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Superfluidity is a fascinating phenomenon that, at the macroscopic scale, leads to dissipationless flow and the emergence of vortices. While these macroscopic manifestations of superfluidity are well described by theories that have their…

Quantum Gases · Physics 2014-06-18 Yangqian Yan , D. Blume

Systems of strongly interacting particles, fermions or bosons, can give rise to topological phases that are not acessible to non-interacting systems. Many such interaction-enabled topological phases have been discussed theoretically but few…

Strongly Correlated Electrons · Physics 2015-12-30 Ching-Kai Chiu , D. I. Pikulin , M. Franz

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 consider a generic two-dimensional system of fermionic particles with attractive interactions and no disorder. If time-reversal symmetry is absent, it is possible to obtain incompressible insulating states in addition to the superfluid…

Superconductivity · Physics 2012-06-12 Predrag Nikolic

We theoretically investigate a tight binding model of fermions hopping on the square-octagon lattice which consists of a square lattice with plaquette corners themselves decorated by squares. Upon the inclusion of second neighbor spin-orbit…

Strongly Correlated Electrons · Physics 2014-11-21 Mehdi Kargarian , Gregory A. Fiete

In addition to the conventional contribution that is directly controlled by the single-particle energy spectrum, the superfluid phase stiffness of a two-component Fermi gas has a geometric contribution that is governed by the quantum metric…

Quantum Gases · Physics 2019-02-05 M. Iskin

We study the attractive fermionic Hubbard model on a honeycomb lattice using determinantal quantum Monte Carlo simulations. By increasing the interaction strength U (relative to the hopping parameter t) at half-filling and zero temperature,…

Quantum Gases · Physics 2009-12-24 K. L. Lee , K. Bouadim , G. G. Batrouni , F. Hebert , R. T. Scalettar , C. Miniatura , B. Gremaud

We review recent results on lattice models for spin-less fermions with strong repulsive interactions. A judicious tuning of kinetic and interaction terms leads to a model possessing supersymmetry. In the 1D case, this model displays…

Mathematical Physics · Physics 2017-08-23 L. Huijse , K. Schoutens

We predict the existence of a pair-liquid phase in lattice fermion systems with finite-range attractive interactions. This exotic state competes on one side with a normal Fermi liquid of unpaired fermions and on the other side with a…

Superconductivity · Physics 2023-03-20 Pavel Kornilovitch

Recent advanced experimental implementations of optical lattices with highly tunable geometry open up new regimes for quantum many-body states of matter that previously had not been accessible. Here we introduce a symmetry-based method of…

Quantum Gases · Physics 2021-01-12 Maksims Arzamasovs , Shuai Li , W. Vincent Liu , Bo Liu

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 get an anomalous Hall metallic state in the Honeycomb lattice with nearest neighbors only arising as a spontaneously broken symmetry state from a local nearest neighbor Coulomb interaction V . The key ingredient is to enlarge the unit…

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 investigated possible superfluid phases at finite temperature in a two-component Fermi gas with density imbalance. In the frame of a general four-fermion interaction theory, we solved in the BCS region the gap equations for the pairing…

Superconductivity · Physics 2016-08-31 Lianyi He , Meng Jin , Pengfei Zhuang

We explore the possibility of inducing a topological insulator phase in a honeycomb lattice lacking spin-orbit interaction using a metallic (or Fermi gas) environment. The lattice and the metallic environment interact through a…

Strongly Correlated Electrons · Physics 2016-11-25 T. Pereg-Barnea , G. Refael

We investigate the phase diagram of a one-dimensional model of hardcore bosons or spinless fermions with tunable nearest-neighbor interactions. By introducing alternating repulsive and attractive interactions on consecutive bonds, we show…

Quantum Gases · Physics 2025-08-18 Rajashri Parida , Diptiman Sen , Tapan Mishra

We introduce a new platform for quantum simulation of many-body systems based on nonspherical atoms or molecules with zero dipole moment but possessing a significant value of electric quadrupole moment. We consider a quadrupolar Fermi gas…

Quantum Gases · Physics 2013-11-21 Satyan G. Bhongale , Ludwig Mathey , Erhai Zhao , Susanne F. Yelin , Mikhail Lemeshko

Attractive interactions between fermions can produce a superfluid ground state, in which pairs of up and down spins swirl together in a coordinated, coherent dance. How is this dance affected by an imbalance in the population of up and down…

Quantum Gases · Physics 2012-04-27 Mason Swanson , Yen Lee Loh , Nandini Trivedi

We study a balanced two-component system of ultracold fermions in one dimension with attractive interactions and subject to a spin-dependent optical lattice potential of opposite sign for the two components. We find states with different…

Quantum Gases · Physics 2010-09-29 I. Zapata , B. Wunsch , N. T. Zinner , E. Demler

We study the physics of a three-component Fermi gas in an optical lattice, in the presence of a strong three-body constraint arising due to three-body loss. Using analytical and numerical techniques, we show that an atomic color superfluid…

Quantum Gases · Physics 2011-12-22 A. Privitera , I. Titvinidze , S. -Y. Chang , S. Diehl , A. J. Daley , W. Hofstetter