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We perform large-scale numerical calculations self-consistently solving the Bogoliubov-de Gennes (BdG) equations in the magnetic field together with random impurities to directly demonstrate the typical quasi-particle interference (QPI) in…

Superconductivity · Physics 2012-03-23 Yuki Nagai , Noriyuki Nakai , Masahiko Machida

Introducing nanoparticles into superconducting materials has emerged as an efficient route to enhance their current-carrying capability. We address the problem of optimizing vortex pinning landscape for randomly distributed metallic…

Superconductivity · Physics 2016-03-09 A. E. Koshelev , I. A. Sadovskyy , C. L. Phillips , A. Glatz

By spatially mapping the Doppler effect of an in-plane magnetic field on the quasiparticle tunneling spectrum, we have laterally imaged the vortex lattice in superconducting 2H-NbSe2. Cryomagnetic scanning tunneling spectroscopy was…

Superconductivity · Physics 2015-05-30 I. Fridman , C. Kloc , C. Petrovic , J. Y. T. Wei

Topological superconductors, such as noncentrosymmetric superconductors with strong spin-orbit coupling, exhibit protected zero-energy surface states, which possess an intricate helical spin structure. We show that this nontrival spin…

Superconductivity · Physics 2013-10-10 Johannes S. Hofmann , Raquel Queiroz , Andreas P. Schnyder

Focusing on a quantum-limit behavior, we study a single vortex in a clean s-wave type-II superconductor by self-consistently solving the Bogoliubov-de Gennes equation. The discrete energy levels of the vortex bound states in the quantum…

Superconductivity · Physics 2016-08-31 N. Hayashi , T. Isoshima , M. Ichioka , K. Machida

In the vortex state of a d-wave superconductor, massless Dirac quasiparticles are scattered from magnetic vortices via a combination of two basic mechanisms: effective potential scattering due to the superflow swirling about the vortices…

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

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

We study the Ginzburg-Landau equations in order to describe a two-dimensional superconductor in a bounded domain. Using the properties of a particular integrability point ($\kappa = 1/ \sqrt2$) of these nonlinear equations which allows…

Superconductivity · Physics 2009-10-31 E. Akkermans , K. Mallick

Quasicrystals are long-range ordered but not periodic, representing an interesting middle ground between order and disorder. We experimentally and numerically study the ground state of non- and weakly-interacting bosons in an eightfold…

Strong evidence is presented for the localization of low energy quasiparticle states in disordered $d$-wave superconductors. Within the framework of the Bogoliubov-de Gennes (BdG) theory applied to the extended Hubbard model with a finite…

Condensed Matter · Physics 2009-10-28 M. Franz , C. Kallin , A. J. Berlinsky

Stable vortex states are studied in large superconducting thin disks (for numerical purposes we considered with radius R = 50 \xi). Configurations containing more than 700 vortices were obtained using two different approaches: the nonlinear…

Superconductivity · Physics 2009-11-10 L. R. E. Cabral , B. J. Baelus , F. M. Peeters

We present a rigorous proof that under a number-conserving Hamiltonian, one-body quasi-particles generally possess quantized charge and inertial mass identical to the bare particles. It follows that, Bogoliubov zero modes in the vortex (or…

Strongly Correlated Electrons · Physics 2025-10-14 Zhiyu Fan , Wei Ku

Disordered superconductors offer new impedance regimes for quantum circuits, enable a pathway to protected qubits, and can improve superconducting detectors due to their high kinetic inductance and sheet resistance. The performance of these…

Quasiparticle transport in the vortex state of an s-wave superconductor at T -> 0 was investigated by measuring the thermal conductivity of LuNi_2B_2C down to 70 mK in a magnetic field perpendicular to the heat current. In zero field, there…

Superconductivity · Physics 2007-05-23 Etienne Boaknin , R. W. Hill , Cyril Proust , C. Lupien , Louis Taillefer , P. C. Canfield

The observation of vortices in superconductors was a major breakthrough in developing the conceptual background for superconducting applications. Each vortex carries a flux quantum, and the magnetic field radially decreases from the center.…

Superconductivity · Physics 2016-06-22 H. Suderow , I. Guillamon , J. G. Rodrigo , S. Vieira

Thermodynamics of type II superconductors in electromagnetic field based on the Ginzburg - Landau theory is presented. The Abrikosov flux lattice solution is derived using an expansion in a parameter characterizing the "distance" to the…

Superconductivity · Physics 2015-05-13 Baruch Rosenstein , Dingping Li

The momentum dependence of the low energy quasiparticle spectrum and the related Bogoliubov angle in cuprate superconductors are studied within the kinetic energy driven superconducting mechanism. By calculation of the ratio of the low…

Superconductivity · Physics 2009-12-23 Weifang Wang , Zhi Wang , Jingge Zhang , Shiping Feng

A scattering approach to entanglement in mesoscopic conductors with independent fermionic quasiparticles is discussed. We focus on conductors in the tunneling limit, where a redefinition of the quasiparticle vacuum transforms the…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 P. Samuelsson , E. V. Sukhorukov , M. Buttiker

Qubits based on Majorana zero modes are a promising path towards topological quantum computing. Such qubits, though, are susceptible to quasiparticle poisoning which does not have to be small by topological argument. We study the main…

Mesoscale and Nanoscale Physics · Physics 2021-02-10 Torsten Karzig , William S. Cole , Dmitry I. Pikulin

Experiments have observed superconductivity in atomically-thin metallic layers deposited on semiconducting substrates. As in any superconductor, it is important to determine the structure of the superconducting pairing function in order to…

Superconductivity · Physics 2023-05-19 B. A. Levitan , J. Eid , T. Pereg-Barnea