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The low-temperature behavior of the asymmetric single-impurity Anderson model is studied by diagrammatic methods resulting in analytically controllable approximations. We first discuss the ways one can simplify parquet equations in critical…

Strongly Correlated Electrons · Physics 2008-09-16 V Janis , P. Augustinsky

The coherent superposition of non-orthogonal fermionic Gaussian states has been shown to be an efficient approximation to the ground states of quantum impurity problems [Bravyi and Gosset,Comm. Math. Phys.,356 451 (2017)]. We present a…

Strongly Correlated Electrons · Physics 2021-09-01 Samuel Boutin , Bela Bauer

We investigate finite two-dimensional disordered systems with periodic confinement. At low energies, eigenstates exhibit strong Anderson localization, while at higher energies a subset of states exhibits variational scarring with…

Quantum Physics · Physics 2026-05-28 Fartash Chalangari , Anant Vijay Varma , Joonas Keski-Rahkonen , Esa Räsänen

The spatial localization of quantum states plays a central role in condensed-matter phenomena, ranging from many-body localization to topological matter. Building on the dissipation-fluctuation theorem, we propose that the localization…

Mesoscale and Nanoscale Physics · Physics 2019-11-20 Tomoki Ozawa , Nathan Goldman

A simple approach to estimation of the ground state energy of quantum antiferromagnets is developed, based on the approximation that quantum fluctuations around different bonds are independent. The ground state energy estimates are as good…

Strongly Correlated Electrons · Physics 2013-08-27 Christian Rischel

We consider a quantum impurity model in which a bosonic impurity level is coupled to a non-interacting bosonic bath, with the bosons at the impurity site subject to a local Coulomb repulsion U. Numerical renormalization group calculations…

Statistical Mechanics · Physics 2007-05-23 Hyun-Jung Lee , Ralf Bulla

Quantum fluctuations or other moments of a state contribute to energy expectation values and can imply interesting physical effects. In quantum cosmology, they turn out to be important for a discussion of density bounds and instabilities of…

General Relativity and Quantum Cosmology · Physics 2014-07-02 Martin Bojowald

We investigate the spin of the ground state of a geometrically confined many-electron system. For atoms, shell structure simplifies this problem-- the spin is prescribed by the well-known Hund's rule. In contrast, quantum dots provide a…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 H. U. Baranger , D. Ullmo , L. I. Glazman

We study a single impurity effect on the local density of states in a d-wave superconductor accounting for the momentum-dependent impurity potential. We show that the anisotropy of the scattering potential can alter significantly the…

Superconductivity · Physics 2015-06-24 P. Pisarski , G. Haran

We argue that because of valence-fluctuation caused dynamical changes (fluctuations) of impurity energies in an impurity band of valence fluctuating semiconductors both occupied and unoccupied sites can be found in the impurity band above…

Strongly Correlated Electrons · Physics 2018-11-02 I. Batko , M. Batkova

Defects in graphene are of crucial importance for its electronic and magnetic properties. Here impurity effects on the electronic structure of surrounding carbon atoms are considered and the distribution of the local densities of states…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 T. O. Wehling , A. V. Balatsky , M. I. Katsnelson , A. I. Lichtenstein , K. Scharnberg , R. Wiesendanger

The description of the dynamics of correlated electrons in quantum impurity models is typically described within the nonequilibrium Green function formalism combined with a suitable approximation. One common approach is based on the…

Strongly Correlated Electrons · Physics 2013-06-26 Tal J. Levy , Eran Rabani

The Anderson model serves to study the absence of wave propagation in a medium in the presence of impurities, and is one of the most studied examples in the theory of quantum disordered systems. In these notes we give a review of the…

Mathematical Physics · Physics 2018-07-31 Constanza Rojas-Molina

It is discussed the decoherence problems in ensemble large-scale solid state NMR quantum computer based on the array of P donor atoms having nuclear spin I = 1/2. It is considered here, as main mechanisms of decoherence for low temperature…

Quantum Physics · Physics 2009-11-07 A. A. Kokin

It has been recently suggested that when an Anderson impurity is immersed in the bulk of a topological insulator, a Kondo resonant peak will appear simultaneously with an in-gap bound-state when the band-dispersion has an…

Strongly Correlated Electrons · Physics 2014-01-07 Igor Kuzmenko , Yshai Avishai , Tai Kai Ng

Quantum weak energy inequalities have recently been extensively discussed as a condition on the dynamical stability of quantum field states, particularly on curved spacetimes. We formulate the notion of a quantum weak energy inequality for…

Mathematical Physics · Physics 2009-11-07 Christopher J. Fewster , Rainer Verch

Revised version, a few typing errors that might cause confusion of physics argument in the article have been corrected.

Condensed Matter · Physics 2009-10-22 D. F. Wang , C. Gruber

Considering the interband correlation, we present a generalized multiple-scattering approach of Green's function to investigate the effects of electron-impurity scattering on the density of states in silicene. The reduction of energy gaps…

Materials Science · Physics 2017-01-04 S. Y. Liu , Y. C. Zeng , X. L. Lei

In view of promising applications of fractal nanostructures, we analyze the spectra of quantum particles in the Sierpinski carpet and study the non-correlated electron gas in this geometry. We show that the spectrum exhibits scale…

Mesoscale and Nanoscale Physics · Physics 2015-03-27 Alberto Hernando , Miroslav Sulc , Jiri Vanicek

We investigate the effect of many-body interactions on the optical absorption spectrum of a charge-tunable quantum dot coupled to a degenerate electron gas. A constructive Fano interference between an indirect path, associated with an intra…

Mesoscale and Nanoscale Physics · Physics 2013-11-06 F. Haupt , S. Smolka , M. Hanl , W. Wüster , J. Miguel-Sanchez , A. Weichselbaum , J. von Delft , A. Imamoglu