Novel pairing in the Hubbard model with confinement potential

Masahiko Machida, Susumu Yamada, Yoji Ohashi, Hideki Matsumoto

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

We explore a novel type of pairing in the repulsive Hubbard model with a confinement potential. Such an undertaking situation including the confinement potential is realized in a part of intense spatial modulations observed in High-Tc cuprate superconductors, while an atomic Fermi gas loaded on an optical lattice is described by the Hubbard model with the confinement potential. In this paper, applying the exact diagonalization method to a one-dimensional Hubbard model with the confinement potential, we find that, when U exceeds a critical value, the binding energy of two Fermi atoms becomes 'negative, indicating that an attractive interaction effectively works between two fermions. In this case, a 'Mott core' appears in the confinement center, where each site is occupied by one atom, and the Cooper-pair function strongly develops between fermions in the left and right hand sides of this core.

Original languageEnglish
Pages (from-to)90-93
Number of pages4
JournalPhysica C: Superconductivity and its Applications
Volume445-448
Issue number1-2
DOIs
Publication statusPublished - 2006 Oct 1
Externally publishedYes

Fingerprint

Hubbard model
Fermions
Optical lattices
Atoms
Binding energy
fermions
Gases
Modulation
cuprates
atoms
binding energy
modulation
gases
interactions

Keywords

  • Confinement potential
  • Cooper pair function
  • Hubbard model
  • Mott phase

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

Novel pairing in the Hubbard model with confinement potential. / Machida, Masahiko; Yamada, Susumu; Ohashi, Yoji; Matsumoto, Hideki.

In: Physica C: Superconductivity and its Applications, Vol. 445-448, No. 1-2, 01.10.2006, p. 90-93.

Research output: Contribution to journalArticle

Machida, Masahiko ; Yamada, Susumu ; Ohashi, Yoji ; Matsumoto, Hideki. / Novel pairing in the Hubbard model with confinement potential. In: Physica C: Superconductivity and its Applications. 2006 ; Vol. 445-448, No. 1-2. pp. 90-93.
@article{03892aa86d4c4f35bed121f7c85a9d69,
title = "Novel pairing in the Hubbard model with confinement potential",
abstract = "We explore a novel type of pairing in the repulsive Hubbard model with a confinement potential. Such an undertaking situation including the confinement potential is realized in a part of intense spatial modulations observed in High-Tc cuprate superconductors, while an atomic Fermi gas loaded on an optical lattice is described by the Hubbard model with the confinement potential. In this paper, applying the exact diagonalization method to a one-dimensional Hubbard model with the confinement potential, we find that, when U exceeds a critical value, the binding energy of two Fermi atoms becomes 'negative, indicating that an attractive interaction effectively works between two fermions. In this case, a 'Mott core' appears in the confinement center, where each site is occupied by one atom, and the Cooper-pair function strongly develops between fermions in the left and right hand sides of this core.",
keywords = "Confinement potential, Cooper pair function, Hubbard model, Mott phase",
author = "Masahiko Machida and Susumu Yamada and Yoji Ohashi and Hideki Matsumoto",
year = "2006",
month = "10",
day = "1",
doi = "10.1016/j.physc.2006.03.086",
language = "English",
volume = "445-448",
pages = "90--93",
journal = "Physica C: Superconductivity and its Applications",
issn = "0921-4534",
publisher = "Elsevier",
number = "1-2",

}

TY - JOUR

T1 - Novel pairing in the Hubbard model with confinement potential

AU - Machida, Masahiko

AU - Yamada, Susumu

AU - Ohashi, Yoji

AU - Matsumoto, Hideki

PY - 2006/10/1

Y1 - 2006/10/1

N2 - We explore a novel type of pairing in the repulsive Hubbard model with a confinement potential. Such an undertaking situation including the confinement potential is realized in a part of intense spatial modulations observed in High-Tc cuprate superconductors, while an atomic Fermi gas loaded on an optical lattice is described by the Hubbard model with the confinement potential. In this paper, applying the exact diagonalization method to a one-dimensional Hubbard model with the confinement potential, we find that, when U exceeds a critical value, the binding energy of two Fermi atoms becomes 'negative, indicating that an attractive interaction effectively works between two fermions. In this case, a 'Mott core' appears in the confinement center, where each site is occupied by one atom, and the Cooper-pair function strongly develops between fermions in the left and right hand sides of this core.

AB - We explore a novel type of pairing in the repulsive Hubbard model with a confinement potential. Such an undertaking situation including the confinement potential is realized in a part of intense spatial modulations observed in High-Tc cuprate superconductors, while an atomic Fermi gas loaded on an optical lattice is described by the Hubbard model with the confinement potential. In this paper, applying the exact diagonalization method to a one-dimensional Hubbard model with the confinement potential, we find that, when U exceeds a critical value, the binding energy of two Fermi atoms becomes 'negative, indicating that an attractive interaction effectively works between two fermions. In this case, a 'Mott core' appears in the confinement center, where each site is occupied by one atom, and the Cooper-pair function strongly develops between fermions in the left and right hand sides of this core.

KW - Confinement potential

KW - Cooper pair function

KW - Hubbard model

KW - Mott phase

UR - http://www.scopus.com/inward/record.url?scp=33747891704&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33747891704&partnerID=8YFLogxK

U2 - 10.1016/j.physc.2006.03.086

DO - 10.1016/j.physc.2006.03.086

M3 - Article

VL - 445-448

SP - 90

EP - 93

JO - Physica C: Superconductivity and its Applications

JF - Physica C: Superconductivity and its Applications

SN - 0921-4534

IS - 1-2

ER -