Charge susceptibility of the Hubbard chain with next-nearest-neighbor hopping

Hiroki Nakano, Yoshinori Takahashi, Masatoshi Imada

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

Metal-insulator transition is one of hot issues in condensed-matter physics. The transition between the doped metal and the Mott insulator can be realized in the Hubbard model theoretically. It was recently found that the ground state of the one-dimensional Hubbard model with next-nearest-neighbor hopping clearly shows partial ferromagnetism in the metallic phase near the half-filled Mott insulator. We study the hole density (δ) dependence of the charge susceptibility (χc) of this model by means of exact diagonalization of finite-size clusters. The behavior of the charge susceptibility characterizes the nature of the metal-insulator transition. We find that a region where the critical exponent α defined by χc∝δ-α is α=3 in sharp contrast with the known exponent α=1 in the ordinary one-dimensional Hubbard model.

Original languageEnglish
Pages (from-to)657-659
Number of pages3
JournalPhysica B: Condensed Matter
Volume359-361
Issue numberSPEC. ISS.
DOIs
Publication statusPublished - 2005 Apr 30
Externally publishedYes

Fingerprint

Hubbard model
Metal insulator transition
insulators
magnetic permeability
Condensed matter physics
Ferromagnetism
exponents
metals
Ground state
condensed matter physics
Metals
ferromagnetism
ground state

Keywords

  • Hubbard model
  • Metal-insulator transition
  • Partial ferromagnetism

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Electrical and Electronic Engineering

Cite this

Charge susceptibility of the Hubbard chain with next-nearest-neighbor hopping. / Nakano, Hiroki; Takahashi, Yoshinori; Imada, Masatoshi.

In: Physica B: Condensed Matter, Vol. 359-361, No. SPEC. ISS., 30.04.2005, p. 657-659.

Research output: Contribution to journalArticle

Nakano, Hiroki ; Takahashi, Yoshinori ; Imada, Masatoshi. / Charge susceptibility of the Hubbard chain with next-nearest-neighbor hopping. In: Physica B: Condensed Matter. 2005 ; Vol. 359-361, No. SPEC. ISS. pp. 657-659.
@article{4c05e7eacdd54685bac7107e471db9e5,
title = "Charge susceptibility of the Hubbard chain with next-nearest-neighbor hopping",
abstract = "Metal-insulator transition is one of hot issues in condensed-matter physics. The transition between the doped metal and the Mott insulator can be realized in the Hubbard model theoretically. It was recently found that the ground state of the one-dimensional Hubbard model with next-nearest-neighbor hopping clearly shows partial ferromagnetism in the metallic phase near the half-filled Mott insulator. We study the hole density (δ) dependence of the charge susceptibility (χc) of this model by means of exact diagonalization of finite-size clusters. The behavior of the charge susceptibility characterizes the nature of the metal-insulator transition. We find that a region where the critical exponent α defined by χc∝δ-α is α=3 in sharp contrast with the known exponent α=1 in the ordinary one-dimensional Hubbard model.",
keywords = "Hubbard model, Metal-insulator transition, Partial ferromagnetism",
author = "Hiroki Nakano and Yoshinori Takahashi and Masatoshi Imada",
year = "2005",
month = "4",
day = "30",
doi = "10.1016/j.physb.2005.01.176",
language = "English",
volume = "359-361",
pages = "657--659",
journal = "Physica B: Condensed Matter",
issn = "0921-4526",
publisher = "Elsevier",
number = "SPEC. ISS.",

}

TY - JOUR

T1 - Charge susceptibility of the Hubbard chain with next-nearest-neighbor hopping

AU - Nakano, Hiroki

AU - Takahashi, Yoshinori

AU - Imada, Masatoshi

PY - 2005/4/30

Y1 - 2005/4/30

N2 - Metal-insulator transition is one of hot issues in condensed-matter physics. The transition between the doped metal and the Mott insulator can be realized in the Hubbard model theoretically. It was recently found that the ground state of the one-dimensional Hubbard model with next-nearest-neighbor hopping clearly shows partial ferromagnetism in the metallic phase near the half-filled Mott insulator. We study the hole density (δ) dependence of the charge susceptibility (χc) of this model by means of exact diagonalization of finite-size clusters. The behavior of the charge susceptibility characterizes the nature of the metal-insulator transition. We find that a region where the critical exponent α defined by χc∝δ-α is α=3 in sharp contrast with the known exponent α=1 in the ordinary one-dimensional Hubbard model.

AB - Metal-insulator transition is one of hot issues in condensed-matter physics. The transition between the doped metal and the Mott insulator can be realized in the Hubbard model theoretically. It was recently found that the ground state of the one-dimensional Hubbard model with next-nearest-neighbor hopping clearly shows partial ferromagnetism in the metallic phase near the half-filled Mott insulator. We study the hole density (δ) dependence of the charge susceptibility (χc) of this model by means of exact diagonalization of finite-size clusters. The behavior of the charge susceptibility characterizes the nature of the metal-insulator transition. We find that a region where the critical exponent α defined by χc∝δ-α is α=3 in sharp contrast with the known exponent α=1 in the ordinary one-dimensional Hubbard model.

KW - Hubbard model

KW - Metal-insulator transition

KW - Partial ferromagnetism

UR - http://www.scopus.com/inward/record.url?scp=18244398658&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=18244398658&partnerID=8YFLogxK

U2 - 10.1016/j.physb.2005.01.176

DO - 10.1016/j.physb.2005.01.176

M3 - Article

VL - 359-361

SP - 657

EP - 659

JO - Physica B: Condensed Matter

JF - Physica B: Condensed Matter

SN - 0921-4526

IS - SPEC. ISS.

ER -