Novel pairing in the Hubbard model with confinement potential

Masahiko Machida; Susumu Yamada; Yoji Ohashi; Hideki Matsumoto

doi:10.1016/j.physc.2006.03.086

Novel pairing in the Hubbard model with confinement potential

Masahiko Machida, Susumu Yamada, Yoji Ohashi, Hideki Matsumoto

Research output: Contribution to journal › Article › peer-review

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-T_c 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 language	English
Pages (from-to)	90-93
Number of pages	4
Journal	Physica C: Superconductivity and its applications
Volume	445-448
Issue number	1-2
DOIs	https://doi.org/10.1016/j.physc.2006.03.086
Publication status	Published - 2006 Oct 1
Externally published	Yes

Keywords

Confinement potential
Cooper pair function
Hubbard model
Mott phase

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Condensed Matter Physics
Energy Engineering and Power Technology
Electrical and Electronic Engineering

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10.1016/j.physc.2006.03.086

Cite this

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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.",

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author = "Masahiko Machida and Susumu Yamada and Yoji Ohashi and Hideki Matsumoto",

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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

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Novel pairing in the Hubbard model with confinement potential

Abstract

Keywords

ASJC Scopus subject areas

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