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We consider an effect of weak impurities on electronic properties of graphene within the functional renormalization-group approach. The energy dependences of the electronic self-energy and density of states near the neutrality point are…

Strongly Correlated Electrons · Physics 2013-12-10 A. Katanin

We present a systematic study of electron backscattering phenomena during conduction for graphene nanoribbons with single-vacancy scatterers and dimensions within the capabilities of modern lithographic techniques. Our analysis builds upon…

Mesoscale and Nanoscale Physics · Physics 2010-02-24 I. Deretzis , G. Fiori , G. Iannaccone , A. La Magna

We study Umklapp couplings and their renormalisation group flow for electrons in a two dimensional lattice. It is shown that the effective low energy Hamiltonian involves not only forward scattering, but also considerable nonforward umklapp…

Condensed Matter · Physics 2007-05-23 Deepak Kumar , R. Rajaraman

We investigate the stability of conducting and insulating phases in multichannel Luttinger liquids with respect to embedding a single impurity. We devise a general approach for finding critical exponents of the conductance in the limits of…

Strongly Correlated Electrons · Physics 2017-05-24 V. Kagalovsky , I. V. Lerner , I. V. Yurkevich

We study four-lead junction of semi-infinite wires by using fermionic representation in the scattering state formalism. The model of spinless fermions with short-range Luttinger liquid type interaction is used. We find the renormalization…

Strongly Correlated Electrons · Physics 2015-11-10 D. N. Aristov , R. A. Niyazov

Anderson localization is a fundamental phenomenon in disordered quantum systems, where transport is suppressed by wave interference from extensive randomness. Moving beyond traditional multi-impurity scenarios, we investigate…

Disordered Systems and Neural Networks · Physics 2026-03-03 Niaz Ali Khan , Munsif Jan , Muzamil Shah , Muhammad Sajid , Muhammad Mateen , Mushtaq Ali

We solve the problem of electron scattering at a soft temporal potential step. Given the relativistic nature of the problem, we use the Dirac equation, with its spinor wavefunction. We find solutions in terms of hypergeometric functions,…

Quantum Physics · Physics 2024-03-21 Furkan Ok , Christophe Caloz

We study the effect of impurity scattering effect in black phosphorurene (BP) in this work. For single impurity, we calculate impurity induced local density of states (LDOS) in momentum space numerically based on tight-binding Hamiltonian.…

Mesoscale and Nanoscale Physics · Physics 2016-07-27 Y. L. Zou , J. T. Song , C. X. Bai , K. Chang

We examine the quality of the local self-energy approximation, applied here to models of multiple quantum impurities coupled to an electronic bath. The local self-energy is obtained by solving a single-impurity Anderson model in an…

Strongly Correlated Electrons · Physics 2015-10-05 Andrew K. Mitchell , Ralf Bulla

We studied low energy effects of impurities in several chiral 1D electron systems that contain only excitations moving in one direction. We first considered single-impurity scattering between two branches of 1D chiral Luttinger liquids. The…

Condensed Matter · Physics 2009-10-22 Xiao-Gang Wen

We develop a systematic perturbation theory for the quasiparticle properties of a single impurity immersed in a Bose-Einstein condensate. Analytical results are derived for the impurity energy, the effective mass, and residue to third order…

Quantum Gases · Physics 2015-10-20 Rasmus Søgaard Christensen , Jesper Levinsen , Georg M. Bruun

We study the transport properties of a quantum wire, described by the Tomonaga-Luttinger model, in the presence of a backscattering potential provided by several extended time-dependent impurities (barriers). Employing the B\"…

Strongly Correlated Electrons · Physics 2010-07-08 D. Makogon , V. Juricic , C. Morais Smith

We experimentally investigate the quantum motion of an impurity atom that is immersed in a strongly interacting one-dimensional Bose liquid and is subject to an external force. We find that the momentum distribution of the impurity exhibits…

We study the spin-dependent scattering of charge carriers in a magnetized one dimensional Luttinger liquid from a localized non-homogeneous magnetic field, which might be brought about by the stray field of magnetic tip near a uniform…

Strongly Correlated Electrons · Physics 2013-02-15 M. A. N Araujo , J. Berakdar , V. K. Dugaev , V. R. Vieira

We investigate the effect of both strong and weak potential scattering caused by local impurities and extended (line) defects in the array of Luttinger liquid wires. We find that in both cases a finite range inter-wire interaction…

Strongly Correlated Electrons · Physics 2017-10-10 A. L. Chudnovskiy , V. Kagalovsky , I. V. Yurkevich

We study the energy relaxation of quasiparticles in voltage biased mesoscopic wires in presence of magnetic impurities. The renormalization of the exchange interaction of Kondo impurities coupled to conduction electrons is extended to the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Georg Goeppert , Hermann Grabert

One considers the effect of disorder on the 2-dimensional density of states of an electron in a constant magnetic field superposed onto a Poissonnian random distribution of point vortices. If one restricts the electron Hilbert space to the…

The coherent reflectivity of a dense, relativistic, ultra-thin electron layer is derived analytically for an obliquely incident probe beam. Results are obtained by two-fold Lorentz transformation. For the analytical treatment, a plane…

Plasma Physics · Physics 2009-11-13 Hui-Chun Wu , Jürgen Meyer-ter-Vehn

We study a quantum quench in which a magnetic impurity is suddenly coupled to Hubbard chains, whose low-energy physics is described by Tomonaga-Luttinger liquid theory. Using the time-dependent density-matrix renormalization-group (tDMRG)…

Strongly Correlated Electrons · Physics 2021-03-31 Helena Bragança , Moallison F. Cavalcante , R. G. Pereira , Maria C. O. Aguiar

We calculate the conductance of a system of two spinless Luttinger liquid wires with different interaction strengths g_1, g_2, connected through a short junction, within the scattering state formalism. Following earlier work we formulate…

Strongly Correlated Electrons · Physics 2015-06-05 D. N. Aristov , P. Wölfle