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This paper is devoted to the rigorous study of the low temperature properties of the two-dimensional weakly interacting Hubbard model on the honeycomb lattice in which the renormalized chemical potential $\mu$ has been fixed such that the…

Mathematical Physics · Physics 2023-08-02 Vincent Rivasseau , Zhituo Wang

We consider a layered system of fermionic molecules with permanent dipole moments aligned by an external field. The dipole interactions between fermions in adjacent layers are attractive and induce inter-layer pairing. Due to competition…

Quantum Gases · Physics 2010-11-30 Andrew C. Potter , Erez Berg , Daw-Wei Wang , Bertrand I. Halperin , Eugene Demler

We present an efficient diagrammatic method to describe nonlocal correlation effects in lattice fermion Hubbard-like models, which is based on a change of variables in the Grassmann path integrals. The new fermions are dual to the original…

Strongly Correlated Electrons · Physics 2009-11-13 A. N. Rubtsov , M. I. Katsnelson , A. I. Lichtenstein , A. Georges

We present numerical evidence for a paradigm in one-dimensional interacting fermion systems, whose phenomenology has traits of both Luttinger liquids and Fermi liquids. This state, dubbed a quasi-Fermi liquid, possesses a discontinuity in…

Strongly Correlated Electrons · Physics 2024-02-05 Joshua D. Baktay , Alexander V. Rozhkov , Adrian E. Feiguin , Julian Rincon

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 use unbiased numerical methods to study the onset of pair superfluidity in a system that displays flat bands in the noninteracting regime. This is achieved by using a known example of flat band systems, namely the Creutz lattice, where…

Strongly Correlated Electrons · Physics 2018-10-29 Rubem Mondaini , G. George Batrouni , Benoît Grémaud

In the two-dimensional Kondo-Heisenberg lattice model away from half-filled, the local antiferromagnetic exchange coupling can provide the pairing mechanism of quasiparticles via the Kondo screening effect, leading to the heavy fermion…

Superconductivity · Physics 2016-02-16 Yu Liu , Guang-Ming Zhang , Lu Yu

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 many-body phase diagrams of atomic boson-fermion mixtures loaded in the two-dimensional optical lattice. Bosons mediate an attractive, finite-range interaction between fermions, leading to fermion pairing phases of different…

Superconductivity · Physics 2007-05-23 D. -W. Wang , M. D. Lukin , E. Demler

We develop a theory of weakly interacting fermionic atoms in shaken optical lattices based on the orbital mixing in the presence of time-periodic modulations. Specifically, we focus on fermionic atoms in circularly shaken square lattice…

Quantum Gases · Physics 2017-06-27 Ahmet Keles , Erhai Zhao , W. Vincent Liu

We construct a lattice theory describing a system of interacting nonrelativistic spin s=1/2 fermions at nonzero chemical potential. The theory is applicable whenever the interparticle separation is large compared to the range of the…

High Energy Physics - Lattice · Physics 2009-11-10 Jiunn-Wei Chen , David B. Kaplan

We investigate a spinless Fermi gas trapped in a honeycomb optical lattice with attractive nearest-neighbor interactions. At zero temperature, mean-field theory predicts three quantum phase transitions, two being topological. At low…

Quantum Gases · Physics 2015-05-19 Dario Poletti , Christian Miniatura , Benoit Gremaud

We present a class of one-dimensional generic spinless fermion lattice Hamiltonians that express quasi-Fermi liquid physics, manifesting both Luttinger and Fermi liquid features due to solely irrelevant interactions. Using infinite matrix…

Strongly Correlated Electrons · Physics 2025-10-28 Joshua D. Baktay , Adrian E. Feiguin , Julian Rincon

We investigate phases of spinless fermions on the honeycomb lattice with nearest neighbor interaction in the Hofstadter regime. The interaction induces incompressible nematic and ferri-electric phases with broken translation symmetry. Some…

Strongly Correlated Electrons · Physics 2016-03-31 Archana Mishra , S. R. Hassan , R. Shankar

We study superfluid properties of fermions on a 2D lattice using a finite-range pairing interaction derivable from an extended Hubbard model. We obtain signatures of unconventional pair-symmetry states, $d_{x^2-y^2}$ and extended-s ($s^*$),…

Superconductivity · Physics 2007-10-02 Dusan Volcko , Khandker F. Quader

Motivated by ongoing interest in the universal behaviour of the Hubbard model of spinning electrons on honeycomb and $\pi$-flux lattices at the semi-metal -- Mott insulator phase transition, we formulate the \threeD~chiral Heisenberg model,…

High Energy Physics - Lattice · Physics 2026-04-01 Simon Hands , Johann Ostmeyer

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

We study superfluidity of strongly repulsive fermionic atoms in optical lattices. The atoms are paired up through a correlated tunneling mechanism, which induces superfluidity when repulsive nearest-neighbor interactions are included in the…

Quantum Gases · Physics 2011-12-26 Shi-Jie Yang , Shiping Feng

By using a well established 'ab initio' theoretical approach developed in the past to quantitatively study the superconductivity of condensed matter systems, which is based on the Kohn-Sham Density Functional theory, I study the superfluid…

Quantum Gases · Physics 2016-06-01 Francesco Ancilotto

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