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We introduce a quantum Monte Carlo technique to calculate exactly at finite temperatures the Green function of a fermionic quantum impurity coupled to a bosonic field. While the algorithm is general, we focus on the single impurity Anderson…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Liliana Arrachea , Marcelo J. Rozenberg

The impurity Green function and dynamical susceptibilties for the two-channel Anderson impurity model are calculated. An exact expression for the self-energy of the impurity Green function is derived. The imaginary part of the self-energy…

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

We consider a $SU(N)\times SU(M)$ generalization of the multichannel single-impurity Kondo model which we solve analytically in the limit $N\rightarrow \infty$, $M\rightarrow\infty$, with $\gamma=M/N$ fixed. Non-Fermi liquid behavior of the…

Condensed Matter · Physics 2009-10-22 Daniel L. Cox , Andrei E. Ruckenstein

We use a lattice Green function approach to study the stationary modes of a linear/nonlinear (Kerr) impurity embedded in a periodic one-dimensional lattice where we replace the standard discrete Laplacian by a fractional one. The energies…

Pattern Formation and Solitons · Physics 2021-10-27 Mario I. Molina

The self-energy method for quantum impurity models expresses the correlation part of the self-energy in terms of the ratio of two Green's functions and allows for a more accurate calculation of equilibrium spectral functions than is…

Strongly Correlated Electrons · Physics 2021-11-24 H. T. M. Nghiem , T. A. Costi

We propose efficient measurement procedures for the self-energy and vertex function of the Anderson impurity model within the hybridization expansion continuous-time quantum Monte Carlo algorithm. The method is based on the measurement of…

Strongly Correlated Electrons · Physics 2012-06-01 Hartmut Hafermann , Kelly R. Patton , Philipp Werner

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

The nonequilibrium spectral properties of the Anderson impurity model with a chemical potential bias are investigated within a numerically exact real time quantum Monte Carlo formalism. The two-time correlation function is computed in a…

Strongly Correlated Electrons · Physics 2014-04-11 Guy Cohen , Emanuel Gull , David R. Reichman , Andrew J. Millis

We study the low-energy behavior of the vertex function of a single Anderson impurity away from half-filling for finite magnetic fields, using the Ward identities with careful consideration of the anti-symmetry and analytic properties. The…

Strongly Correlated Electrons · Physics 2020-07-23 Akira Oguri , A. C. Hewson

We investigate a four-impurity Anderson model where localized orbitals are located at vertices of a regular tetrahedron and find a novel fixed point in addition to the ordinary Fermi liquid phase. That is characterized by unscreened scalar…

Strongly Correlated Electrons · Physics 2015-06-05 K. Hattori , H. Tsunetsugu

We review a recently developed method, based on a pseudoparticle representation of correlated electrons, to describe both Fermi liquid and non-Fermi liquid behavior in quantum impurity systems. The role of the projection onto the physical…

Strongly Correlated Electrons · Physics 2020-04-20 Johann Kroha , Peter Wölfle

We apply the recently developed extremely correlated Fermi liquid theory to the Anderson impurity model, in the extreme correlation limit. We develop an expansion in a parameter \lambda, related to n_d, the average occupation of the…

Strongly Correlated Electrons · Physics 2026-01-14 B. Sriram Shastry , Edward Perepelitsky , Alex C. Hewson

We review a recently developed method, based on an exact auxiliary boson representation, to describe both Fermi liquid and non-Fermi liquid behavior in quantum impurity systems. Coherent spin and charge fluctuation processes are taken into…

Strongly Correlated Electrons · Physics 2007-05-23 J. Kroha , P. Wölfle

Using the cumulant Green's functions method (CGFM), we study the single impurity Anderson model (SIAM). The CGFM starting point is a diagonalization of the SIAM Hamiltonian expressed in a semi-chain form, containing N sites, viz., a…

Strongly Correlated Electrons · Physics 2024-09-26 T. M. Sobreira , T. O. Puel , M. A. Manya , S. E. Ulloa , G. B. Martins , J. Silva-Valencia , R. N. Lira , M. S. Figueira

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

Thermodynamic properties are presented for four magnetic impurity models describing delocalized fermions scattering from a localized orbital at an energy-dependent rate $\Gamma(\epsilon)$ which vanishes precisely at the Fermi level,…

Strongly Correlated Electrons · Physics 2009-10-31 Carlos Gonzalez-Buxton , Kevin Ingersent

We consider an Anderson impurity model in which the locally correlated orbital is coupled to a host with a gapped density of states. Single-particle dynamics are studied, within a perturbative framework that includes both explicit…

Strongly Correlated Electrons · Physics 2009-02-26 Martin R. Galpin , David E. Logan

A local moment approach is developed for the single-particle excitations of a symmetric Anderson impurity model (AIM), with a soft-gap hybridization vanishing at the Fermi level with a power law r > 0. Local moments are introduced…

Strongly Correlated Electrons · Physics 2009-10-31 David E Logan , Matthew T Glossop

We introduce a method to obtain the specific heat of quantum impurity models via a direct calculation of the impurity internal energy requiring only the evaluation of local quantities within a single numerical renormalization group (NRG)…

Strongly Correlated Electrons · Physics 2012-08-29 L. Merker , T. A. Costi

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
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