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A dilute homogeneous 3D Fermi gas in the ground state is considered for the case of a repulsive pairwise interaction. The low-density (dilution) expansions for the kinetic and interaction energies of the system in question are calculated up…

Statistical Mechanics · Physics 2009-11-10 A. A. Shanenko

We study the dynamics of a heavy particle of mass $M$ moving in a one-dimensional repulsively interacting Fermi gas. The Fermi gas is described using the Luttinger model and bosonization. By transforming to a frame co-moving with the heavy…

Condensed Matter · Physics 2009-10-28 A. H. Castro Neto , Matthew P. A. Fisher

We directly observe the hydrodynamic linear response of a unitary Fermi gas confined in a box potential and subject to a spatially periodic optical potential that is translated into the cloud at speeds ranging from subsonic to supersonic.…

Quantum Gases · Physics 2019-10-23 Lorin Baird , Xin Wang , Stetson Roof , J. E. Thomas

We simulate a balanced attractively interacting two-component Fermi gas in a one-dimensional lattice perturbed with a moving potential well or barrier. Using the time-evolving block decimation method, we study different velocities of the…

Quantum Gases · Physics 2015-11-20 A. -M. Visuri , D. -H. Kim , J. J. Kinnunen , F. Massel , P. Törmä

A theory for the effect of impurity scattering on electronic Raman scattering in unconventional superconductors is presented. The impurity dependence of the the spectra can be used to to distinguish between conventional (anisotropic…

Condensed Matter · Physics 2009-10-22 T. P. Devereaux

We consider an impurity in a sea of zero-temperature fermions uniformly distributed throughout the space. The impurity scatters on fermions. On average, the momentum of impurity decreases with time as $t^{-1/(d+1)}$ in $d$ dimensions, and…

Quantum Gases · Physics 2024-09-10 P. L. Krapivsky

We consider interacting Fermi systems close to the unitary regime and compute the corrections to the energy density that are due to a large scattering length and a small effective range. Our approach exploits the universality of the density…

Nuclear Theory · Physics 2009-02-05 Anirban Bhattacharyya , T. Papenbrock

We present results for the spectral properties of Kondo impurities in nanoscopic systems. Using Wilson's renormalization group we analyze the frequency and temperature dependence of the impurity spectral density for impurities in small…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 P. S. Cornaglia , C. A. Balseiro

We study a problem of an infinitely heavy impurity introduced into a polarized Fermi gas, which can be solved exactly with the help of Fumi's theorem. We consider the regime of finite-range fermion-impurity interactions beyond the standard…

Quantum Gases · Physics 2025-08-28 Nikolay Yegovtsev

The results of the mean field studies on the effects of the backward scattering with large momentum transfer in a two-dimensional electron system are extended to the case with various types of the Fermi surface and coupling constants. It is…

Strongly Correlated Electrons · Physics 2009-10-31 Masakazu Murakami , Hidetoshi Fukuyama

Using two different numerical methods, we study the behavior of two-component Fermi gases interacting through short-range s-wave interactions in a harmonic trap. A correlated Gaussian basis-set expansion technique is used to determine the…

Other Condensed Matter · Physics 2009-11-13 J. von Stecher , Chris H. Greene , D. Blume

The conductivity of a two-dimensional electron gas in a parallel magnetic field is calculated. We take into account the magnetic field induced spin-splitting, which changes the density of states, the Fermi momentum and the screening…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 V. T. Dolgopolov , A. Gold

It is known that the presence of the Fermi sea modifies the scattering of an electron from a point-like impurity. This is due to the Friedel oscillations of the electron density around the impurity. These oscillations create an additional…

Mesoscale and Nanoscale Physics · Physics 2020-12-30 Nathan L. Foulk , M. E. Raikh

The cross section of elastic electron-proton scattering taking place in an electron gas is calculated within the Closed Time Path method. It is found to be the sum of two terms, one being the expression in the vacuum except that it involves…

High Energy Physics - Theory · Physics 2013-05-30 Janos Polonyi , Karima Zazoua

A system composed of an ideal gas of N fermions interacting with an impurity particle in two space dimensions is considered. The interaction between impurity and fermions is given in terms of two-body point interactions whose strength is…

Mathematical Physics · Physics 2018-07-18 Marcel Griesemer , Ulrich Linden

A metallic electron system near an orientational symmetry breaking Pomeranchuk instability is characterized by a ''soft'' Fermi surface with enhanced collective fluctuations. We analyze fluctuation effects in a two-dimensional electron…

Strongly Correlated Electrons · Physics 2010-12-30 Luca Dell'Anna , Walter Metzner

We analyze the onset of diffusive hydrodynamics in the one-dimensional hard-rod gas subject to stochastic backscattering. While this perturbation breaks integrability and leads to a crossover from ballistic to diffusive transport, it…

Statistical Mechanics · Physics 2023-06-16 Javier Lopez-Piqueres , Romain Vasseur

Ground state energies and superfluid gaps are calculated for degenerate Fermi systems interacting via long attractive scattering lengths such as cold atomic gases, neutron and nuclear matter. In the intermediate region of densities, where…

Condensed Matter · Physics 2009-10-31 H. Heiselberg

We consider a one-dimensional gas of spin-1/2 fermions interacting through $\delta$-function repulsive potential of an arbitrary strength. For the case of all fermions but one having spin up, we calculate time-dependent two-point…

Mathematical Physics · Physics 2015-01-21 O. Gamayun , A. G. Pronko , M. B. Zvonarev

The work presents a proof of convergence of the density of energy levels to a Gaussian distribution for a wide class of quadratic forms of Fermi operators. This general result applies also to quadratic operators with disorder, e.g.,…

Mathematical Physics · Physics 2017-06-28 Fabio Deelan Cunden , Anna Maltsev , Francesco Mezzadri