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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 investigate the phase diagrams of a one-dimensional lattice model of fermions and of a spin chain with interactions extending up to next-nearest neighbour range. In particular, we investigate the appearance of regions with dominant…

Quantum Gases · Physics 2021-02-24 Lorenzo Gotta , Leonardo Mazza , Pascal Simon , Guillaume Roux

A model of two interacting one--dimensional fermion systems (``Luttinger liquids'') coupled by single--particle hopping is investigated. Bosonization allows a number of exact statements to be made. In particular, for forward scattering…

Condensed Matter · Physics 2009-10-22 H. J. Schulz

We revisit the low energy physics of one dimensional spinless fermion liquids, showing that with sufficiently strong interactions the conventional Luttinger liquid can give way to a strong pairing phase. While the density fluctuations in…

Quantum Gases · Physics 2017-08-30 Jonathan Ruhman , Ehud Altman

We show that the Hubbard Hamiltonian with particle-assisted tunneling rates --recently proposed to model a fermionic mixture near a broad Feshbach resonance-- displays a ground state phase diagram with superfluid, insulating, and phase…

Quantum Physics · Physics 2009-10-08 Alberto Anfossi , Luca Barbiero , Arianna Montorsi

The one-dimensional Holstein model of spinless fermions interacting with dispersionless phonons is studied using a new variant of the density matrix renormalisation group. By examining various low-energy excitations of finite chains, the…

Condensed Matter · Physics 2009-10-31 R. J. Bursill , R. H. McKenzie , C. J. Hamer

We study the phase diagram of the one-dimensional Hubbard model with next-nearest-neighbor hopping using exact diagonalization, the density-matrix renormalization group, the Edwards variational ansatz, and an adaptation of weak-coupling…

Strongly Correlated Electrons · Physics 2009-10-30 S. Daul , R. M. Noack

We compute mean field phase diagrams of two closely related interacting fermion models in two spatial dimensions (2D). The first is the so-called 2D t-t'-V model describing spinless fermions on a square lattice with local hopping and…

Mathematical Physics · Physics 2011-07-08 Jonas de Woul , Edwin Langmann

The pairing of fermions is at the heart of superconductivity and superfluidity. The recent experimental realization of strongly interacting atomic Fermi gases has opened a new, controllable way to study novel forms of pairing and…

Soft Condensed Matter · Physics 2009-11-13 Yong-il Shin , Christian H. Schunck , Andre Schirotzek , Wolfgang Ketterle

We explore the superfluid phases of a two-component Fermi mixture with hybridized orbitals in optical lattices. We show that there exists a general mapping of this system to the Lieb lattice. By using simple multiband models with hopping…

Quantum Gases · Physics 2015-11-30 Shaoyu Yin , J. E. Baarsma , M. O. J. Heikkinen , J. -P. Martikainen , P. Törmä

We study the phase diagram of spinless fermions with nearest and next-nearest-neighbor interactions in one dimension utilizing the (finite-size) density-matrix renormalization group (DMRG) method. The competition between nearest and…

Strongly Correlated Electrons · Physics 2011-09-28 Tapan Mishra , Juan Carrasquilla , Marcos Rigol

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 consider conditions for existence of fermionic quasiparticles in a strongly anisotropic quasi-one-dimensional metal. The adopted model is a model of chains of spin-1/2 Luttinger liquid coupled by small interchain hopping. It is shown…

Condensed Matter · Physics 2008-02-03 A. M. Tsvelik

As a means of realizing oscillatory pairing between fermions, we study superfluid pairing between two fermion "spin" species that are confined to adjustable spin-dependent trapping potentials. Focusing on the one-dimensional limit, we find…

Quantum Gases · Physics 2011-03-18 Kuei Sun , Julia S. Meyer , Daniel E. Sheehy , Smitha Vishveshwara

Based on density matrix renormalization group method, we investigate the spin-orbit coupled Fermi gas with attractive interactions in one-dimensional optical lattice and present a complete phase diagram for a quarter-filling system with…

Strongly Correlated Electrons · Physics 2015-11-06 Haiping Hu , Chen Cheng , Yucheng Wang , Hong-Gang Luo , Shu Chen

The dynamics of dry active matter have implications for a diverse collection of biological phenomena spanning a range of length and time scales, such as animal flocking, cell tissue dynamics, and swarming of inserts and bacteria. Uniting…

Soft Condensed Matter · Physics 2021-01-07 David Nesbitt , Gunnar Pruessner , Chiu Fan Lee

The ground state of spin-$1\over 2$ fermions with contact $s$-wave inter- and $p$-wave intra-species interactions is discussed. Particularly, we formulate the mean field scheme for calculating thermodynamic properties of the system in…

Quantum Gases · Physics 2023-03-17 A. Nikolaeva , O. Hryhorchak , V. Pastukhov

We investigate a quantum many-body lattice system of one-dimensional spinless fermions interacting with a dynamical $Z_2$ gauge field. The gauge field mediates long-range attraction between fermions resulting in their confinement into…

Strongly Correlated Electrons · Physics 2020-03-31 Umberto Borla , Ruben Verresen , Fabian Grusdt , Sergej Moroz

We investigate a system of one dimensional Hubbard chains of interacting fermions coupled by inter-chain hopping. Using a generalization of the Dynamical Mean Field Theory we study the deconfinement transition from a Mott insulator to a…

Strongly Correlated Electrons · Physics 2009-11-07 S. Biermann , A. Georges , A. Lichtenstein , T. Giamarchi

Superfluidity in fermionic systems originates from pairing of fermions, and Bose condensation of these so-called Cooper pairs. The Cooper pairs are usually made of fermions of different species; for example in superconductors they are pairs…

Superconductivity · Physics 2013-06-20 Kun Yang
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