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We consider a system of interacting fermions in two dimensions beyond the second-order perturbation theory in the interaction. It is shown that the mass-shell singularities in the self-energy, arising already at the second order of the…

Strongly Correlated Electrons · Physics 2011-07-14 A. V. Chubukov , D. L. Maslov , S. Gangadharaiah , L. I. Glazman

We study a system of $N$ noninteracting spinless fermions in a confining, double-well potential in one dimension. When the Fermi energy is close to the value of the potential at its local maximum we show that physical properties, such as…

Statistical Mechanics · Physics 2020-05-19 Naftali R. Smith , David S. Dean , Pierre Le Doussal , Satya N. Majumdar , Gregory Schehr

Using Landau theory of Fermi liquids we calculate the dynamic response of both a polarized and unpolarized normal Fermi gas at zero temperature in the strongly interacting regime of large scattering length. We show that at small excitation…

Statistical Mechanics · Physics 2010-04-22 S. Stringari

The attractive Fermi-Hubbard model is the simplest theoretical model for studying pairing and superconductivity of fermions on a lattice. Although its s-wave pairing symmetry excludes it as a microscopic model for high-temperature…

We show that bimodal radio frequency spectra universally arise at intermediate temperatures in models of strongly interacting trapped Fermi gases. The bimodality is independent of superfluidity or pseudogap physics, depending only on the…

Other Condensed Matter · Physics 2009-11-13 Erich J. Mueller

Motivated by the recent experimental progresses in the study of p-wave resonant Fermi gas, we investigate the normal state properties of such a gas close to a p-wave scattering resonance. We calculate the universal equation of state and the…

Quantum Gases · Physics 2018-04-18 Juan Yao , Shizhong Zhang

We consider the spectrum of two ultracold harmonically trapped atoms interacting via short-range interactions. The Green's function approach is used to unify the two and three dimensional cases. We derive criteria for the universality of…

Quantum Gases · Physics 2012-05-03 N. T. Zinner

Theory of superconductivity in two-band non-adiabatic systems with strong electron correlations in the linear approximation over non-adiabaticity is built in the article. Having assumed weak electron-phonon interaction analytical…

Superconductivity · Physics 2007-05-23 M. E. Palistrant , V. A. Ursu

Understanding the dynamics of short-range correlations is a central challenge in strongly interacting Fermi gases. In ultracold gases, these correlations are quantified by the contact parameter, yet measurements to date have been limited to…

An ultracold Fermi atomic gas at unitarity presents universal properties that in the diluted limit can be well described by a contact interaction. By employing a guide function with correct boundary conditions and making simple…

Quantum Gases · Physics 2016-01-20 Renato Pessoa , S. Gandolfi , S. A. Vitiello , K. E. Schmidt

The influence of s- and p-wave interactions on trapped degenerate one and two-component Fermi gases is investigated. The energy functional of a multicomponent Fermi gas is derived within the Thomas-Fermi approximation including the s- and…

Statistical Mechanics · Physics 2009-11-07 R. Roth , H. Feldmeier

We study the odd-wave interacting identical fermions in one-dimension with finite effective range. We show that to fully describe the high-momentum distribution $\rho(k)$ up to $k^{-4}$, one needs four parameters characterizing the…

Quantum Gases · Physics 2017-01-05 Xiaoling Cui , Huifang Dong

We consider the resonant Fermi gas, that is, two-component fermions in three dimensions interacting by a short-range potential of large scattering length. We introduce a quantity, the three-body contact, that determines several observables.…

Quantum Gases · Physics 2024-04-23 Félix Werner , Xavier Leyronas

The wave function of two fermions, repulsively interacting in the presence of a Fermi sea, is evaluated in detail. We consider large but finite systems in order to obtain an unabiguous picture of the two-particle correlations. As recently…

Condensed Matter · Physics 2015-06-25 W. Metzner , C. Castellani

The induced interaction among the majority spin species, due to the presence of the minority species, is computed for the case of a population-imbalanced resonantly-interacting Fermi gas. It is shown that this interaction leads to an…

Quantum Gases · Physics 2011-06-14 Kelly R. Patton , Daniel E. Sheehy

Quantum Monte Carlo techniques are employed to study the properties of polarons in an ultracold Fermi gas, at $T= 0,$ and in the unitary regime using both a zero-range model and a square-well potential. For a fixed density, the potential…

Quantum Gases · Physics 2021-10-26 Renato Pessoa , S. A. Vitiello , L. A. Peña Ardila

We propose to use a two-species Fermi gas with the interspecies s-wave Feshbach resonance to realize p-wave superfluidity in two dimensions. By confining one species of fermions in a two-dimensional plane immersed in the background…

Other Condensed Matter · Physics 2009-03-12 Yusuke Nishida

The pair-condensed unpolarized spin-$1/2$ Fermi gases have a collective excitation branch in their pair-breaking continuum (V.A. Andrianov, V.N. Popov, 1976). We study it at zero temperature, with the eigenenergy equation deduced from the…

Quantum Gases · Physics 2020-09-02 Yvan Castin , Hadrien Kurkjian

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

Measurements of spin dynamics of electrons in a degenerate two dimensional electron gas, where the Dyakonov-Perel mechanism is dominant, have been used to investigate the electron scattering time (tp*) as a function of energy near the Fermi…

Other Condensed Matter · Physics 2008-03-11 W. J. H. Leylanda , R. T. Harley , M. Henini , A. J. Shields , I. Farrer , D. A. Ritchie