Algorithms and applications of path-integral renormalization group method

Masatoshi Imada, Takahiro Mizusaki

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

Path-integral renormalization-group (PIRG) method is a rapidly developing tool for computing ground state properties of interacting quantum systems on lattices, particularly models for strongly correlated electrons such as the Hubbard model. It has served in clarifying phase diagrams of the Hubbard model containing quantum spin liquid phase. PIRG has also been implemented as a low-energy solver of the effective Hamiltonian for realistic systems. This makes it possible to construct a scheme of first-principles calculation by the hybrid approach combined with the density functional theory.

Original languageEnglish
Title of host publicationEffective Models for Low-Dimensional Strongly Correlated Systems
Pages78-91
Number of pages14
DOIs
Publication statusPublished - 2006 Feb 15
Externally publishedYes
EventEffective Models for Low-Dimensional Strongly Correlated Systems - Peyresq, France
Duration: 2005 Sep 122005 Sep 16

Publication series

NameAIP Conference Proceedings
Volume816
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

ConferenceEffective Models for Low-Dimensional Strongly Correlated Systems
CountryFrance
CityPeyresq
Period05/9/1205/9/16

Fingerprint

renormalization group methods
liquid phases
phase diagrams
density functional theory
ground state
electrons
energy

Keywords

  • First-principles method
  • Hubbard model
  • Strongly correlated electrons

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Imada, M., & Mizusaki, T. (2006). Algorithms and applications of path-integral renormalization group method. In Effective Models for Low-Dimensional Strongly Correlated Systems (pp. 78-91). (AIP Conference Proceedings; Vol. 816). https://doi.org/10.1063/1.2178033

Algorithms and applications of path-integral renormalization group method. / Imada, Masatoshi; Mizusaki, Takahiro.

Effective Models for Low-Dimensional Strongly Correlated Systems. 2006. p. 78-91 (AIP Conference Proceedings; Vol. 816).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Imada, M & Mizusaki, T 2006, Algorithms and applications of path-integral renormalization group method. in Effective Models for Low-Dimensional Strongly Correlated Systems. AIP Conference Proceedings, vol. 816, pp. 78-91, Effective Models for Low-Dimensional Strongly Correlated Systems, Peyresq, France, 05/9/12. https://doi.org/10.1063/1.2178033
Imada M, Mizusaki T. Algorithms and applications of path-integral renormalization group method. In Effective Models for Low-Dimensional Strongly Correlated Systems. 2006. p. 78-91. (AIP Conference Proceedings). https://doi.org/10.1063/1.2178033
Imada, Masatoshi ; Mizusaki, Takahiro. / Algorithms and applications of path-integral renormalization group method. Effective Models for Low-Dimensional Strongly Correlated Systems. 2006. pp. 78-91 (AIP Conference Proceedings).
@inproceedings{3f692b6b45054344ba96a4d3138d3d24,
title = "Algorithms and applications of path-integral renormalization group method",
abstract = "Path-integral renormalization-group (PIRG) method is a rapidly developing tool for computing ground state properties of interacting quantum systems on lattices, particularly models for strongly correlated electrons such as the Hubbard model. It has served in clarifying phase diagrams of the Hubbard model containing quantum spin liquid phase. PIRG has also been implemented as a low-energy solver of the effective Hamiltonian for realistic systems. This makes it possible to construct a scheme of first-principles calculation by the hybrid approach combined with the density functional theory.",
keywords = "First-principles method, Hubbard model, Strongly correlated electrons",
author = "Masatoshi Imada and Takahiro Mizusaki",
year = "2006",
month = "2",
day = "15",
doi = "10.1063/1.2178033",
language = "English",
isbn = "0735403090",
series = "AIP Conference Proceedings",
pages = "78--91",
booktitle = "Effective Models for Low-Dimensional Strongly Correlated Systems",

}

TY - GEN

T1 - Algorithms and applications of path-integral renormalization group method

AU - Imada, Masatoshi

AU - Mizusaki, Takahiro

PY - 2006/2/15

Y1 - 2006/2/15

N2 - Path-integral renormalization-group (PIRG) method is a rapidly developing tool for computing ground state properties of interacting quantum systems on lattices, particularly models for strongly correlated electrons such as the Hubbard model. It has served in clarifying phase diagrams of the Hubbard model containing quantum spin liquid phase. PIRG has also been implemented as a low-energy solver of the effective Hamiltonian for realistic systems. This makes it possible to construct a scheme of first-principles calculation by the hybrid approach combined with the density functional theory.

AB - Path-integral renormalization-group (PIRG) method is a rapidly developing tool for computing ground state properties of interacting quantum systems on lattices, particularly models for strongly correlated electrons such as the Hubbard model. It has served in clarifying phase diagrams of the Hubbard model containing quantum spin liquid phase. PIRG has also been implemented as a low-energy solver of the effective Hamiltonian for realistic systems. This makes it possible to construct a scheme of first-principles calculation by the hybrid approach combined with the density functional theory.

KW - First-principles method

KW - Hubbard model

KW - Strongly correlated electrons

UR - http://www.scopus.com/inward/record.url?scp=33751255086&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33751255086&partnerID=8YFLogxK

U2 - 10.1063/1.2178033

DO - 10.1063/1.2178033

M3 - Conference contribution

AN - SCOPUS:33751255086

SN - 0735403090

SN - 9780735403093

T3 - AIP Conference Proceedings

SP - 78

EP - 91

BT - Effective Models for Low-Dimensional Strongly Correlated Systems

ER -