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Impurity scattering in the unitary limit produces low energy quasiparticles with anisotropic spectrum in a two-dimensional $d$-wave superconductor. We describe a new {\em quasi-one-dimensional } limit of the quasiparticle scattering, which…

Condensed Matter · Physics 2016-08-31 A. V. Balatsky , A. Rosengren , B. L. Altshuler

We consider the effect of non-magnetic impurities in a $d_{x^2 - y^2}$ superconductor with $\ef$ close to a van Hove singularity. It is shown that the non-trivial density of states (DOS) allows for resonant scattering already at…

Condensed Matter · Physics 2009-10-28 Roland Fehrenbacher

The scattering of a flying photon by a two-level system ultrastrongly coupled to a one-dimensional photonic waveguide is studied numerically. The photonic medium is modeled as an array of coupled cavities and the whole system is analyzed…

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 analyze the scattering rate for 2D fermions interacting via soft nematic fluctuations. The ground state is an s-wave superconductor, but other pairing channels are almost equally attractive. This strongly alters the scattering rate: At…

Superconductivity · Physics 2022-01-10 Dimitri Pimenov , Alex Kamenev , Andrey V. Chubukov

Band theory predicts an inverse square root van Hove singularity in the tunneling density of states at the minimum energy of an unoccupied subband in a one-dimensional quantum wire. With interactions, an orthogonality catastrophe analogous…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Leon Balents

Electronic instabilities at the crossing of the Fermi energy with a Van Hove singularity in the density of states often lead to new phases of matter such as superconductivity, magnetism or density waves. However, in most materials this…

Mesoscale and Nanoscale Physics · Physics 2011-04-18 Guohong Li , A. Luican , J. M. B. Lopes dos Santos , A. H. Castro Neto , A. Reina , J. Kong , E. Y. Andrei

We consider the reflection of a photon by a two-level system in a quasi-one-dimensional waveguide. This is important in part because it forms the backdrop for more complicated proposals where many emitters are coupled to the waveguide:…

Optics · Physics 2024-12-18 Ben Lang , Edmund Harbord , Ruth Oulton

Scattering off a potential is a fundamental problem in quantum physics. It has been studied extensively with amplitudes derived for various potentials. In this article, we explore a setting with no potentials, where scattering occurs off a…

Quantum Gases · Physics 2025-04-21 Eric Tan , R. Ganesh

The calculations of the local and global properties of two band superconductors have been presented with particular attention to the role of the inter-orbital scattering of pairs. The properties of such superconductors are very different…

Superconductivity · Physics 2009-12-23 Anna Ciechan , Karol I. Wysokinski

The quasiparticle scattering interference phenomenon characterized by the peaks in the local density of states is studied within the kinetic energy driven superconducting mechanism in the presence of a single impurity. By calculation of the…

Superconductivity · Physics 2010-07-13 Zhi Wang , Bin Liu , Shiping Feng

A theory for the effect of impurity scattering on electronic Raman scattering in unconventional superconductors is presented. The impurity dependence of the the spectra can be used to to distinguish between conventional (anisotropic…

Condensed Matter · Physics 2009-10-22 T. P. Devereaux

A many-body system of fermion atoms with a model interaction characterized by the scattering length $a$ is considered. We treat both $a$ and the density as parameters assuming that the system can be created artificially in a trap. If $a$ is…

Statistical Mechanics · Physics 2009-11-07 M. Ya. Amusia , A. Z. Msezane , V. R. Shaginyan

We calculate the quasiparticle scattering rate in the superconducting state of the overdoped cuprates, in the context of the Eliashberg formalism for a Fermi liquid with strong van Hove singularities close to the chemical potential. For a…

Superconductivity · Physics 2009-11-10 George Kastrinakis

The vast majority of superconductors have more than one Fermi surface, on which the electrons pair below the critical temperature $T_C$, yet their superconducting behavior can be well described by a single-band Bardeen-Cooper-Schrieffer…

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…

Recent studies of transport phenomena with complex potentials are explained by generic square root singularities of spectrum and eigenfunctions of non-Hermitian Hamiltonians. Using a two channel problem we demonstrate that such…

Quantum Physics · Physics 2010-05-04 W. D. Heiss , R. G. Nazmitdinov

We investigate the scattering of a quantum particle with a two-dimensional (2D) Rashba spin-orbit coupled dispersion off of circularly symmetric potentials. As the energy of the particle approaches the bottom of the lowest spin-split band,…

Mesoscale and Nanoscale Physics · Physics 2017-09-20 Joel Hutchinson , Joseph Maciejko

The effect of quasi-particle (QP) 'scattering' by the vortex lattice on the de-Haas van-Alphen oscillations in a pure type-II superconductor is investigated within mean field,asymptotic perturbation theory. Using a 2D electron gas model it…

Superconductivity · Physics 2009-10-30 V. N. Zhuravlev , T. Maniv , I. D. Vagner , P. Wyder

The creation of artificial gauge fields in neutral ultracold atom systems has opened the possibility to study the effects of spin-orbit coupling terms in clean environments. This work considers the multi-channel scattering properties of two…

Atomic Physics · Physics 2018-09-12 Su-Ju Wang , Q. Guan , D. Blume