### Abstract

To the Hubbard model on a square lattice we add an interaction (Formula presented) that depends upon the square of a near-neighbor hopping. We use zero-temperature quantum Monte Carlo simulations on lattice sizes up to (Formula presented) to show that at half-filling and constant value of the Hubbard repulsion, the interaction (Formula presented) triggers a quantum transition between an antiferromagnetic Mott insulator and a (Formula presented) superconductor. With a combination of finite-temperature quantum Monte Carlo simulations and the maximum entropy method, we study spin and charge degrees of freedom in the superconducting state. We give numerical evidence for the occurrence of a finite-temperature Kosterlitz-Thouless transition to the (Formula presented) superconducting state. Above and below the Kosterlitz-Thouless transition temperature, (Formula presented) we compute the one-electron density of states (Formula presented) the spin relaxation rate (Formula presented) as well as the imaginary and real part of the spin susceptibility (Formula presented) The spin dynamics are characterized by the vanishing of (Formula presented) and divergence of (Formula presented) in the low-temperature limit. As (Formula presented) is approached (Formula presented) develops a pseudogap feature and below (Formula presented) shows a peak at finite frequency.

Original language | English |
---|---|

Pages (from-to) | 15001-15014 |

Number of pages | 14 |

Journal | Physical Review B - Condensed Matter and Materials Physics |

Volume | 56 |

Issue number | 23 |

DOIs | |

Publication status | Published - 1997 Jan 1 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics

### Cite this

**Charge and spin structures of a superconductor in the proximity of an antiferromagnetic Mott insulator.** / Assaad, F.; Imada, Masatoshi.

Research output: Contribution to journal › Article

*Physical Review B - Condensed Matter and Materials Physics*, vol. 56, no. 23, pp. 15001-15014. https://doi.org/10.1103/PhysRevB.56.15001

}

TY - JOUR

T1 - Charge and spin structures of a superconductor in the proximity of an antiferromagnetic Mott insulator

AU - Assaad, F.

AU - Imada, Masatoshi

PY - 1997/1/1

Y1 - 1997/1/1

N2 - To the Hubbard model on a square lattice we add an interaction (Formula presented) that depends upon the square of a near-neighbor hopping. We use zero-temperature quantum Monte Carlo simulations on lattice sizes up to (Formula presented) to show that at half-filling and constant value of the Hubbard repulsion, the interaction (Formula presented) triggers a quantum transition between an antiferromagnetic Mott insulator and a (Formula presented) superconductor. With a combination of finite-temperature quantum Monte Carlo simulations and the maximum entropy method, we study spin and charge degrees of freedom in the superconducting state. We give numerical evidence for the occurrence of a finite-temperature Kosterlitz-Thouless transition to the (Formula presented) superconducting state. Above and below the Kosterlitz-Thouless transition temperature, (Formula presented) we compute the one-electron density of states (Formula presented) the spin relaxation rate (Formula presented) as well as the imaginary and real part of the spin susceptibility (Formula presented) The spin dynamics are characterized by the vanishing of (Formula presented) and divergence of (Formula presented) in the low-temperature limit. As (Formula presented) is approached (Formula presented) develops a pseudogap feature and below (Formula presented) shows a peak at finite frequency.

AB - To the Hubbard model on a square lattice we add an interaction (Formula presented) that depends upon the square of a near-neighbor hopping. We use zero-temperature quantum Monte Carlo simulations on lattice sizes up to (Formula presented) to show that at half-filling and constant value of the Hubbard repulsion, the interaction (Formula presented) triggers a quantum transition between an antiferromagnetic Mott insulator and a (Formula presented) superconductor. With a combination of finite-temperature quantum Monte Carlo simulations and the maximum entropy method, we study spin and charge degrees of freedom in the superconducting state. We give numerical evidence for the occurrence of a finite-temperature Kosterlitz-Thouless transition to the (Formula presented) superconducting state. Above and below the Kosterlitz-Thouless transition temperature, (Formula presented) we compute the one-electron density of states (Formula presented) the spin relaxation rate (Formula presented) as well as the imaginary and real part of the spin susceptibility (Formula presented) The spin dynamics are characterized by the vanishing of (Formula presented) and divergence of (Formula presented) in the low-temperature limit. As (Formula presented) is approached (Formula presented) develops a pseudogap feature and below (Formula presented) shows a peak at finite frequency.

UR - http://www.scopus.com/inward/record.url?scp=0001611134&partnerID=8YFLogxK

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U2 - 10.1103/PhysRevB.56.15001

DO - 10.1103/PhysRevB.56.15001

M3 - Article

AN - SCOPUS:0001611134

VL - 56

SP - 15001

EP - 15014

JO - Physical Review B-Condensed Matter

JF - Physical Review B-Condensed Matter

SN - 0163-1829

IS - 23

ER -