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We investigate the ground-state energy of a one-dimensional Fermi gas with two bosonic impurities. We consider spinless fermions with no fermion-fermion interactions. The fermion-impurity and impurity-impurity interactions are modelled with…

Quantum Gases · Physics 2019-12-18 D. Huber , H. -W. Hammer , A. G. Volosniev

A Coulomb impurity placed in an undoped Weyl semimetal spontaneously surrounds itself with a cloud of condensed Weyl fermions. We study this system within the Thomas-Fermi approximation. We find that the ground-state of the system is…

Mesoscale and Nanoscale Physics · Physics 2014-02-03 Eugene B. Kolomeisky , Joseph P. Straley

We consider the highly spin-imbalanced limit of a two-component Fermi gas, where there is a small density of $\downarrow$ impurities attractively interacting with a sea of $\uparrow$ fermions. In the single-impurity limit at zero…

Quantum Gases · Physics 2021-02-17 Meera M. Parish , Haydn S. Adlong , Weizhe E. Liu , Jesper Levinsen

We consider a class of models with infinite extra dimension, where bulk space does not possess SO(1,3) invariance, but Lorentz invariance emerges as an approximate symmetry of the low-energy effective theory. In these models, the maximum…

High Energy Physics - Theory · Physics 2014-11-18 S. L. Dubovsky

The Luttinger Theorem, which relates the electron density to the volume of the Fermi surface in an itinerant electron system, is taken to be one of the essential features of a Fermi liquid. The microscopic derivation of this result depends…

Strongly Correlated Electrons · Physics 2018-09-17 O. J. Curtin , Y. Nishikawa , A. C. Hewson , D. J. G. Crow

In a classical plasma the momentum distribution, $n(k)$, decays exponentially, for large $k$, and the same is observed for an ideal Fermi gas. However, when quantum and correlation effects are relevant simultaneously, an algebraic decay,…

Plasma Physics · Physics 2021-05-12 Kai Hunger , Tim Schoof , Tobias Dornheim , Michael Bonitz , Alexey Filinov

We consider a version of the symmetric Anderson impurity model (compactified) which has a non-Fermi liquid weak coupling regime. We find that in the Majorana fermion representation, perturbation theory can be conveniently developed in terms…

Condensed Matter · Physics 2009-10-28 Guang-Ming Zhang , A. C. Hewson

The single channel Anderson impurity model is a standard model for the description of magnetic impurities in metallic systems. Usually, the bandwidth represents the largest energy scale of the problem. In this paper, we analyze the limit of…

Strongly Correlated Electrons · Physics 2009-10-31 W. Hofstetter , S. Kehrein

We investigate the motion of an impurity particle injected with finite velocity into an interacting one-dimensional quantum gas. Using large-scale numerical simulations based on matrix product states, we observe and quantitatively analyze…

The single impurity Kondo problem in the one-dimensional $\delta$-potential Fermi gas is exactly solved for two sets of special coupling constants via Bethe ansatz. It is found that ferromagnetic Kondo screening does occur in one case which…

Condensed Matter · Physics 2009-10-28 Yupeng Wang , Johannes Voit

We revisit the polaron-molecule transition in three-dimensional(3D) fermion systems using the well-established variational approach. The molecule is found to be intrinsically unstable against lowest-order particle-hole excitations, and it…

Quantum Gases · Physics 2021-01-04 Xiaoling Cui

We study the motion of a heavy impurity in a one-dimensional Bose gas. The impurity experiences the friction force due to scattering off thermally excited quasiparticles. We present detailed analysis of an arbitrarily strong impurity-boson…

Quantum Gases · Physics 2023-11-07 Aleksandra Petković , Zoran Ristivojevic

The one-particle density matrix of a one-dimensional system of fermions featuring a hard-core repulsive interaction at short distances can be computed (numerically) exactly by means of the continuous-space Worm Algorithm, without any sign…

Other Condensed Matter · Physics 2025-07-22 Massimo Boninsegni

We study segregation of an impurity in a driven granular fluid under two types of \emph{steady} states. In the first state, the granular gas is driven by a stochastic volume force field with a Fourier-type profile while in the second state,…

Soft Condensed Matter · Physics 2015-01-05 Francisco Vega Reyes , Vicente Garzó

We address the problem of a magnetic impurity in a two dimensional $U(1)$ spin liquid where the spinons have gap-less excitations near the Fermi-surface and are coupled to an emergent gap-less gauge field. Using a large N expansion we…

Strongly Correlated Electrons · Physics 2015-05-20 P. Ribeiro , P. A. Lee

We study the dynamics of a small number of impurity particles coupled to the ideal Fermi gas in a $d$-dimensional box. The impurities interact with the fermions via a two-body potential $\lambda v(x)$ where $\lambda$ is a coupling constant…

Mathematical Physics · Physics 2021-05-07 David Mitrouskas , Peter Pickl

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

We address the problem of a single "spin-down" impurity atom interacting attractively with a spin-up Fermi gas in two dimensions (2D). We consider the case where the mass of the impurity is greater than or equal to the mass of a spin-up…

Quantum Gases · Physics 2011-05-13 Meera M. Parish

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

We numerically study the relaxation dynamics of a single, heavy impurity atom interacting with a finite one- or two-dimensional, ultracold Bose-gas. While there is a clear separation of time scales between processes resulting from single-…

Quantum Gases · Physics 2018-04-04 Tobias Lausch , Artur Widera , Michael Fleischhauer