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We study the problem of three ultracold fermions in different hyperfine states loaded into a lattice with spatial dimension D=1,2. We consider SU(3)-symmetric attractive interactions and also eventually include a three-body constraint,…

Quantum Gases · Physics 2013-03-01 J. Pohlmann , A. Privitera , I. Titvinidze , W. Hofstetter

It is known that many-body correlations qualitatively modify the properties of a one-dimensional metal. However, for a quasi-one-dimensional metal these correlations are suppressed, at least partially. We study conditions under which the…

Strongly Correlated Electrons · Physics 2012-11-15 A. V. Rozhkov

Electrons and holes in a semiconductor form hydrogen-atom-like bound states, called excitons. At high electron-hole densities the attractive Coulomb force becomes screened and excitons can no longer exist. Bardeen-Cooper-Schrieffer theory…

Superconductivity · Physics 2012-05-16 Marijn A. M. Versteegh , A. J. van Lange , H. T. C. Stoof , Jaap I. Dijkhuis

We theoretically study spin-$1/2$ fermions confined to two spatial dimensions and experiencing isotropic short-range attraction in the presence of both spin-orbit coupling and Zeeman spin splitting - a prototypical system for developing…

Quantum Gases · Physics 2022-05-25 Ulrich Ebling , Ulrich Zülicke , Joachim Brand

The experimental advances in cold atomic and molecular gases stimulate the investigation of lattice correlated systems beyond the conventional on-site Hubbard approximation, by possibly including multi-particle processes. We study fermionic…

Strongly Correlated Electrons · Physics 2015-06-17 Fabrizio Dolcini , Arianna Montorsi

A generalization of the Cooper pairing mechanism is proposed which allows for a triplet state of lower energy. This is achieved by incorporating spin into the canonical commutation relations and by modifying the $\delta$ potential contact…

Superconductivity · Physics 2010-12-14 Ashok Das , J. Gamboa , F. Mendez , F. Torres

To investigate ultracold fermionic atoms of three internal states (colors) in an optical lattice, subject to strong attractive interaction, we study the attractive three-color Hubbard model in infinite dimensions by using a variational…

Superconductivity · Physics 2008-04-24 Akos Rapp , Walter Hofstetter , Gergely Zarand

We consider a three-component Fermi gas that has SU(3) symmetry and is confined to two dimensions (2D). For realistic cold atomic gas experiments, we show that the phase diagram of the quasi-2D system can be characterized using two 2D…

Quantum Gases · Physics 2017-11-27 Thomas Kirk , Meera M. Parish

The pairing of charge carriers with large pair momentum is considered in connection with high-temperature superconductivity of cuprate compounds. The possibility of pairing arises due to some essential features of quasi-two-dimensional…

Superconductivity · Physics 2009-11-07 V. I. Belyavsky , Yu. V. Kopaev

We study the roles of quark-pair correlations for baryon properties, in particular on non-leptonic weak decay of hyperons. We construct the quark wave function of baryons by solving the three body problem explicitly with confinement force…

Nuclear Theory · Physics 2009-10-31 K. Suzuki , E. Hiyama , H. Toki , M. Kamimura

We delineate, as an analog of two-flavor dense quark matter, the phase structure of a many-body mixture of atomic bosons and fermions in two internal states with a tunable boson-fermion attraction. The bosons b correspond to diquarks, and…

Quantum Gases · Physics 2014-11-18 Kenji Maeda , Gordon Baym , Tetsuo Hatsuda

We investigate the effect of Pauli blocking on universal two- and three-body states in the medium. Their corresponding energies are extracted from the poles of two- and three-body in-medium scattering amplitudes. Compared to the vacuum, the…

Quantum Gases · Physics 2012-08-16 P. Niemann , H. -W. Hammer

We study numerically, in the framework of the Cooper approach from 1956, mechanisms of pair formation in a model of La-based cuprate superconductors with longer-ranged hopping parameters reported in the literature at different values of…

Superconductivity · Physics 2022-11-15 Klaus M. Frahm , Dima L. Shepelyansky

Triple-fold or pseudospin-1 semimetals belong to a class of multi-fold materials in which linearly dispersive bands and flat bands intersect at the same point, forming triple-fold crossing points. We conduct an analytical investigation of…

Mesoscale and Nanoscale Physics · Physics 2025-10-07 A. Yu. Prykhodko , E. V. Gorbar , P. O. Sukhachov

Different superconducting pairing mechanisms are markedly distinct in the underlying Cooper pair kinematics. Pairing interactions mediated by quantum-critical soft modes are dominated by highly collinear processes, falling into two classes:…

Superconductivity · Physics 2023-09-26 Zhiyu Dong , Patrick A. Lee , Leonid S. Levitov

Topologically protected fermionic quasiparticles appear in metals, where band degeneracies occur at the Fermi level, dictated by the band structure topology. While in some metals these quasiparticles are direct analogues of elementary…

Mesoscale and Nanoscale Physics · Physics 2016-07-11 Ziming Zhu , Georg W. Winkler , QuanSheng Wu , Ju Li , Alexey A. Soluyanov

We study the phase diagram of a three-component Fermi gas with weak attractive interactions, which shows three superfluid and one normal phases. At weak symmetry breaking between the components the existence of domain walls interpolating…

Other Condensed Matter · Physics 2009-07-23 G. Catelani , E. A. Yuzbashyan

We present a numerical analysis of spin-$\frac{1}{2}$ fermions in a one-dimensional harmonic potential in the presence of a magnetic point-like impurity at the center of the trap. The model represents a few-body analogue of a magnetic…

Cooper pairing in two dimensions is analyzed with a set of renormalized equations to determine its binding energy for any fermion number density and all coupling assuming a generic pairwise residual interfermion interaction. \ Also…

Superconductivity · Physics 2016-08-15 S. K. Adhikari , M. Casas , A. Puente , A. Rigo , M. Fortes , M. A. Solís , M. de Llano , A. A. Valladares , O. Rojo

Recent advances in ultra-cold atomic Fermi gases make it possible to achieve a fermionic superfluid with multiple spin components. In this context, any mean-field description is expected to fail, owing to the presence of tightly bound…

Superconductivity · Physics 2009-11-13 Xia-Ji Liu , Hui Hu , Peter D. Drummond