuclei using a Monte Carlo sampling for a single nucleus. The method is applied to calculate nuclear level densities in the complete (pf+g{sub 9/2}) -shell using a good-sign Hamiltonian. Level densities of odd-A and odd-odd nuclei are reliably extracted despite an additional sign problem. Both the mass and the T{sub z} dependence of the experimental level densities are well described without any adjustable parameters. The odd-even staggering observed in the calculated backshift parameter follows the experimental data moremore »« less
https://doi.org/10.1103/PhysRevLett.83.4265
Nuclear state densities of odd-mass heavy nuclei in the shell model Monte Carlo approach

Journal Article Özen, C. ; Alhassid, Y. ; Nakada, H. - Physical Review C
Cited by 14
https://doi.org/10.1103/PhysRevC.91.034329
A Monte Carlo study of the ``minus sign problem`` in the t-J model using an intel IPSC/860 hypercube

Conference Kovarik, M D ; Barnes, T ; Tennessee Univ., Knoxville, TN

We describe a Monte Carlo simulation of the 2-dimensional t-J model on an Intel iPSC/860 hypercube. The problem studied is the determination of the dispersion relation of a dynamical hole in the t-J model of the high temperature superconductors. Since this problem involves the motion of many fermions in more than one spatial dimensions, it is representative of the class of systems that suffer from the ``minus sign problem`` of dynamical fermions which has made Monte Carlo simulation very difficult. We demonstrate that for small values of the hole hopping parameter one can extract the entire hole dispersion relation usingmore »« less
Full Text Available
Auxiliary field quantum Monte Carlo for multiband Hubbard models: Controlling the sign and phase problems to capture Hund's physics

Journal Article Hao, Hongxia ; Rubenstein, Brenda M. ; Shi, Hao - Physical Review. B

In the study of strongly correlated, many-electron systems, the Hubbard-Kanamori (HK) model has emerged as one of the prototypes for transition metal oxide physics. The model is multiband in nature and contains Hund's coupling terms, which have pronounced effects on metal-insulator transitions, high-temperature superconductivity, and other physical properties. In the following, we present a complete theoretical framework for treating the HK model using the ground-state auxiliary field quantum Monte Carlo (AFQMC) method and analyze its performance on few-band models whose parameters approximate those observed in ruthenates, rhodates, and other materials exhibiting Hund's physics. Unlike previous studies, the constrained path andmore »« less
Cited by 6
https://doi.org/10.1103/physrevb.99.235142

Full Text Available

Similar Records