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A multi-component lattice Boltzmann model recently introduced (R. Benzi et al. Phys. Rev. Lett 102, 026002 (2009)) to describe some dynamical behaviors of soft-flowing materials is theoretically analyzed. Equilibrium and transport…

Soft Condensed Matter · Physics 2015-05-13 R. Benzi , M. Sbragaglia , S. Succi , M. Bernaschi , S. Chibbaro

We investigate the non-Hermitian (NH) attractive Fermi-Hubbard model with asymmetric hopping and complex-valued interactions, which can be realized by collective one-body loss and two-body loss. By means of the NH BCS theory, we find that…

Quantum Gases · Physics 2024-11-27 Soma Takemori , Kazuki Yamamoto , Akihisa Koga

We study superconductivity in an ultracold Bose-Fermi mixture loaded into a square optical lattice subjected to a staggered flux. While the bosons form a superfluid at very low temperature and weak interaction, the interacting fermions…

Quantum Gases · Physics 2010-07-15 Lih-King Lim , Achilleas Lazarides , Andreas Hemmerich , C. Morais Smith

Currently, there is much interest in discovering analytically tractable (3+1)-dimensional models that describe interacting fermions with emerging topological properties. Towards that end we present a three-dimensional tight-binding model of…

Strongly Correlated Electrons · Physics 2014-08-20 Mauro Cirio , Giandomenico Palumbo , Jiannis K. Pachos

Ultracold atoms in optical lattice provides a platform to realize the superfluid (SF) state, a quantum order with paired charge-neutral fermions. In this paper, we studied SF state in the twodimensional attractive Hubbard model with pi-flux…

Strongly Correlated Electrons · Physics 2015-06-18 Ya-Jie Wu , Jiang Zhou , Su-Peng Kou

We study phases and transitions of the square-lattice double dimer model, consisting of two coupled replicas of the classical dimer model. As on the cubic lattice, we find a thermal phase transition from the Coulomb phase, a disordered but…

Statistical Mechanics · Physics 2020-11-23 Neil Wilkins , Stephen Powell

We address ourselves to a class of systems composed of two coupled subsystems without any intra-subsystem interaction: itinerant Fermions and localized Bosons on a lattice. Switching on an interaction between the two subsystems leads to…

Superconductivity · Physics 2009-10-31 T. Domanski , J. Ranninger

We describe interacting mixtures of ultracold bosonic and fermionic atoms in harmonically confined optical lattices. For a suitable choice of parameters we study the emergence of superfluid and Fermi liquid (non-insulating) regions out of…

Other Condensed Matter · Physics 2013-05-29 Kaushik Mitra , C. J. Williams , C. A. R. Sá de Melo

The effects of gauge interactions in graphene have been analyzed up to now in terms of effective models of Dirac fermions. However, in several cases lattice effects play an important role and need to be taken consistently into account. In…

Strongly Correlated Electrons · Physics 2012-09-19 Alessandro Giuliani , Vieri Mastropietro , Marcello Porta

The fermionic Hubbard model (FHM)[1], despite its simple form, captures essential features of strongly correlated electron physics. Ultracold fermions in optical lattices[2, 3] provide a clean and well-controlled platform for simulating…

The attractive Fermi-Hubbard model stands out as a simple model for studying the pairing and superconductivity of fermions on a lattice. In this article, we apply several many-body theories in the three-dimensional attractive Hubbard model.…

Strongly Correlated Electrons · Physics 2025-02-18 Junnian Xiong , Hui Li , Yingze Su , Dingping Li

Spin-imbalanced ultracold Fermi gases have been widely studied recently as a platform for exploring the long-sought Fulde-Ferrell-Larkin-Ovchinnikov superfluid phases, but so far conclusive evidence has not been found. Here we propose to…

Quantum Gases · Physics 2016-03-31 Zhen Zheng , Chunlei Qu , Xubo Zou , Chuanwei Zhang

In this chapter we review recent experimental and theoretical work on various novel superfluid phases in fermion systems, that result from pairing fermions of different species with unequal densities. After briefly reviewing existing…

Superconductivity · Physics 2016-11-09 Kun Yang

We provide a quantitative and controlled analysis of the phase diagram of the the Yukawa-SYK model on a lattice, in the normal and superconducting states. We analyze the entire crossover from BCS/weak-coupling to Eliashberg/strong coupling…

Superconductivity · Physics 2023-08-01 Davide Valentinis , Gian Andrea Inkof , Jörg Schmalian

We show that the Hubbard Hamiltonian with particle-assisted tunneling rates --recently proposed to model a fermionic mixture near a broad Feshbach resonance-- displays a ground state phase diagram with superfluid, insulating, and phase…

Quantum Physics · Physics 2009-10-08 Alberto Anfossi , Luca Barbiero , Arianna Montorsi

We consider fermionic polar molecules in a bilayer geometry where they are oriented perpendicularly to the layers, which permits both low inelastic losses and superfluid pairing. The dipole-dipole interaction between molecules of different…

Quantum Gases · Physics 2010-11-29 A. Pikovski , M. Klawunn , G. V. Shlyapnikov , L. Santos

We present and analyze an exactly solvable interacting fermionic pairing model, which features interactions that entangle states at momenta $\mathbf{k}$ and $-\mathbf{k}$. These interactions give rise to novel correlated ground states,…

Strongly Correlated Electrons · Physics 2026-01-23 Santhosh M , Jorge Dukelsky , Gerardo Ortiz

In order to study whether the inter-band nesting can favor superconductivity arising from electron-electron repulsion in a three-dimensional system, we have looked at the repulsive Hubbard model on a stack of honeycomb (i.e., non-Bravais)…

Superconductivity · Physics 2009-11-07 Seiichiro Onari , Kazuhiko Kuroki , Ryotaro Arita , Hideo Aoki

We present a generalized quasi-particle theory for bosonic lattice systems, which naturally contains all relevant collective modes, including the Higgs amplitude in the strongly correlated superfluid. In contrast to Bogoliubov theory, this…

Quantum Gases · Physics 2014-01-21 Ulf Bissbort , Michael Buchhold , Walter Hofstetter

The phenomenon of the so called Fermion condensation, a phase transition analogous to Bose condensation but for Fermions, postulated in the past to occur in systems with strong momentum dependent forces, is reanalysed in a model with…

Condensed Matter · Physics 2009-10-28 J. Dukelsky , V. A. Khodel , P. Schuck , V. R. Shaginyan
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