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The behavior of ultracold atomic gases depends crucially on the two-body scattering properties of these systems. We develop a multichannel scattering theory for atom-atom collisions in quasi-one-dimensional (quasi-1D) geometries such as…

Condensed Matter · Physics 2009-11-10 Brian E. Granger , D. Blume

We propose a physical scheme for the realization of two-dimensional topological odd-parity superfluidity in a spin-independent bond-centered square optical lattice based upon interband fermion pairing. The D4 point-group symmetry of the…

Quantum Gases · Physics 2017-11-15 Zhi-Fang Xu , Andreas Hemmerich , W. Vincent Liu

The effect of interactions on topological insulators and superconductors remains, to a large extent, an open problem. Here, we describe a framework for classifying phases of one-dimensional interacting fermions, focusing on spinless…

Strongly Correlated Electrons · Physics 2012-03-20 Ari M. Turner , Frank Pollmann , Erez Berg

We investigate the effect exerted by spin-polarized fermions on the interaction between superfluid bosons for a Bose-Fermi mixture residing on an optical lattice, with particular emphasis on the possibility of an induced phase-separation.…

Quantum Gases · Physics 2015-05-13 Jacob Linder , Asle Sudbø

We study attractively interacting fermions on a square lattice with dispersion relations exhibiting strong spin-dependent anisotropy. The resulting Fermi surface mismatch suppresses the s-wave BCS-type instability, clearing the way for…

We investigate the stability of helical superfluid phase in a spin-orbit coupled Fermi gas loaded in a bilayer optical lattice. The phase diagram of the system is constructed in the mean field framework. We investigate the topological…

Quantum Gases · Physics 2015-06-12 Xiaosen Yang , Beibing Huang , Hai-Qing Lin

The occurrence of non-Abelian symmetry-locked states in ultracold fermionic mixtures with four components is investigated. We study the phase diagram in the presence of an attractive interaction between the species of two pairs of the…

Quantum Gases · Physics 2017-07-12 J. C. Pinto Barros , L. Lepori , A. Trombettoni

Using effective field theory approach we study a homogeneous superfluid state with a single (gapless) Fermi surface, recently suggested as a possible phase for an ultracold Fermi gas with spin-population imbalance. We find an unconventional…

Superconductivity · Physics 2007-11-05 Vladimir M. Stojanovic , W. Vincent Liu , Yong Baek Kim

Two-component fermionic superfluids on a lattice with an external non-Abelian gauge field give access to a variety of topological phases in presence of a sufficiently large spin imbalance. We address here the important issue of…

Superconductivity · Physics 2010-12-13 A. Kubasiak , P. Massignan , M. Lewenstein

We consider inter- and intra-species pairing interactions in an asymmetrical Fermi system. Using equation of motion method, we obtain coupled mean-field equations for superfluid gap functions and population densities. We construct a phase…

Superconductivity · Physics 2014-04-24 Renyuan Liao , Khandker F. Quader

We show that a simple one-dimensional model of spinless fermions with pair hopping displays a phase in which a Luttinger liquid of paired fermions coexists with a Luttinger liquid of unpaired fermions. Our results are based on extensive…

Strongly Correlated Electrons · Physics 2021-05-26 Lorenzo Gotta , Leonardo Mazza , Pascal Simon , Guillaume Roux

We study the stability region of the topological superfluid phase in a trapped two-dimensional polarized Fermi gas with spin-orbit coupling and across a BCS-BEC crossover. Due to the competition between polarization, pairing interaction and…

Quantum Gases · Physics 2015-03-19 J. Zhou , W. Zhang , W. Yi

We study a trapped two-dimensional spin-imbalanced Fermi gas over a range of temperatures. In the moderate temperature regime, associated with current experiments, we find reasonable semi-quantitative agreement with the measured density…

Quantum Gases · Physics 2016-09-09 Chien-Te Wu , Brandon M. Anderson , Rufus Boyack , K. Levin

We study the entanglement in various fully-gapped complex paired states of fermions in two dimensions, focusing on the entanglement spectrum (ES), and using the BCS form of the ground state wavefunction on a cylinder. Certain forms of the…

Strongly Correlated Electrons · Physics 2014-07-25 J. Dubail , N. Read

We study spin- and mass-imbalanced mixtures of spin-$\tfrac{1}{2}$ fermions interacting via an attractive contact potential in one spatial dimension. Specifically, we address the influence of unequal particle masses on the pair formation by…

Quantum Gases · Physics 2020-07-29 Lukas Rammelmüller , Joaquín E. Drut , Jens Braun

In this work we study the possible occurrence of topological insulators for 2D fermions of high spin. They can be realized in cold fermion systems with ground-state atomic spin $F>\tfrac{1}{2}$, if the optical potential is properly…

Strongly Correlated Electrons · Physics 2018-10-31 Igor Kuzmenko , Tetyana Kuzmenko , Yshai Avishai , Masatoshi Sato

Rapidly rotating nuclei provide us good testing grounds to study the pairing correlations; in fact, the transition from the superfluid to the normal phase is realized at high-spin states. The role played by the pairing correlations is quite…

Nuclear Theory · Physics 2017-08-23 Yoshifumi R. Shimizu

Although recent theoretical and experimental progress have considerably clarified pairing mechanisms in spin 1/2 fermionic superfluid with equally populated internal states, many open questions remain when the two spin populations are…

Statistical Mechanics · Physics 2016-08-14 Frédéric Chevy

Phases analogous to supersolids can be realized in spin systems. Here we obtain the phase diagram of a frustrated dimer spin-1/2 system on a square lattice and study the collective excitation spectra, focusing on the supersolid state (SS).…

Strongly Correlated Electrons · Physics 2015-03-27 Yuta Murakami , Takashi Oka , Hideo Aoki

The physical properties of arbitrary half-integer spins $F = N - 1/2$ fermionic cold atoms trapped in a one-dimensional optical lattice are investigated by means of a low-energy approach. Two different superfluid phases are found for $F \ge…

Strongly Correlated Electrons · Physics 2009-11-11 P. Lecheminant , E. Boulat , P. Azaria
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