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Impurities in a Fermi sea, or Fermi polarons, experience a Casimir interaction induced by quantum fluctuations of the medium. When there is short-range attraction between impurities and fermions, also the induced interaction between two…

We numerically study Friedel Oscillations and screening effect around a single impurity in one- and two-dimensional interacting lattice electrons. The interaction between electrons is accounted for by using a momentum independent…

Strongly Correlated Electrons · Physics 2015-06-05 Banhi Chatterjee , Krzysztof Byczuk

The impurity is inherently manifest in cuprate superconductors, as cation substitution or intercalation is necessary for the introduction of charge carriers, and its influence on the electronic state is at the heart of a great debate in…

Superconductivity · Physics 2022-08-22 Minghuan Zeng , Xiang Li , Yongjun Wang , Shiping Feng

The effect of non-magnetic impurities is discussed for both the two-leg Heisenberg ladder system and other spin liquids with excitation gap. It is shown that the random depletion of spins introduces a random Berry phase term to the…

Condensed Matter · Physics 2009-10-28 N. Nagaosa , A. Furusaki , M. Sigrist , H. Fukuyama

Quasiparticle Interference (QPI) imaging is a powerful tool for the study of the low energy electronic structure of quantum materials. However, the measurement of QPI by scanning tunneling microscopy (STM) is restricted to surfaces and is…

Strongly Correlated Electrons · Physics 2024-04-15 Luke C. Rhodes , Weronika Osmolska , Carolina A. Marques , Peter Wahl

Quantum magneto-oscillations provide a powerfull tool for quantifying Fermi-liquid parameters of metals. In particular, the quasiparticle effective mass and spin susceptibility are extracted from the experiment using the Lifshitz-Kosevich…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 G. W. Martin , D. L. Maslov , M. Yu. Reizer

We study the quantum interference between impurities in d-wave superconductors within a potential scattering formalism that easily applies to multiple impurities. The evolution of the low-energy local density of states for both magnetic and…

Superconductivity · Physics 2009-11-10 Brian M. Andersen , Per Hedegard

Helical edge states appear at the surface of two dimensional topological insulators and are characterized by spin up traveling in one direction and the spin down traveling in the opposite direction. Such states are protected by time…

Mesoscale and Nanoscale Physics · Physics 2018-10-24 Simon Wozny , Karel Vyborny , Wolfgang Belzig , Sigurdur I. Erlingsson

We calculate the frequency-dependent shot noise in the edge states of a two-dimensional topological insulator coupled to a magnetic impurity with spin $S=1/2$ of arbitrary anisotropy. If the anisotropy is absent, the noise is purely thermal…

Mesoscale and Nanoscale Physics · Physics 2019-01-15 K. E. Nagaev , S. V. Remizov , D. S. Shapiro

We use the framework set up recently to compute non-perturbatively inelastic scattering from quantum impurities [G. Zar\'and {\it et al.}, Phys. Rev. Lett. {\bf 93}, 107204 (2004)] to study the the energy dependence of the single particle…

Strongly Correlated Electrons · Physics 2007-06-18 L. Borda , L. Fritz , N. Andrei , G. Zarand

The particle wave duality sets a fundamental correspondence between optics and quantum mechanics. Within this framework, the propagation of quasiparticles can give rise to superposition phenomena which, like for electromagnetic waves, can…

We compute the (0-11) surface spectral function, the surface density of states (DOS), and the quasiparticle interference (QPI) patterns, both in the normal state and superconducting (SC) state of UTe$_2$. We consider all possible non-chiral…

We study theoretically by a quantum-mechanical approach the general scattering problem of a straight step defect on the surface of topological insulator $\mathrm{Bi}_{2}\mathrm{Te}_{3}$ with strong warping effect. At high energy where the…

Mesoscale and Nanoscale Physics · Physics 2012-10-24 Jin An , C. S. Ting

Motivated by the recent experiment by Marguerite et al. [1] on imaging in graphene samples, we investigate theoretically the dissipation induced by resonant impurities in the quantum Hall regime. The impurity induced forward scattering of…

Mesoscale and Nanoscale Physics · Physics 2020-03-25 Gu Zhang , Igor V. Gornyi , Alexander D. Mirlin

Dirac-like surface states on surfaces of topological insulators have a chiral spin structure that suppresses back-scattering and protects the coherence of these states in the presence of non-magnetic scatterers. In contrast, magnetic…

Strongly Correlated Electrons · Physics 2012-03-13 T. Valla , Z. -H. Pan , D. R. Gardner , Y. S. Lee , S. Chu

It is known that the presence of the Fermi sea modifies the scattering of an electron from a point-like impurity. This is due to the Friedel oscillations of the electron density around the impurity. These oscillations create an additional…

Mesoscale and Nanoscale Physics · Physics 2020-12-30 Nathan L. Foulk , M. E. Raikh

The indirect exchange interaction between magnetic impurities located in the bulk of a two-dimensional topological insulator decays exponentially with the distance. The indirect exchange interaction for magnetic impurities mediated by the…

Mesoscale and Nanoscale Physics · Physics 2017-04-05 V. D. Kurilovich , P. D. Kurilovich , I. S. Burmistrov

Based on the self-consistent $T$-matrix approximation, the quantum interference (QI) effect is studied with the diagrammatic technique in weakly-disordered two-dimensional crystals with nearly half-filled bands. In addition to the usual…

Superconductivity · Physics 2009-11-07 Y. H. Yang , D. Y. Xing , Y. G. Wang , M. Liu

Quasiparticle interference patterns measured by scanning tunneling microscopy (STM) can be used to study the local electronic structure of metal surfaces and high temperature superconductors. Here, we show that even in non-magnetic systems…

We examine the scattering behavior from a single non magnetic impurity in a helical liquid. A helical liquid is a one dimensional system with a pair of counter propagating edge states, which are time reversal partners. In the absence of a…

Mesoscale and Nanoscale Physics · Physics 2012-01-31 Natalie Lezmy , Yuval Oreg , Micha Berkooz