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Relative permeability is commonly used to model immiscible fluid flow through porous materials. In this work we derive the relative permeability relationship from conservation of energy, assuming that the system to be non-ergodic at large…

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 study the unstable harmonic oscillator and the unstable linear potential in the presence of the point potential, which is the superposition of the Dirac $\delta(x)$ and the derivative $\delta'(x)$. Using the \textit{physical} boundary…

Mathematical Physics · Physics 2015-06-18 F. H. Maldonado-Villamizar

We give a comprehensive analysis of the singular dynamics and of the low-energy fixed point of one-channel impurity s-d models with ferromagnetic and underscreened antiferromagnetic couplings. We use the numerical renormalization group…

Strongly Correlated Electrons · Physics 2009-11-10 Winfried Koller , Alex C. Hewson , Dietrich Meyer

A few exactly solvable interacting quantum many-body problems with impurities were previously reported to exhibit unusual features such as non-localization and absence of backscattering. In this work we consider the use of these integrable…

Mesoscale and Nanoscale Physics · Physics 2011-11-18 Marion Moliner , Peter Schmitteckert

Sub-wavelength arrays of quantum emitters offer an efficient free-space approach to coherent light-matter interfacing, using ultracold atoms or two-dimensional solid-state quantum materials. The combination of collectively suppressed…

Quantum Gases · Physics 2024-12-16 Simon Panyella Pedersen , Georg M. Bruun , Thomas Pohl

We study an Anderson impurity embedded in a d-wave superconductor carrying a supercurrent. The low-energy impurity behavior is investigated by using the numerical renormalization group method developed for arbitrary electronic bath spectra.…

Strongly Correlated Electrons · Physics 2013-05-30 Hua Chen , Yezheng Wu , Shuxiang Yang , Jianhui Dai , Jian-Xin Zhu

The capacitance between any two arbitrary lattice sites in an infinite square lattice is studied when one bond is removed (i.e. perturbed). A connection is made between the capacitance and the Lattice Green's Function of the perturbed…

General Physics · Physics 2009-05-04 J. H. Asad , R. S. Hijjawi , A. J. Sakaji , J. M. Khalifeh

An integral formulation for acoustic radiation in moving flows is presented. It is based on a potential formulation for acoustic radiation on weakly non-uniform subsonic mean flows. This work is motivated by the absence of suitable kernels…

Fluid Dynamics · Physics 2016-09-13 Simone Mancini , R. Jeremy Astley , Samuel Sinayoko , Gwenael Gabard , Michel Tournour

On the basis of the Green function method, analytical solutions of the diffusion equation which describes nonstationary migration of nonequilibrium interstitial impurity atoms have been derived. It is supposed that the initial distribution…

Materials Science · Physics 2008-09-09 O. I. Velichko , O. N. Burunova

The effect of substitution atoms on the energy spectrum and the electrical conductivity of graphene was investigated in a Lifshitz one-electron tight-binding model. It is established that the ordering of impurity atoms results in a gap in…

Strongly Correlated Electrons · Physics 2020-03-05 S. P. Repetsky , I. G. Vyshyvana , S. P. Kruchinin , R. M. Melnyk , A. P. Polishchuk

The goal of this paper is to provide an intuitive and useful tool for analyzing the impurity bound state problem. We develop a semiclassical approach and apply it to an impurity in two dimensional systems with parabolic or Dirac like bands.…

Disordered Systems and Neural Networks · Physics 2026-02-20 Kun W. Kim , T. Pereg-Barnea , G. Refael

The existence of robust chiral edge states in a finite topologically nontrivial chern insulator is a consequence of the bulk-boundary correspondence. In this paper, we present a theoretical framework based on lattice Green's function to…

Mesoscale and Nanoscale Physics · Physics 2020-03-25 M. Soltani , M. Amini

We develop Green's function formalism to describe continuous multi-layered quasi-one-dimensional setups described by piece-wise constant single-particle Hamiltonians. The Hamiltonians of the individual layers are assumed to be quadratic…

Mesoscale and Nanoscale Physics · Physics 2023-11-28 Kiryl Piasotski , Mikhail Pletyukhov , Alexander Shnirman

We develop a non-perturbative formulation based on the Green-function quantization method, that can describe spontaneous parametric down-conversion in the high-gain regime in nonlinear optical structures with arbitrary amount of loss and…

Quantum Physics · Physics 2023-12-13 Aleksa Krstić , Frank Setzpfandt , Sina Saravi

The strong electron correlations caused by Coulomb interaction of impurity electrons are taken into account. The infinite series of diagrams containing irreducible Green's functions are summed. For symmetric Anderson model we establish the…

Strongly Correlated Electrons · Physics 2007-05-23 V. A. Moskalenko , P. Entel , D. F. Digor , L. A. Dohotaru , R. Citro

We investigate theoretically non-magnetic impurity scattering in a one-dimensional atomic topological superfluid in harmonic traps, by solving self-consistently the microscopic Bogoliubov-de Gennes equation. In sharp contrast to…

Quantum Gases · Physics 2013-01-22 Xia-Ji Liu

We investigate time-resolved charge transport through graphene nanoribbons supplemented with adsorbed impurity atoms. Depending on the location of the impurities with respect to the hexagonal carbon lattice, the transport properties of the…

Mesoscale and Nanoscale Physics · Physics 2019-06-11 Riku Tuovinen , Michael A. Sentef , Claudia Gomes da Rocha , Mauro S. Ferreira

We study by NRG the spectral properties of a two-orbital Anderson impurity model in the presence of an exchange splitting which follows either regular or inverted Hund's rules. The phase diagram contains a non-Fermi liquid fixed point…

Strongly Correlated Electrons · Physics 2007-05-23 Lorenzo De Leo , Michele Fabrizio

Optical waveguides, covered with thin films, which transmittance can be controlled by external action, are widely used in various applications from optical modulators to saturable absorbers. It is natural to suggest that the waveguide…