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A spin-imbalanced Fermi gas with an attractive contact interaction forms a superconducting state whose underlying components are superpositions of Cooper pairs that share minority-spin fermions. This superconducting state includes…

Superconductivity · Physics 2019-07-09 Darryl Foo , Thomas Whitehead , Gareth Conduit

We study s-wave pairing of population imbalanced Fermi atoms in quasi two dimensions using a mean field theory. At zero temperature, we map out the phase diagram in the entire Bardeen, Cooper and Schrieffer-Bose Einstein condensation…

Other Condensed Matter · Physics 2009-08-03 Theja N. De Silva

The few-fermion atomic gas is an ideal setting to explore inhomogeneous superfluid pairing analogous to the Larkin-Ovchinnikov state. Two up and one down-spin atom is the minimal configuration that displays an inhomogeneous pairing density…

Quantum Gases · Physics 2013-08-07 P. O. Bugnion , J. A. Lofthouse , G. J. Conduit

Pairing in a population imbalanced Fermi system in a two-dimensional optical lattice is studied using Determinant Quantum Monte Carlo (DQMC) simulations and mean-field calculations. The approximation-free numerical results show a wide range…

Quantum Gases · Physics 2015-06-05 M. J. Wolak , B. Grémaud , R. T. Scalettar , G. G. Batrouni

We study fermion pairing in a population-imbalanced mixture of $^{6}$Li atomic gas loaded in a three-dimensional lattice at very low temperatures. Using the number equation for each population, the gap equation and the equation for the…

Quantum Gases · Physics 2013-10-09 Rafael Mendoza , Mauricio Fortes , M. A. Solís , Zlatko Koinov

Based on the integrable Gaudin model and local density approximation, we discuss the phase structure of one-dimensional trapped Fermi gases with imbalanced spin populations for arbitrary attractive interactions. A phase separation state,…

Superconductivity · Physics 2007-05-23 Hui Hu , Xia-Ji Liu , Peter D. Drummond

We present a systematic study of quantum phases in a one-dimensional spin-polarized Fermi gas. Three comparative theoretical methods are used to explore the phase diagram at zero temperature: the mean-field theory with either an order…

Statistical Mechanics · Physics 2011-11-10 Xia-Ji Liu , Hui Hu , Peter D. Drummond

I attempt to give a pedagogical overview of the progress which has occurred during the past decade in the description of one-dimensional correlated fermions. Fermi liquid theory based on a quasi-particle picture, breaks down in one…

Condensed Matter · Physics 2009-10-28 Johannes Voit

In this Rapid Communication we show that low energy macroscopic properties of the one-dimensional (1D) attractive Hubbard model exhibit two fluids of bound pairs and of unpaired fermions. Using the thermodynamic Bethe ansatz equations of…

Strongly Correlated Electrons · Physics 2018-04-11 Song Cheng , Yi-Cong Yu , Murray T Batchelor , Xi-Wen Guan

In contrast to the well known Fermi liquid theory of three dimensions, interacting one-dimensional and quasi one-dimensional systems of fermions are described at low energy by an effective theory known as Luttinger liquid theory. This…

Mesoscale and Nanoscale Physics · Physics 2011-11-09 Gregory A. Fiete

We study spin imbalance effects on the Larkin-Ovchinikov-Fulde-Ferrel (LOFF) state relevant for superconductors under a strong magnetic field and spin polarized ultracold Fermi gas. We obtain the exact solution for the condensates with…

Superconductivity · Physics 2011-07-14 Ryosuke Yoshii , Shunji Tsuchiya , Giacomo Marmorini , Muneto Nitta

We theoretically investigate strong-coupling properties of an ultracold Fermi gas in the BCS-BEC crossover regime in the non-equilibrium steady state, being coupled with two fermion baths. By developing a non-equilibrium strong-coupling…

Quantum Gases · Physics 2020-01-09 Taira Kawamura , Ryo Hanai , Daichi Kagamihara , Daisuke Inotani , Yoji Ohashi

We present a simple scheme for implementing a one-dimensional (1D) magnetic-flux lattice of ultracold fermionic spin-$1/2$ atoms. The resulting tight-binding model supports gapped and gapless topological phases, and chiral currents for…

Quantum Gases · Physics 2017-11-02 Y. Deng , R. Lü , L. You

We discuss a detailed phase diagram and other microscopic characteristics on the applied magnetic field - temperature (H_a-T) plane for a simple model of correlated fluid represented by a two-dimensional (2D) gas of heavy quasiparticles…

Superconductivity · Physics 2011-09-09 Jan Kaczmarczyk , Jozef Spalek

A Zeeman magnetic field can induce a Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) phase in spin-singlet superconductors. Here we argue that there is a non-trivial solution for the FFLO vortex phase that exists near the upper critical field in…

Strongly Correlated Electrons · Physics 2007-12-13 D. F. Agterberg , Z. Zheng , S. Mukherjee

We study the superconducting properties of population-imbalanced ultracold Fermi mixtures in one-dimensional (1D) optical lattices that can be effectively described by the spin-imbalanced attractive Hubbard model (AHM) in the presence of a…

Quantum Gases · Physics 2017-03-16 Andrzej Ptok , Agnieszka Cichy , Karen Rodríguez , Konrad J. Kapcia

We study the phase diagram of an imbalanced two-component Fermi gas in optical lattices of 1-3 dimensions, considering the possibilities of the FFLO, Sarma/breached pair, BCS and normal states as well as phase separation, at finite and zero…

Superconductivity · Physics 2009-11-13 T. K. Koponen , T. Paananen , J. -P. Martikainen , M. R. Bakhtiari , P. Torma

Interacting fermions are ubiquitous in nature and understanding their thermodynamics is an important problem. We measure the equation of state of a two-component ultracold Fermi gas for a wide range of interaction strengths at low…

Quantum Gases · Physics 2010-06-03 Nir Navon , Sylvain Nascimbène , Frédéric Chevy , Christophe Salomon

We study two-species fermion gases with attractive interaction in two-dimensional optical lattices producing an array of elongated tube confinements. Focusing on the interplay of Cooper pairing, spin imbalance (or magnetization) and…

Quantum Gases · Physics 2012-06-01 Kuei Sun , C. J. Bolech

We consider pairing in a two-component atomic Fermi gas, in a three-dimensional optical lattice, when the components have unequal densities, i.e. the gas is polarized. We show that a superfluid where the translational symmetry is broken by…

Superconductivity · Physics 2007-05-23 T. Koponen , J. Kinnunen , J. -P. Martikainen , L. M. Jensen , P. Torma