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We discuss the phase diagram and the universal scaling functions of attractive Fermi gases at finite imbalance. The existence of a quantum multicritical point for the unitary gas at vanishing chemical potential $\mu$ and effective magnetic…

Quantum Gases · Physics 2018-11-09 Bernhard Frank , Johannes Lang , Wilhelm Zwerger

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

In this Rapid Communication, we investigate the universal properties of a spin-polarized two-component Fermi gas in one dimension (1D) using Bethe ansatz. We discuss the quantum phases and phase transitions by obtaining exact results for…

Quantum Gases · Physics 2016-10-12 Wen-Bin He , Yang-Yang Chen , Shizhong Zhang , Xi-Wen Guan

We have studied the exotic superfluid phases of degenerated Fermi gases with spin-orbit coupling in a mixed dimensional system, where the motion of atoms are free in the x-direction and the tunneling between nearest tubes in the y-direction…

Quantum Gases · Physics 2016-06-22 Jing Zhou , Cheng Shi , Xiang-Fa Zhou , Lin Wen , Peng Chen , Deng-Feng Li

Highly polarized mixtures of atomic Fermi gases constitute a novel Fermi liquid. We demonstrate how information on thermodynamic properties may be used to calculate quasiparticle scattering amplitudes even when the interaction is resonant…

Statistical Mechanics · Physics 2008-06-19 G. M. Bruun , A. Recati , C. J. Pethick , H. Smith , S. Stringari

We examine the nature of the transition to the antiferromagnetically ordered state in the half-filled three-dimensional Hubbard model using the dual-fermion multiscale approach. Consistent with analytics, in the weak-coupling regime we find…

Strongly Correlated Electrons · Physics 2015-10-14 Daniel Hirschmeier , Hartmut Hafermann , Emanuel Gull , Alexander I. Lichtenstein , Andrey E. Antipov

The two-component Fermi gas is the simplest fermion system displaying superfluidity, and as such finds applications ranging from the theory of superconductivity to QCD. Ultracold atomic gases provide an exceptionally clean realization of…

Other Condensed Matter · Physics 2015-06-25 M. M. Parish , F. M. Marchetti , A. Lamacraft , B. D. Simons

We consider non-zero temperature properties of the polarized two-component Fermi gas. We point out that stable polarized paired states which are more stable than their phase separated counterparts with unpolarized superfluid region can…

Statistical Mechanics · Physics 2009-11-11 Jani-Petri Martikainen

We describe the dimensional crossover in a noninteracting Fermi gas in an anisotropic trap, obtained by populating various transverse modes of the trap. We study the dynamical structure factor and drag force. Starting from a dimension $d$,…

Quantum Gases · Physics 2016-01-20 Guillaume Lang , Frank Hekking , Anna Minguzzi

Asymmetric two-leg Hubbard ladders with different on-site interactions $U_y$ and hoppings $t_y$ on each leg are investigated using the density matrix renormalization group method and exact diagonalizations. The pairing found in symmetric…

Strongly Correlated Electrons · Physics 2023-03-29 Anas Abdelwahab , Gökmen Polat , Eric Jeckelmann

Dynamical mean-field approximation with explicit pairing is utilized to study the properties of a two-component Fermi gas at unitarity. The problem is approximated by the lattice Hubbard Hamiltonian, and the continuum limit is realized by…

Statistical Mechanics · Physics 2009-11-13 Nir Barnea

We study a quasi two-dimensional superfluid Fermi gas where the confinement in the third direction is due to a strong harmonic trapping. We investigate the behavior of such a system when the chemical potential is varied and find strong…

Superconductivity · Physics 2009-11-11 J. -P. Martikainen , Paivi Torma

Models of interacting Majorana modes may be realized in vortex lattices in superconducting films in contact with topological insulators and may be tuned to the strong-interaction regime by adjusting the chemical potential. Extending the…

Strongly Correlated Electrons · Physics 2019-08-06 Armin Rahmani , Dmitry Pikulin , Ian Affleck

We theoretically investigate thermodynamic properties in a quasi-one-dimensional single-component dipolar Fermi gas at finite temperatures. The self-bound fermionic droplet can be achieved by exchange correlations with the long-range…

Quantum Gases · Physics 2025-12-11 Lanxuan Gao , Koki Takayama , Hiroyuki Tajima , Takahiro M. Doi , Haozhao Liang

We investigate the Hubbard Hamiltonian on ladders where the number of sites per rung alternates between two and three. These geometries are bipartite, with a non-equal number of sites on the two sublattices. Thus they share a key feature of…

Strongly Correlated Electrons · Physics 2021-05-05 Kaouther Essalah , Ali Benali , Anas Abdelwahab , Eric Jeckelmann , Richard T. Scalettar

We construct systematic expansions around four and two spatial dimensions for a Fermi gas near the unitarity limit. Near four spatial dimensions such a Fermi gas can be understood as a weakly-interacting system of fermionic and bosonic…

Other Condensed Matter · Physics 2008-08-25 Yusuke Nishida

We compute the phase diagram of strongly interacting fermions in one dimension at finite temperature, with mass and spin imbalance. By including the possibility of the existence of a spatially inhomogeneous ground state, we find regions…

Quantum Gases · Physics 2015-06-17 Dietrich Roscher , Jens Braun , Joaquín E. Drut

We study a two-dimensional Fermi gas with an attractive interaction subjected to synthetic magnetic fields assumed to be mutually antiparallel for two different spin components. By employing the mean-field approximation, we find that its…

Quantum Gases · Physics 2017-05-31 Takaaki Anzai , Yusuke Nishida

We consider a two-component gas of fermionic atoms confined to a quasi-two-dimensional (quasi-2D) geometry by a harmonic trapping potential in the transverse direction. We construct a mean field theory of the BCS-BEC crossover at zero…

Quantum Gases · Physics 2014-03-04 Andrea M. Fischer , Meera M. Parish

A large variety of materials can be approximately described by means of spin-1/2 Heisenberg ladders. Here, the Density Matrix Renormalization Group (DMRG) algorithm together with a previously established numerical self-consistent mean-field…

Strongly Correlated Electrons · Physics 2026-02-18 Mateo Cárdenes Wuttig , Andrew J. Millis