Quantum-number projection in the path-integral renormalization group method

Takahiro Mizusaki, Masatoshi Imada

Research output: Contribution to journalArticle

46 Citations (Scopus)

Abstract

We present a quantum-number projection technique which enables us to exactly treat spin, momentum, and other symmetries embedded in the Hubbard model. By combining this projection technique, we extend the path-integral renormalization-group method to improve the efficiency of numerical computations. By taking numerical calculations for the standard Hubbard model and the Hubbard model with next-nearest-neighbor transfer, we show that the present extended method can extremely enhance numerical accuracy and that it can handle excited states, in addition to the ground state.

Original languageEnglish
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume69
Issue number12
DOIs
Publication statusPublished - 2004 Mar 23
Externally publishedYes

Fingerprint

Hubbard model
renormalization group methods
quantum numbers
projection
momentum
Excited states
Ground state
ground state
Momentum
symmetry
excitation

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Cite this

Quantum-number projection in the path-integral renormalization group method. / Mizusaki, Takahiro; Imada, Masatoshi.

In: Physical Review B - Condensed Matter and Materials Physics, Vol. 69, No. 12, 23.03.2004.

Research output: Contribution to journalArticle

@article{f5d4b5389381493f8cc8d268015a1d33,
title = "Quantum-number projection in the path-integral renormalization group method",
abstract = "We present a quantum-number projection technique which enables us to exactly treat spin, momentum, and other symmetries embedded in the Hubbard model. By combining this projection technique, we extend the path-integral renormalization-group method to improve the efficiency of numerical computations. By taking numerical calculations for the standard Hubbard model and the Hubbard model with next-nearest-neighbor transfer, we show that the present extended method can extremely enhance numerical accuracy and that it can handle excited states, in addition to the ground state.",
author = "Takahiro Mizusaki and Masatoshi Imada",
year = "2004",
month = "3",
day = "23",
doi = "10.1103/PhysRevB.69.125110",
language = "English",
volume = "69",
journal = "Physical Review B-Condensed Matter",
issn = "0163-1829",
publisher = "American Institute of Physics Publising LLC",
number = "12",

}

TY - JOUR

T1 - Quantum-number projection in the path-integral renormalization group method

AU - Mizusaki, Takahiro

AU - Imada, Masatoshi

PY - 2004/3/23

Y1 - 2004/3/23

N2 - We present a quantum-number projection technique which enables us to exactly treat spin, momentum, and other symmetries embedded in the Hubbard model. By combining this projection technique, we extend the path-integral renormalization-group method to improve the efficiency of numerical computations. By taking numerical calculations for the standard Hubbard model and the Hubbard model with next-nearest-neighbor transfer, we show that the present extended method can extremely enhance numerical accuracy and that it can handle excited states, in addition to the ground state.

AB - We present a quantum-number projection technique which enables us to exactly treat spin, momentum, and other symmetries embedded in the Hubbard model. By combining this projection technique, we extend the path-integral renormalization-group method to improve the efficiency of numerical computations. By taking numerical calculations for the standard Hubbard model and the Hubbard model with next-nearest-neighbor transfer, we show that the present extended method can extremely enhance numerical accuracy and that it can handle excited states, in addition to the ground state.

UR - http://www.scopus.com/inward/record.url?scp=2342426912&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=2342426912&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.69.125110

DO - 10.1103/PhysRevB.69.125110

M3 - Article

AN - SCOPUS:2342426912

VL - 69

JO - Physical Review B-Condensed Matter

JF - Physical Review B-Condensed Matter

SN - 0163-1829

IS - 12

ER -