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We consider atomic Bose-Fermi mixtures in optical lattices and study the superfluidity of fermionic atoms due to s-wave pairing induced by boson-fermion interactions. We prove that the induced fermion-fermion coupling is always {\it…

Condensed Matter · Physics 2007-05-23 F. Illuminati , A. Albus

We study the conditions under which, using a canonical transformation, the phases sought after for the repulsive Hubbard model, namely a Mott insulator in the paramagnetic and anti-ferromagnetic phases, and a putative d-wave superfluid can…

Strongly Correlated Electrons · Physics 2009-11-13 A. F. Ho , M. A. Cazalilla , T. Giamarchi

A major challenge in realizing antiferromagnetic (AF) and superfluid phases in optical lattices is the ability to cool fermions. We determine the equation of state for the 3D repulsive Fermi-Hubbard model as a function of the chemical…

Quantum Gases · Physics 2015-05-28 Thereza Paiva , Yen Lee Loh , Mohit Randeria , Richard T. Scalettar , Nandini Trivedi

We investigate the effects of attractive Hubbard interaction on two-component fermionic atoms in narrow two-dimensional (2D) energy bands that exhibit Rashba spin-orbit coupling (SOC) in the presence of an applied Zeeman field. This…

Quantum Gases · Physics 2024-08-30 T. D. Stanescu , Sumanta Tewari , V. W. Scarola

The two dimensional square lattice hard-core boson Hubbard model with near neighbor interactions has a `checkerboard' charge density wave insulating phase at half-filling and sufficiently large intersite repulsion. When doped, rather than…

Strongly Correlated Electrons · Physics 2013-06-05 T. Ying , G. G. Batrouni , V. G. Rousseau , M. Jarrell , J. Moreno , X. D. Sun , R. T. Scalettar

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

If two species of ultracold atoms are loaded in a sufficiently tight optical lattice at a commensurate total filling factor, the net number-of-atoms transport is suppressed by the Mott-Hubbard localization. Nonetheless, the counterflow…

Soft Condensed Matter · Physics 2015-03-10 A. B. Kuklov , B. V. Svistunov

We discuss the emergence of p-wave superfluidity of identical atomic fermions in a two-dimensional optical lattice. The optical lattice potential manifests itself in an interplay between an increase in the density of states on the Fermi…

Quantum Gases · Physics 2017-04-20 A. K. Fedorov , V. I. Yudson , G. V. Shlyapnikov

We consider fermions on a 2D lattice interacting repulsively on the same site and attractively on the nearest neighbor sites. The model is relevant, for instance, to study the competition between antiferromagnetism and superconductivity in…

Superconductivity · Physics 2009-11-07 F. Pistolesi , Ph. Nozieres

A realization of heavy fermion state is investigated on the basis of two-band Hubbard model. By means of the slave-boson mean-field approximation, it is shown that for the intermediate electron density, n_e=1.5, the inter-band Coulomb…

Strongly Correlated Electrons · Physics 2009-10-31 H. Kusunose , S. Yotsuhashi , K. Miyake

The signature of superfluidity in bosonic systems is a sound wave-like spectrum of the single particle excitations which in the case of strong interactions is roughly temperature independent. In fermionic systems, where fermion pairing…

Superconductivity · Physics 2009-11-10 T. Domanski , J. Ranninger

We study the stability of the paired fermionic p-wave superfluid made out of identical atoms all in the same hyperfine state close to a p-wave Feshbach resonance. First we reproduce known results concerning the lifetime of a 3D superfluid,…

Superconductivity · Physics 2008-12-22 J. Levinsen , N. R. Cooper , V. Gurarie

Attractive interaction between spinless fermions in a two-dimensional lattice drives the formation of a topological superfluid. But the topological phase is dynamically unstable towards phase separation when the system has a high density of…

Quantum Gases · Physics 2021-10-04 Junhua Zhang , Sumanta Tewari , V. W. Scarola

We study the ground-state properties of spin-1/2 fermionic atoms confined in a one-dimensional optical superlattice with harmonic confinement by using the density matrix renormalization group method. For this purpose, we consider an ionic…

Statistical Mechanics · Physics 2015-06-25 Takanori Yamashita , Norio Kawakami , Makoto Yamashita

We present theoretical calculations of collective modes of the one-band attractive Hubbard model which is widely used to study the s-wave superfluid phases of atomic Fermi gases of two-hyperfine states loaded in a deep optical lattice. To…

Strongly Correlated Electrons · Physics 2013-06-25 Zlatko Koinov

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 derive the low-energy effective action for three-dimensional superfluid Fermi systems in the strong-coupling limit, where superfluidity originates from Bose-Einstein condensation of composite bosons. Taking into account density and…

Superconductivity · Physics 2007-05-23 N. Dupuis

Using a recently developed renormalization group method for fermionic superfluids, we determine conditions for d-wave superconductivity in the two-dimensional Hubbard model at moderate interaction strength, and we compute the pairing gap in…

Strongly Correlated Electrons · Physics 2014-01-21 Andreas Eberlein , Walter Metzner

We review a recent experiment with ultracold atoms in 3D optical lattices where we have observed a novel kind of bound state of two atoms which is based on repulsive interactions between the particles. These repulsively bound pairs exhibit…

Other Condensed Matter · Physics 2007-05-23 J. Hecker Denschlag , A. J. Daley

We study the attractive Hubbard model with mass imbalance to clarify low temperature properties of the fermionic mixtures in the optical lattice. By combining dynamical mean-field theory with the continuous-time quantum Monte Carlo…

Strongly Correlated Electrons · Physics 2012-05-07 Nayuta Takemori , Akihisa Koga