We study the effects of disorder on an $s$-wave superfluid in the attractive Hubbard model using statistical dynamical mean-field theory, which enables us to treat both the correlation effects and the spatial nonuniformity due to disorder in the same framework. The distribution functions of the local density of states and the superfluid order parameter are obtained. From the geometrical average of these quantities, which characterizes the order parameters in disordered systems, we determine the ground-state phase diagram of the attractive Hubbard model with disorder at half-filling and zero temperature. We discuss the superfluid-localization transition and the crossover behavior within the localized phase.

Journal of the Physical Society of JapanJun 19, 20133 citations

Bulletin of the American Physical Society

Progress towards localization in the attractive Hubbard model

William Morong, Wenchao Xu, Brian DeMarco

Published Jun 7, 2017• 0 citations

OpenAlex

Related papers

Progress Towards Spectroscopy of Pairs in the Attractive Fermi-Hubbard Model

Wenchao Xu, William Morong, Brian DeMarco

Bulletin of the American Physical SocietyJun 6, 20170 citations

Specific heat of a non-local attractive Hubbard model

E.J. Calegari, Cesar Lobo, S. G. Magalhães +2 more

arXiv:1305.3210Physics Letters AApr 27, 20131 citation

Coexistence of Diagonal and Off-Diagonal Long-Range Orders in Fermion Systems

Yasutaka Nagaoka

Journal of the Physical Society of Japan 65 (1996) pp. 1930-1933 Reflection Positivity in Spin Space for the Heisenberg Model, the Kondo Hamiltonian and the Kondo Lattice Takashi Yanagisawa Journal of the Physical Society of Japan 66 (1997) pp. 2075-2085 Bethe-Ansatz Analysis of the Extended AB Period in the One-Dimensional Hubbard Model Koichi Kusakabe Journal of the Physical Society of Japan 75 (2006) 114706 (18 pages) Mott Transitions and d-Wave Superconductivity in Half-Filled-Band Hubbard Model on Square Lattice with Geometric Frustration Hisatoshi Yokoyama, Masao Ogata and Yukio Tanaka Journal of the Physical Society of Japan 81 (2012) 064718 (14 pages) Variational Monte Carlo Study of Spin-Gapped Normal State and BCS–BEC Crossover in Two-Dimensional Attractive Hubbard Model Shun Tamura and Hisatoshi Yokoyama Progress of Theoretical Physics Vol. 53 No. 4 (1975) pp. 955-969 Possible Phases and Some Properties of the One-Dimensional Metal with the Half-Filled Band Minoru Kimura Progress of Theoretical Physics Vol. 54 No. 5 (1975) pp. 1289-1298 The Antiferromagnetic Ground State of a Half-Filled Hubbard Model Kenn Kubo and Mamoru Uchinami Progress of Theoretical Physics Vol. 108 No. 1 (2002) pp. 59-101 Variational Monte Carlo Studies of Attractive Hubbard Model. I Hisatoshi Yokoyama Progress of Theoretical Physics Supplement No.108 (1992) pp. 265-286 Properties of One-Dimensional Strongly Correlated Electrons Hiroyuki Shiba and Masao OgataJournal of the Physical Society of Japan 65 (1996) pp. 1930-1933 Reflection Positivity in Spin Space for the Heisenberg Model, the Kondo Hamiltonian and the Kondo Lattice Takashi Yanagisawa Journal of the Physical Society of Japan 66 (1997) pp. 2075-2085 Bethe-Ansatz Analysis of the Extended AB Period in the One-Dimensional Hubbard Model Koichi Kusakabe Journal of the Physical Society of Japan 75 (2006) 114706 (18 pages) Mott Transitions and d-Wave Superconductivity in Half-Filled-Band Hubbard Model on Square Lattice with Geometric Frustration Hisatoshi Yokoyama, Masao Ogata and Yukio Tanaka Journal of the Physical Society of Japan 81 (2012) 064718 (14 pages) Variational Monte Carlo Study of Spin-Gapped Normal State and BCS–BEC Crossover in Two-Dimensional Attractive Hubbard Model Shun Tamura and Hisatoshi Yokoyama Progress of Theoretical Physics Vol. 53 No. 4 (1975) pp. 955-969 Possible Phases and Some Properties of the One-Dimensional Metal with the Half-Filled Band Minoru Kimura Progress of Theoretical Physics Vol. 54 No. 5 (1975) pp. 1289-1298 The Antiferromagnetic Ground State of a Half-Filled Hubbard Model Kenn Kubo and Mamoru Uchinami Progress of Theoretical Physics Vol. 108 No. 1 (2002) pp. 59-101 Variational Monte Carlo Studies of Attractive Hubbard Model. I Hisatoshi Yokoyama Progress of Theoretical Physics Supplement No.108 (1992) pp. 265-286 Properties of One-Dimensional Strongly Correlated Electrons Hiroyuki Shiba and Masao Ogata

Progress of Theoretical PhysicsNov 1, 197444 citations

Attractive Hubbard model in the strong-coupling regime

T. Schneider, H. Beck, Dierk Bormann +3 more

Physica C SuperconductivityNov 1, 199315 citations

An investigation of the 2D attractive Hubbard model

R. Lacaze, A. Morel, Bengt Petersson +1 more

arXiv:cond-mat/9610193The European Physical Journal BMay 1, 19988 citations

Effects of Disorder on Superfluidity in the Attractive Hubbard Model

Masaru Sakaida, Kazuto Noda, Norio Kawakami

We study the effects of disorder on an $s$ -wave superfluid in the attractive Hubbard model using statistical dynamical mean-field theory, which enables us to treat both the correlation effects and the spatial nonuniformity due to disorder in the same framework. The distribution functions of the local density of states and the superfluid order parameter are obtained. From the geometrical average of these quantities, which characterizes the order parameters in disordered systems, we determine the ground-state phase diagram of the attractive Hubbard model with disorder at half-filling and zero temperature. We discuss the superfluid-localization transition and the crossover behavior within the localized phase.We study the effects of disorder on an $s$-wave superfluid in the attractive Hubbard model using statistical dynamical mean-field theory, which enables us to treat both the correlation effects and the spatial nonuniformity due to disorder in the same framework. The distribution functions of the local density of states and the superfluid order parameter are obtained. From the geometrical average of these quantities, which characterizes the order parameters in disordered systems, we determine the ground-state phase diagram of the attractive Hubbard model with disorder at half-filling and zero temperature. We discuss the superfluid-localization transition and the crossover behavior within the localized phase.

Journal of the Physical Society of JapanJun 19, 20133 citations

We study the effects of disorder on an

s

-wave superfluid in the attractive Hubbard model using statistical dynamical mean-field theory, which enables us to treat both the correlation effects and the spatial nonuniformity due to disorder in the same framework. The distribution functions of the local density of states and the superfluid order parameter are obtained. From the geometrical average of these quantities, which characterizes the order parameters in disordered systems, we determine the ground-state phase diagram of the attractive Hubbard model with disorder at half-filling and zero temperature. We discuss the superfluid-localization transition and the crossover behavior within the localized phase.