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Qualitative features of the mean-field theory of superconductivity in a strongly disordered systems of fermions with short-range attraction are discussed. In this limit the effective theory is entirely bosonic, and I consider both the…

Superconductivity · Physics 2009-10-31 Igor F. Herbut

We show how certain properties of the Anderson model on a tree are related to the solutions of a non-linear integral equation. Whether the wave function is extended or localized, for example, corresponds to whether or not the equation has a…

Condensed Matter · Physics 2009-10-22 J. Miller , B. Derrida

Superconductivity has been induced in insulating ultra-thin films of amorphous bismuth using the electric field effect. The screening of electron-electron interaction was found to increase with electron concentration in a manner correlated…

The current study is motivated by a difficulty to reconcile between particle number conservation and superconductivity. An alternative modeling, which is based on the hypothesis that disentanglement spontaneously ocuurs in quantum systems,…

Quantum Physics · Physics 2025-05-28 Eyal Buks

We investigate the system of a heavy impurity embedded in a paired two-component Fermi gas at the crossover from a Bose-Einstein condensate (BEC) to a Bardeen--Cooper--Schrieffer (BCS) superfluid via an extension of the functional…

Quantum Gases · Physics 2022-07-22 Jia Wang , Xia-Ji Liu , Hui Hu

Influence of disorder on the temperature of superconducting transition (T_c) is studied within the sigma-model renormalization group framework. Electron-electron interaction in particle-hole and Cooper channels is taken into account and…

Mesoscale and Nanoscale Physics · Physics 2012-01-10 I. S. Burmistrov , I. V. Gornyi , A. D. Mirlin

A particle-hole symmetric Anderson impurity model with a metallic host of narrow bandwidth is studied within the framework of the local moment approach. The resultant single-particle spectra are compared to unrestricted Hartree-Fock, second…

Strongly Correlated Electrons · Physics 2015-05-28 Steffen Schäfer

Conserved directed-percolation (C-DP) and the depinning transition of a disordered elastic interface belong to the same universality class as has been proven very recently by Le Doussal and Wiese [Phys. Rev. Lett.~\textbf{114}, 110601…

Statistical Mechanics · Physics 2016-11-23 Hans-Karl Janssen , Olaf Stenull

A brief history of the impurity theories in semiconductors is provided. A bound exciton model is proposed for both donor- and acceptor- like impurities and point defects, which offers a unified understanding for "shallow" and "deep"…

Materials Science · Physics 2020-06-02 Yong Zhang

We consider the universal scaling behaviour of the Kondo resonance in the strong coupling limit of the symmetric Anderson impurity model, using a recently developed local moment approach. The resultant scaling spectrum is obtained in closed…

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

Possibility of superconductivity from electron repulsion in the Shastry-Sutherland lattice, which has a spin gap at half filling, is explored with the repulsive Hubbard model in the fluctuation-exchange approximation. We find that, while…

Superconductivity · Physics 2009-11-10 Takashi Kimura , Kazuhiko Kuroki , Ryotaro Arita , Hideo Aoki

The microscopic theory of superconducting (SC) state in the SU(2) slave-boson model is developed. We show how the pseudogap and Fermi surface (FS) segments in the normal state develop into a d-wave gap in the superconducting state. Even…

Strongly Correlated Electrons · Physics 2016-08-31 Xiao-Gang Wen , Patrick A. Lee

The effect of conduction electron interactions for an Anderson impurity is investigated in one dimension using a scaling approach. The flow diagrams are obtained by solving the renormalization group equations numerically. It is found that…

Condensed Matter · Physics 2009-10-28 Yanmin Li

We consider the dynamics of an electron in an infinite disordered metallic wire. We derive exact expressions for the probability of diffusive return to the starting point in a given time. The result is valid for wires with or without…

Mesoscale and Nanoscale Physics · Physics 2017-11-15 E. Khalaf , P. M. Ostrovsky

A unified theory is outlined for the cuprates, Fe-based, and related superconductors. Their low-energy excitations are approached in terms of auxiliary particles representing combinations of atomic-like electron configurations, and the…

Superconductivity · Physics 2008-12-01 J. Ashkenazi

A novel approach to the description of superconductors in thermal equilibrium is developed within a formally exact density-functional framework. The theory is formulated in terms of three ``densities'': the ordinary electron density, the…

Superconductivity and magnetism are usually the conflicting (competing) phenomena. We show, however, that in nanoscopic objects the electron pairing may promote the magnetic ordering. Such situation is possible at low temperatures in the…

Superconductivity · Physics 2016-03-22 T. Domanski , I. Weymann , M. Baranska , G. Gorski

Anderson has recently proposed a theory of the strange metal state above Tc in the high Tc superconductors. [arXiv:cond-mat/0512471] It is based on the idea that the unusual transport properties and spectral functions are caused by the…

Strongly Correlated Electrons · Physics 2015-05-13 Philip A. Casey , J. D. Koralek , D. S. Dessau , Philip W. Anderson

Using a generalization of the non-crossing approximation which incorporates Andreev reflection, we study the properties of an infinite-U Anderson impurity coupled to two superconducting leads. In the regime where $\Delta$ and $T_K$ are…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Aashish A. Clerk , Vinay Ambegaokar

We analyse here the role electrons on Anderson-U impurities play in superconductivity in a metal alloy. We find that phonon coupling at impurities counteracts the traditional effects which dominate T_c suppression in the non-magnetic limit.…

Strongly Correlated Electrons · Physics 2009-10-30 Ivar Martin , Philip Phillips