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Related papers: Quasiparticle scattering from vortices in d-wave s…

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In the mixed state of a d-wave superconductor, Bogoliubov quasiparticles are scattered from magnetic vortices via a combination of two effects: Aharonov-Bohm scattering due to the Berry phase acquired by a quasiparticle upon circling a…

Superconductivity · Physics 2011-08-29 Sriram Ganeshan , M. Kulkarni , Adam C. Durst

We consider Dirac quasi-particles, as realized with cold atoms loaded in a honeycomb lattice or in a $\pi$-flux square lattice, in the presence of a weak correlated disorder such that the disorder fluctuations do not couple the two Dirac…

Disordered Systems and Neural Networks · Physics 2014-04-30 Kean Loon Lee , Benoît Grémaud , Christian Miniatura

We consider a Volovik's analog model for description of a topological defects in a superfluid and we investigate the scattering of quasiparticles in this background. The analog of the gravitational Aharonov-Bohm in this system is found. An…

General Relativity and Quantum Cosmology · Physics 2011-07-19 L. C. Garcia de Andrade , A. M. de M. Carvalho , C. Furtado

We carry out a quantum mechanical analysis of the behavior of nodal quasiparticles in the vortex line liquid phase of planar d-wave superconductors. Applying a novel path integral technique we calculate a number of experimentally relevant…

Condensed Matter · Physics 2009-11-07 D. V. Khveshchenko , A. G. Yashenkin

We study quasiparticle dynamics in a Bose-Einstein condensate with a vortex by following the center of mass motion of a Bogoliubov wavepacket, and find important Berry phase effects due to the background flow. We show that Berry phase…

Statistical Mechanics · Physics 2009-11-11 Chuanwei Zhang , Artem M. Dudarev , Qian Niu

The inelastic scattering rates of quasiparticles in a two-dimensional d-wave superconductor, which arise from interactions with either acoustic phonons or other quasiparticles, are calculated within second order perturbation theory. We…

Strongly Correlated Electrons · Physics 2007-08-29 J. Paaske , D. V. Khveshchenko

Massless Dirac particles are characterized by an effective pseudospin-momentum locking, which is the origin of the peculiar scattering properties of Dirac particles through potential barriers. This pseudospin-momentum locking also governs…

Mesoscale and Nanoscale Physics · Physics 2025-10-09 Lassaad Mandhour , Farah Bouhadida , Frédéric Piéchon

In light of recent proposals to realize a topological superconductor on the surface of strong topological insulators, we study impurity and vortex scattering in two dimensional topological superconductivity. We develop a theory of…

Superconductivity · Physics 2015-04-21 Aaron Farrell , Maxime Beaudry , M. Franz , T. Pereg-Barnea

In this work, we analyze the scattering of fermionic quasiparticles in the presence of radial disgyrations and symmetric vortices in the superfluid 3He-A. We consider a Volovik analog model for the description of these defects and…

Mesoscale and Nanoscale Physics · Physics 2025-03-12 Alexandre M. de M. Carvalho , Alisson S. Marques , Glauber T. Silva , Gabriel Q. Garcia , Claudio Furtado

We study quasiparticles of d-wave superconductors in the vortex lattice by self-consistently solving the Bogoliubov-de Gennes equations. It is found for a pure $d_{x^2-y^2}$ state that: (i) low-energy quasiparticle bands in the magnetic…

Superconductivity · Physics 2009-10-31 Kouji Yasui , Takafumi Kita

We theoretically investigate the quasiparticle scattering rate $\varGamma$ inside a vortex core in the existence of non-magnetic impurities distributed randomly in a superconductor. We show that the dependence of $\varGamma$ on the magnetic…

Superconductivity · Physics 2013-04-11 Yoichi Higashi , Yuki Nagai , Masahiko Machida , Nobuhiko Hayashi

We consider the vortex state of d-wave superconductors in the clean limit. Within the linearized approximation the quasiparticle bands obtained are found to posess Dirac cone dispersion (band touchings) at special points in the Brillouin…

Superconductivity · Physics 2009-11-07 Ashvin Vishwanath

We consider the problem of the vortex contribution to thermal properties of dirty d-wave superconductors. In the clean limit, Volovik has argued that the main contribution to the density of states in a d-wave superconductor arises from…

Superconductivity · Physics 2009-10-31 C. Kuebert , P. J. Hirschfeld

Scattering of a nonrelativistic quantum-mechanical particle by an impenetrable magnetic vortex is considered. The nonvanishing transverse size of the vortex is taken into account, and the limit of short, as compared to this size,…

Quantum Physics · Physics 2011-04-28 Yurii A. Sitenko , Nadiia D. Vlasii

The quasiparticle lifetime and the related transport relaxation times are the fundamental quantities which must be known in order to obtain a description of the transport properties of the high T_c superconductors. Studies of these…

Superconductivity · Physics 2009-10-31 M. B. Walker , M. F. Smith

Asymptotic analytic solutions of the Dirac equation, giving the scattering modes (of the continuous energy spectrum, $E>mc^2$) in Schwarzschild's chart and Cartesian gauge, are used for building the partial wave analysis of Dirac fermions…

General Relativity and Quantum Cosmology · Physics 2016-03-02 Ion I. Cotaescu , Cosmin Crucean , Ciprian A. Sporea

We consider an isolated vortex in the two-dimensional proximity-induced superconducting state formed at the interface of a three-dimensional strong topological insulator (TI) and an s-wave superconductor (sSC). Prior calculations of the…

Superconductivity · Physics 2016-03-09 Adam C. Durst

We investigate the scattering of a three-dimensional massless Dirac particle through a domain wall separating two regions with identical energy spectra but distinct Berry curvature dipoles. We demonstrate that the quantum geometric mismatch…

Mesoscale and Nanoscale Physics · Physics 2026-01-12 Lassaad Mandhour , Frédéric Piéchon

Quasiparticles in the vortex lattice of strongly type-II superconductors are investigated by means of a singular gauge transformation applied to the tight binding lattice Bogoliubov-de Gennes Hamiltonian. We present a detailed derivation of…

Superconductivity · Physics 2009-09-25 O. Vafek , A. Melikyan , M. Franz , Z. Tesanovic

We show that the low-energy density of quasiparticle states in the mixed state of ultra-clean d-wave superconductors is characterized by pronounced quantum oscillations in the regime where the cyclotron frequency $\hbar\omega_c \ll…

Superconductivity · Physics 2008-07-03 A. Melikyan , O. Vafek
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