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We examine the leading order semiclassical gradient corrections to the non-interacting kinetic energy density functional of a two dimensional Fermi gas by applying the extended Thomas-Fermi theory at finite temperature. We find a non-zero…

Quantum Gases · Physics 2015-05-20 Brandon P. van Zyl , K. Berkane , K Bencheikh , A. Farrell

A detailed derivation of the recently proposed time-dependent numerical renormalization-group (TD-NRG) approach to nonequilibrium dynamics in quantum impurity systems is presented. We demonstrate that the method is suitable for fermionic as…

Strongly Correlated Electrons · Physics 2007-05-23 Frithjof B. Anders , Avraham Schiller

Single-particle dynamics of the Anderson impurity model in the presence of a magnetic field $H$ are considered, using a recently developed local moment approach that encompasses all energy scales, field and interaction strengths. For strong…

Strongly Correlated Electrons · Physics 2009-11-07 David E. Logan , Nigel L. Dickens

We present the solution of the SU(N) x SU(M) Anderson impurity model using the Bethe-Ansatz. We first explain what extensions to the formalism were required for the solution. Subsequently we determine the ground state and derive the…

Strongly Correlated Electrons · Physics 2007-05-23 C. J. Bolech , N. Andrei

We introduce a method to evaluate the steady-state non-equilibrium Keldysh-Schwinger Green's functions for infinite systems subject to both an electric field and a coupling to reservoirs. The method we present exploits a physical…

Strongly Correlated Electrons · Physics 2020-08-26 Christian Klöckner , Dante Marvin Kennes , Christoph Karrasch

In the Renormalised Perturbation Theory (RPT) the Anderson impurity model is interpreted in terms of renormalised parameters $\boldsymbol{\tilde{\mu}}= (\tilde{\epsilon}_d, \tilde{\Delta}, \tilde{U})$ which are in a one-to-one…

Strongly Correlated Electrons · Physics 2015-08-19 Vassilis Pandis , Alex C. Hewson

The functional renormalization group has become a widely used tool for the analysis of the leading low-temperature correlations in weakly to moderately coupled many-fermion lattice systems. A bottleneck for quantitatively more precise…

Strongly Correlated Electrons · Physics 2018-08-15 Timo Reckling , Carsten Honerkamp

We propose a nonperturbative renormalization-group (NPRG) approach to fermion systems in the two-particle-irreducible (2PI) effective action formalism, based on an exact RG equation for the Luttinger-Ward functional. This approach enables…

Strongly Correlated Electrons · Physics 2014-01-27 N. Dupuis

We use the framework set up recently to compute non-perturbatively inelastic scattering from quantum impurities [G. Zar\'and {\it et al.}, Phys. Rev. Lett. {\bf 93}, 107204 (2004)] to study the the energy dependence of the single particle…

Strongly Correlated Electrons · Physics 2007-06-18 L. Borda , L. Fritz , N. Andrei , G. Zarand

We develop a numerical method to compute the negativity, an entanglement measure for mixed states, between the impurity and the bath in quantum impurity systems at finite temperature. We construct a thermal density matrix by using the…

Mesoscale and Nanoscale Physics · Physics 2018-08-28 Jeongmin Shim , H. -S. Sim , Seung-Sup B. Lee

A theory for treating the unconventional non-Fermi liquid temperature dependence of physical quantities, such as the resistivity, in the Pr-based two-channel Anderson impurities system is developed. It is shown that their temperature…

Strongly Correlated Electrons · Physics 2022-02-16 Atsushi Tsuruta , Kazumasa Miyake

The quantum criticality of the two-lead two-channel pseudogap Anderson model is studied. Based on the non-crossing approximation, we calculate both the linear and nonlinear conductance of the model at finite temperatures with a voltage bias…

Strongly Correlated Electrons · Physics 2016-05-04 Tsan-Pei Wu , Chung-Hou Chung

Within the recently introduced auxiliary master equation approach it is possible to address steady state properties of strongly correlated impurity models, small molecules or clusters efficiently and with high accuracy. It is particularly…

Strongly Correlated Electrons · Physics 2015-12-10 Antonius Dorda , Martin Ganahl , Hans Gerd Evertz , Wolfgang von der Linden , Enrico Arrigoni

We have applied the recently developed dual fermion technique to the spectral properties of single-band Anderson impurity problem (SIAM). In our approach a series expansion is constructed in vertices of the corresponding atomic Hamiltonian…

Strongly Correlated Electrons · Physics 2010-06-15 I. S. Krivenko , A. N. Rubtsov , M. I. Katsnelson , A. I. Lichtenstein

We theoretically investigate the correlated decoherence dynamics of two mobile impurities trapped within a gas of ultracold fermionic atoms. We use a mean-field approximation to self-consistently describe the effect of impurity-gas…

Quantum Gases · Physics 2026-01-06 Sindre Brattegard , Thomás Fogarty , Thomas Busch , Mark T. Mitchison

The non-linear sigma model is a well-established theoretical tool for studies of transport and thermodynamics in disordered electronic systems. The conventional sigma model approach for interacting systems does not account for particle-hole…

Mesoscale and Nanoscale Physics · Physics 2022-07-08 G. Schwiete

The interplay of magnetic and superconducting fluctuations in two dimensional systems with van Hove singularities in the electronic spectrum is considered within the functional renormalization group (fRG) approach. While the fRG flow has to…

Strongly Correlated Electrons · Physics 2010-05-03 A. Katanin

Technological progress in material synthesis, as well as artificial realization of condensed matter scenarios via ultra-cold atomic gases in optical lattices or epitaxial growth of thin films, is opening the gate to investigate a plethora…

Superconductivity · Physics 2015-06-17 Christian Platt , Werner Hanke , Ronny Thomale

A spin-1/2 magnetic impurity coupled to a one-dimensional correlated electron system have been studied by applying the density renormalization group method. The Kondo temperature is substantially enhanced by strong repulsive interactions in…

Strongly Correlated Electrons · Physics 2009-10-30 Xiaoqun Wang

Finite temperature density functional theory requires representations for the internal energy, entropy, and free energy as functionals of the local density field. A central formal difficulty for an orbital-free representation is…

Statistical Mechanics · Physics 2011-05-12 James W. Dufty , S. B. Trickey