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We introduce an integrable impurity model in which both electrons and impurity have spin and flavour degrees of freedom. This model is a generalization of the multi-channel Kondo model and closely related with resonant tunneling through…

Strongly Correlated Electrons · Physics 2009-10-31 Osamu Tsuchiya , Ikuo Ichinose , Yasuyuki Kayama

An integrable Anderson-like impurity model in a correlated host is derived from a gl(2$|$1)-symmetric transfer matrix by means of the Quantum-Inverse-Scattering-Method (QISM). Using the Quantum Transfer Matrix technique, free energy…

Strongly Correlated Electrons · Physics 2009-11-10 Michael Bortz , Andreas Kluemper

While standard scaling arguments show that a system of non-interacting electrons in two dimensions and in the presence of uncorrelated disorder is insulating, in this work we discuss the case where inter-impurity correlations are included.…

Disordered Systems and Neural Networks · Physics 2009-11-10 M. Hilke

We study scattering of a composite quasiparticle, which possesses a degree of freedom corresponding to relative separation between two bound excitations, by a delta-like impurity potential on a one-dimensional discrete lattice. Firstly, we…

Quantum Physics · Physics 2017-09-06 Fumika Suzuki , Marina Litinskaya , William G. Unruh

A definition of topological phases of density matrices is presented. The topological invariants in case of both noninteracting and interacting systems are extended to nonzero temperatures. Influence of electron interactions on topological…

Strongly Correlated Electrons · Physics 2015-09-03 Damian Zdulski , Krzysztof Byczuk

We solve the two-channel Anderson impurity model using the Bethe-Ansatz. We determine the ground state and derive the thermodynamics, obtaining the impurity entropy and specific heat over the full range of temperature. We show that the low…

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

We consider a one-dimensional (1D) wire along which single conduction electrons can propagate in the presence of two spin-1/2 magnetic impurities. The electron may be scattered by each impurity via a contact-exchange interaction and thus a…

Quantum Physics · Physics 2009-11-13 F. Ciccarello , G. M. Palma , M. Zarcone , Y. Omar , V. R. Vieira

The zero gap surface states of a 3D-topological insulator host highly mobile Dirac fermions with spin locked to the momentum. The high mobility attributed to absence of back scattering is reduced in presence of impurities on the surface. In…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 Parijat Sengupta , Enrico Bellotti

A topological insulator is classically modeled as an isotropic dielectric-magnetic with a magnetoelectric pseudoscalar $\Psi$ existing in its bulk while its surface is charge-free and current-free. An alternative model is obtained by…

Optics · Physics 2017-07-06 Akhlesh Lakhtakia , Tom G. Mackay

We study the property of a magnetic impurity on a single-layer graphene within an Anderson impurity model. Due to the vanishing local density of states at the Fermi level in graphene, the impurity spin cannot be effectively screened out.…

Strongly Correlated Electrons · Physics 2011-06-30 Chunhua Li , Jian-Xin Zhu , C. S. Ting

Local quantum criticality in itinerant fermion systems has been extensively investigated through the soft-gap Anderson impurity model, wherein a localized, correlated impurity, hybridizes with a broad conduction band with a singular,…

Strongly Correlated Electrons · Physics 2024-10-21 Sujan K. K. , Vinayak M. Kulkarni , N. S. Vidhyadhiraja , Sudeshna Sen

We discuss the "exhaustion" problem in the context of the Periodic Anderson Model using Iterated Perturbation Theory(IPT) within the Dynamical Mean Field Theory. We find that, despite its limitations, IPT captures the exhaustion physics,…

Strongly Correlated Electrons · Physics 2009-10-31 N. S. Vidhyadhiraja , A. N. Tahvildar-Zadeh , Mark Jarrell , H. R. Krishnamurthy

We construct a theory of charge transport by the surface states of topological insulators in three dimensions. The focus is on the experimentally relevant case when the electron doping is such that the Fermi energy $\epsilon_F$ and…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 Dimitrie Culcer , E. H. Hwang , Tudor D. Stanescu , S. Das Sarma

We demonstrate that electrostatic interactions between helical electrons at the edge of a quantum spin Hall insulator and a dynamical impurity can induce quasi-elastic backscattering. Modelling the impurity as a two-level system, we show…

Mesoscale and Nanoscale Physics · Physics 2021-07-07 Max McGinley , Nigel R. Cooper

The diluted Kondo lattice model is investigated at strong antiferromagnetic local exchange couplings J, where almost local Kondo clouds drastically restrict the motion of conduction electrons, giving rise to the possibility of quantum…

Quantum Gases · Physics 2015-01-06 Andrej Schwabe , Mirek Hänsel , Michael Potthoff

We study the local density of states around potential scatterers in d-wave superconductors, and show that quantum interference between impurity states is not negligible for experimentally relevant impurity concentrations. The two impurity…

Superconductivity · Physics 2009-11-10 W. A. Atkinson , P. J. Hirschfeld , Lingyin Zhu

We investigate magnetic properties induced by a spinless impurity in strongly correlated electron systems, i.e. the Hubbard model in the spatial dimension $D=1,2,$ and 3. For the 1D system exploiting the Bethe ansatz exact solution we find…

Strongly Correlated Electrons · Physics 2009-10-31 Satoshi Fujimoto

Periodic Hamiltonians on a three-dimensional (3-D) lattice with a spectral gap not only on the bulk but also on two edges at the common Fermi level are considered. By using K-theory applied for the quarter-plane Toeplitz extension, two…

Mathematical Physics · Physics 2018-10-18 Shin Hayashi

We consider a symmetric Anderson impurity model, with a soft-gap hybridization vanishing at the Fermi level with a power law r > 0. Three facets of the problem are examined. First the non-interacting limit, which despite its simplicity…

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

Topological insulators are insulating bulk materials hosting conducting surface states. Their magnetic doping breaks time-reversal symmetry and generates numerous interesting effects such as dissipationless transport. Nonetheless, their…

Mesoscale and Nanoscale Physics · Physics 2019-05-15 Juba Bouaziz , Manuel dos Santos Dias , Filipe Souza Mendes Guimarães , Samir Lounis