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We investigate the problem of backscattering off a time-dependent and spatially extended barrier in a one-dimensional electron gas. By performing a perturbative expansion in the backscattering amplitude, we compute the total energy density…

Other Condensed Matter · Physics 2009-11-11 Carlos M. Naón , Mariano J. Salvay

We study a two-dimensional fermionic QFT used to model 1D strongly correlated electrons in the presence of a time-dependent impurity that drives the system out of equilibrium. In contrast to previous investigations, we consider a dynamic…

Strongly Correlated Electrons · Physics 2009-11-10 Carlos M. Naón , Mariano J. Salvay , Marta L. Trobo

Within the model of elastic impurity scattering, we study how changes in the energy dependence of the electronic density of states (EDOS) $N(\epsilon)$ around the Fermi energy $\epsilon_F$ are reflected in the frequency-dependent optical…

Superconductivity · Physics 2009-11-07 Mei-Rong Li , J. P. Carbotte

We study an impurity with a resonance level whose energy coincides with the Fermi energy of the surrounding Fermi gas. An impurity causes a rapid variation of the scattering phase shift for fermions at the Fermi surface, introducing a new…

Quantum Gases · Physics 2022-03-29 Mikhail Maslov , Mikhail Lemeshko , Artem G. Volosniev

We introduce real-time density matrix embedding theory (DMET), a dynamical quantum embedding theory for computing non-equilibrium electron dynamics in strongly correlated systems. As in the previously developed static DMET, real-time DMET…

Chemical Physics · Physics 2017-11-03 Joshua S. Kretchmer , Garnet Kin-Lic Chan

We study the out-of-equilibrium dynamics of noninteracting fermions in one dimension and in continuum space, in the presence of a delta impurity potential at the origin whose strength $g$ is varied at time $t=0$. The system is prepared in…

Statistical Mechanics · Physics 2022-09-13 Gabriel Gouraud , Pierre Le Doussal , Gregory Schehr

We present a mean-field theoretical study on the effect of a single non-magnetic impurity in quasi-one dimensional unconventional density wave. The local scattering potential is treated within the self-consistent $T$-matrix approximation.…

Strongly Correlated Electrons · Physics 2007-05-23 Andras Vanyolos , Balazs Dora , Attila Virosztek

We investigate the real-time dynamics of a quenched quantum impurity immersed in a one-dimensional ultracold Fermi gas, focusing on the breakdown of the adiabatic Born-Oppenheimer approximation due to non-adiabatic effects. Despite a…

Quantum Gases · Physics 2025-06-25 André Becker , Georgios M. Koutentakis , Peter Schmelcher

Electron backscattering in a Luttinger liquid with an impurity is investigated in the presence of zero point motion of the phonon lattice. The impurity can mean either a mass defect, an elastic defect or a pinning defect. The phonon…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Pablo San-Jose , Francisco Guinea , Thierry Martin

We use the numerical renormalization group method to study an Anderson impurity in a conduction band with the density of states varying as rho(omega) \propto |omega|^r with r>0. We find two different fixed points: a local-moment fixed point…

Strongly Correlated Electrons · Physics 2009-10-30 R. Bulla , Th. Pruschke , A. C. Hewson

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

The one-dimensional free Fermi gas is a prototype conformally invariant system, whose entanglement properties are well-understood. In this work, the effects of a single impurity on one dimensional free fermion entanglement entropy are…

Strongly Correlated Electrons · Physics 2015-03-17 Mohammad Pouranvari , Kun Yang , Alexander Seidel

The dynamics of a single impurity interacting with a many particle background is one of the central problems of condensed matter physics. Recent progress in ultracold atom experiments makes it possible to control this dynamics by coupling…

Quantum Gases · Physics 2015-06-03 F. Nur Ünal , Balázs Hetényi , M. Ö. Oktel

We study the properties of spin-less non-interacting fermions trapped in a confining potential in one dimension but in the presence of one or more impurities which are modelled by delta function potentials. We use a method based on the…

Statistical Mechanics · Physics 2021-05-03 David S. Dean , Pierre Le Doussal , Satya N. Majumdar , Gregory Schehr

The problem of the Fermi--edge singularity in a one--dimensional Tomonaga--Luttinger liquid is reconsidered. The backward scattering of the conduction band electrons on the impurity--like hole in the valence band is analyzed by mapping the…

Condensed Matter · Physics 2009-10-28 Yuval Oreg , Alexander M. Finkel'stein

We proposed a formally exact, probabilistic method to assess the validity of the Thomas-Fermi potential for three-dimensional condensed matter systems where electron dynamics is constrained to the Fermi surface. Our method, which relies on…

Materials Science · Physics 2024-06-25 Gionni Marchetti

We study low-energy properties of the Anderson impurity under a finite bias voltage $V$ using the perturbation theory in $U$ of Yamada and Yosida in the nonequilibrium Keldysh diagrammatic formalism, and obtain the Ward identities for the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Akira Oguri

It is well known that while forward scattering has no effect on the conductance of one-dimensional systems, backscattering off a static impurity suppresses the current. We study the effect of a time-dependent point impurity on the…

Strongly Correlated Electrons · Physics 2009-11-07 D. E. Feldman , Yuval Gefen

It is well known that while forward scattering has no effect on the conductance of one-dimensional systems, backscattering off a static impurity suppresses the current. We study the effect of a time-dependent point impurity on the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 D. E. Feldman , Yuval Gefen

We consider a model of an Anderson impurity embedded in a $d_{x^2-y^2}$-wave superconducting state to describe the low-energy excitations of cuprate superconductors doped with a small amount of magnetic impurities. Due to the Dirac-like…

Strongly Correlated Electrons · Physics 2013-01-24 Guang-Ming Zhang , Hui Hu , Lu Yu
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