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The one-dimensional (1D) Hubbard model, describing electrons on a lattice with an on-site repulsive interaction, provides a paradigm for the physics of quantum many-body phenomena. Here by solving the thermodynamic Bethe ansatz equations we…

Strongly Correlated Electrons · Physics 2018-04-04 Song Cheng , Yi-Song Yu , Murray T Batchelor , Xi-Wen Guan

We study the long-distance asymptotic behavior of various correlation functions for the one-dimensional (1D) attractive Hubbard model in a partially polarized phase through the Bethe ansatz and conformal field theory approaches. We…

Strongly Correlated Electrons · Physics 2018-04-04 Song Cheng , Yu-Zhu Jiang , Yi-Cong Yu , Murray T. Batchelor , Xi-Wen Guan

We explore the pairing properties of the one-dimensional attractive Hubbard model in the presence of finite spin polarization. The correlation exponents for the most important fluctuations are determined as a function of the density and the…

Strongly Correlated Electrons · Physics 2008-08-06 Andreas Luscher , Reinhard M. Noack , Andreas Laeuchli

The mechanism of fermionic pairing is the key to understanding various phenomena such as high-temperature superconductivity and the pseudogap phase in cuprate materials. We study the pair correlations in the attractive Hubbard model using…

Quantum Gases · Physics 2020-05-20 C. F. Chan , M. Gall , N. Wurz , M. Köhl

Spin-polarized attractive Fermi gases in one-dimensional (1D) optical lattices are expected to be remarkably good candidates for the observation of the Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) phase. We model these systems with an attractive…

Strongly Correlated Electrons · Physics 2008-06-05 M. Rizzi , Marco Polini , M. A. Cazalilla , M. R. Bakhtiari , M. P. Tosi , Rosario Fazio

We present a detailed study of the population imbalanced three-component Hubbard chain with attractive interactions. Such a system can be realized experimentally with three different hyperfine states of ultra cold $^6$Li atoms in an optical…

Quantum Gases · Physics 2009-06-05 Andreas Luscher , Andreas Laeuchli

We study the interplay between the long- and short-range interaction of a one-dimensional optical lattice system of two-component dipolar fermions by using the density matrix renormalization group method. The atomic density profile,…

Quantum Gases · Physics 2018-08-29 Xingbo Wei , Chao Gao , Reza Asgari , Pei Wang , Gao Xianlong

Experiments on polarized fermion gases performed by trapping ultracold atoms in optical lattices, allow the study of an attractive Hubbard model for which the strength of the on site interaction is tuned by means of a Feshbach resonance.…

Strongly Correlated Electrons · Physics 2009-11-13 Adriana Moreo , D. J. Scalapino

We propose and analyze a variational wave function for a population-imbalanced one-dimensional Fermi gas that allows for Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) type pairing correlations among the two fermion species, while also accounting…

Quantum Gases · Physics 2017-07-05 Kelly R. Patton , Dominique M. Gautreau , Stephen Kudla , Daniel E. Sheehy

Pair density waves and exotic superconductivity have long been of strong interest, and have attracted much recent attention. We present a joint theoretical and experimental exploration of possible signatures of fermion pairing with finite…

Interfacing unbiased quantum Monte Carlo simulations with state-of-art analytic continuation techniques, we obtain exact numerical results for dynamical density and spin correlations in the attractive Hubbard model, describing a…

Quantum Gases · Physics 2020-12-07 Ettore Vitali , Patrick Kelly , Annette Lopez , Gianluca Bertaina , Davide Emilio Galli

The presence of attractive interaction between fermions can lead to pairing and superfluidity in an optical lattice. The temperature needed to observe superfluidity is about a tenth of the tunneling energy in the optical lattice, and…

Quantum Gases · Physics 2011-04-27 Viveka Nand Singh , Sanjoy Datta , Pinaki Majumdar

We study the effect of high population imbalance in the two dimensional attractive Hubbard model, in the coupling regime corresponding to BCS-BEC crossover, and focus on thermal effects on the Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) state.…

Superconductivity · Physics 2016-05-26 Madhuparna Karmakar , Pinaki Majumdar

In this paper we address the behavior of the superfluid transition temperature $T_c$ in the attractive Hubbard model. We study systematically the effects of pairing fluctuations and address all filling fractions over the entire range of…

Other Condensed Matter · Physics 2011-09-13 Chih-Chun Chien , Qijin Chen , K. Levin

Based on the standard many-fermion field theory, the authors construct models describing ultracold fermions in a 1D optical lattices by implementing a mode expansion of the fermionic field operator where modes, in addition to space…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Francesco Massel , Vittorio Penna

The attractive Fermi-Hubbard model is the simplest theoretical model for studying pairing and superconductivity of fermions on a lattice. Although its s-wave pairing symmetry excludes it as a microscopic model for high-temperature…

Pairing of fermions lies at the heart of superconductivity, the hierarchy of nuclear binding energies and superfluidity of neutron stars. The Hubbard model of attractively interacting fermions provides a paradigmatic setting for fermion…

Quantum Gases · Physics 2023-07-14 Thomas Hartke , Botond Oreg , Carter Turnbaugh , Ningyuan Jia , Martin Zwierlein

We investigate the attractive Hubbard model in infinite spatial dimensions by combining dynamical mean-field theory with a strong-coupling continuous-time quantum Monte Carlo method. By calculating the superfluid order parameter and the…

Quantum Gases · Physics 2011-09-30 Akihisa Koga , Philipp Werner

One of the major challenges in realizing antiferromagnetic and superfluid phases in optical lattices is the ability to cool fermions. We determine constraints on the entropy for observing these phases in two-dimensional Hubbard models. We…

Quantum Gases · Physics 2015-05-13 Thereza Paiva , Richard Scalettar , Mohit Randeria , Nandini Trivedi

The temporal finite volume induces significant effects in Monte Carlo simulations of systems in low dimensions, such as graphene, a 2-D hexagonal system known for its unique electronic properties and numerous potential applications. In this…

Strongly Correlated Electrons · Physics 2024-11-07 Lado Razmadze , Thomas Luu
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