Loop Current and Antiferromagnetic States in Fermionic Hubbard Model with Staggered Flux at Half Filling

Yuta Toga; Hisatoshi Yokoyama

doi:10.1016/j.phpro.2016.04.007

Loop Current and Antiferromagnetic States in Fermionic Hubbard Model with Staggered Flux at Half Filling

Yuta Toga, Hisatoshi Yokoyama

SCI - Physics

National Institute for Materials Science Tsukuba

Research output: Contribution to journal › Conference article › peer-review

3 Citations (Scopus)

Abstract

Anticipating realization of interacting fermions in an optical lattice with a large gauge field, we consider phase transitions and loop currents in a two-dimensional S = 1/2 fermionic-Hubbard model with π/2-staggered flux at half filling. We use a variational Monte Carlo method, which is reliable even for strong correlations. As a trial wave function, a coexistent state of antifferomagnetic and staggered-flux orders is studied. In a strongly correlated regime, the ground state becomes an insulating coexistent state with loop currents. By comparing fermions with bosons, we discuss an important role of Pauli principle.

Original language	English
Pages (from-to)	13-16
Number of pages	4
Journal	Physics Procedia
Volume	81
DOIs	https://doi.org/10.1016/j.phpro.2016.04.007
Publication status	Published - 2016
Event	28th International Symposium on Superconductivity, ISS 2015 - Tokyo, Japan Duration: 2015 Nov 16 → 2015 Nov 18

Keywords

Hubbard model
Mott transition
artificial magnetic filed
cold atom
loop current
optical lattice
staggered flux
variational Monte Carlo method

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10.1016/j.phpro.2016.04.007

Cite this

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title = "Loop Current and Antiferromagnetic States in Fermionic Hubbard Model with Staggered Flux at Half Filling",

abstract = "Anticipating realization of interacting fermions in an optical lattice with a large gauge field, we consider phase transitions and loop currents in a two-dimensional S = 1/2 fermionic-Hubbard model with π/2-staggered flux at half filling. We use a variational Monte Carlo method, which is reliable even for strong correlations. As a trial wave function, a coexistent state of antifferomagnetic and staggered-flux orders is studied. In a strongly correlated regime, the ground state becomes an insulating coexistent state with loop currents. By comparing fermions with bosons, we discuss an important role of Pauli principle.",

keywords = "Hubbard model, Mott transition, artificial magnetic filed, cold atom, loop current, optical lattice, staggered flux, variational Monte Carlo method",

author = "Yuta Toga and Hisatoshi Yokoyama",

note = "Funding Information: Acknowledgements: A part of the numerical computations was carried out at the Cyber-science Center, Tohoku University. This work is partly supported by JSPS KAKENHI Grant Number 25287104. Publisher Copyright: {\textcopyright} 2016 The Authors.; 28th International Symposium on Superconductivity, ISS 2015 ; Conference date: 16-11-2015 Through 18-11-2015",

year = "2016",

doi = "10.1016/j.phpro.2016.04.007",

language = "English",

volume = "81",

pages = "13--16",

journal = "Physics Procedia",

issn = "1875-3884",

publisher = "Elsevier BV",

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TY - JOUR

T1 - Loop Current and Antiferromagnetic States in Fermionic Hubbard Model with Staggered Flux at Half Filling

AU - Toga, Yuta

AU - Yokoyama, Hisatoshi

N1 - Funding Information: Acknowledgements: A part of the numerical computations was carried out at the Cyber-science Center, Tohoku University. This work is partly supported by JSPS KAKENHI Grant Number 25287104. Publisher Copyright: © 2016 The Authors.

PY - 2016

Y1 - 2016

N2 - Anticipating realization of interacting fermions in an optical lattice with a large gauge field, we consider phase transitions and loop currents in a two-dimensional S = 1/2 fermionic-Hubbard model with π/2-staggered flux at half filling. We use a variational Monte Carlo method, which is reliable even for strong correlations. As a trial wave function, a coexistent state of antifferomagnetic and staggered-flux orders is studied. In a strongly correlated regime, the ground state becomes an insulating coexistent state with loop currents. By comparing fermions with bosons, we discuss an important role of Pauli principle.

AB - Anticipating realization of interacting fermions in an optical lattice with a large gauge field, we consider phase transitions and loop currents in a two-dimensional S = 1/2 fermionic-Hubbard model with π/2-staggered flux at half filling. We use a variational Monte Carlo method, which is reliable even for strong correlations. As a trial wave function, a coexistent state of antifferomagnetic and staggered-flux orders is studied. In a strongly correlated regime, the ground state becomes an insulating coexistent state with loop currents. By comparing fermions with bosons, we discuss an important role of Pauli principle.

KW - Hubbard model

KW - Mott transition

KW - artificial magnetic filed

KW - cold atom

KW - loop current

KW - optical lattice

KW - staggered flux

KW - variational Monte Carlo method

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U2 - 10.1016/j.phpro.2016.04.007

DO - 10.1016/j.phpro.2016.04.007

M3 - Conference article

AN - SCOPUS:84994613629

SN - 1875-3884

VL - 81

SP - 13

EP - 16

JO - Physics Procedia

JF - Physics Procedia

T2 - 28th International Symposium on Superconductivity, ISS 2015

Y2 - 16 November 2015 through 18 November 2015

ER -

Loop Current and Antiferromagnetic States in Fermionic Hubbard Model with Staggered Flux at Half Filling

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Keywords

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