### Abstract

For finite doping, relative to half filling, it is shown, within the confines of a mean-field auxiliary-operator formulation, for the strictly infinite-U, i.e., J=0, limit of the two-dimensional Hubbard model, that the spinons generate a fictitious magnetic flux to which holons are subject and vice versa. For small doping, a flux state is the absolute ground state and has 1-=2p/q, where p/q is a rational fraction and the flux per plaquette is =(p/q)0, where 0 is the flux quantum. This phenomenon can be viewed upon as an all-electron Peierls instability or as broken statistical symmetry.

Original language | English (US) |
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Pages (from-to) | 801-804 |

Number of pages | 4 |

Journal | Physical Review B |

Volume | 44 |

Issue number | 2 |

DOIs | |

State | Published - 1991 |

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### ASJC Scopus subject areas

- Condensed Matter Physics

### Cite this

**Flux states for the infinite-U limit of the Hubbard model.** / Barnes, Stewart.

Research output: Contribution to journal › Article

*Physical Review B*, vol. 44, no. 2, pp. 801-804. https://doi.org/10.1103/PhysRevB.44.801

}

TY - JOUR

T1 - Flux states for the infinite-U limit of the Hubbard model

AU - Barnes, Stewart

PY - 1991

Y1 - 1991

N2 - For finite doping, relative to half filling, it is shown, within the confines of a mean-field auxiliary-operator formulation, for the strictly infinite-U, i.e., J=0, limit of the two-dimensional Hubbard model, that the spinons generate a fictitious magnetic flux to which holons are subject and vice versa. For small doping, a flux state is the absolute ground state and has 1-=2p/q, where p/q is a rational fraction and the flux per plaquette is =(p/q)0, where 0 is the flux quantum. This phenomenon can be viewed upon as an all-electron Peierls instability or as broken statistical symmetry.

AB - For finite doping, relative to half filling, it is shown, within the confines of a mean-field auxiliary-operator formulation, for the strictly infinite-U, i.e., J=0, limit of the two-dimensional Hubbard model, that the spinons generate a fictitious magnetic flux to which holons are subject and vice versa. For small doping, a flux state is the absolute ground state and has 1-=2p/q, where p/q is a rational fraction and the flux per plaquette is =(p/q)0, where 0 is the flux quantum. This phenomenon can be viewed upon as an all-electron Peierls instability or as broken statistical symmetry.

UR - http://www.scopus.com/inward/record.url?scp=35949008557&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=35949008557&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.44.801

DO - 10.1103/PhysRevB.44.801

M3 - Article

AN - SCOPUS:35949008557

VL - 44

SP - 801

EP - 804

JO - Physical Review B-Condensed Matter

JF - Physical Review B-Condensed Matter

SN - 1098-0121

IS - 2

ER -