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The movement of magnetic flux quanta (Abrikosov vortices) in superconductors leads to dissipation and is influenced by various ordering effects arising from vortex-vortex, vortex-defect, and vortex-edge interactions. Under combined dc and…

Superconductivity · Physics 2025-03-11 Igor Bogush , Vladimir M. Fomin , Oleksandr V. Dobrovolskiy

We show that transport and thermodynamic properties of \emph{singly-connected} disordered conductors exhibit quantum Aharonov - Bohm oscillations with the total magnetic flux through the system. The oscillations are associated with the…

Mesoscale and Nanoscale Physics · Physics 2015-03-05 I. L. Aleiner , A. V. Andreev , V. Vinokur

We study conductance fluctuations in disordered quantum wires with unitary symmetry focusing on the case in which the number of conducting channels in one propagating direction is not equal to that in the opposite direction. We consider…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Yositake Takane , Katsunori Wakabayashi

We study the transport properties of an Aharonov-Bohm ring containing two quantum dots. One of the dots has well-separated resonant levels, while the other is chaotic and is treated by random matrix theory. We find that the conductance…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Kazutaka Takahashi , Tomosuke Aono

The magnetic response is a state-defining property of superconductors. The magnetic flux penetrates type-II bulk superconductors by forming quantum vortices when the enclosed magnetic flux is equal to the magnetic flux quantum. The flux…

Superconductivity · Physics 2023-06-06 Yusuke Iguchi , Ruby Shi , Kunihiro Kihou , Chul-Ho Lee , Vadim Grinenko , Egor Babaev , Kathryn A. Moler

We theoretically investigate the vortex spin Hall effect, i.e., a novel spin Hall effect driven by the motion of superconducting vortices, by focusing on the role of superconducting fluctuations. Within the BCS-Gor'kov microscopic approach…

Superconductivity · Physics 2021-04-15 Takuya Taira , Yusuke Kato , Masanori Ichioka , Hiroto Adachi

We calculate fluctuation corrections to the longitudinal conductivity of disordered superconductors subject to an external magnetic field. We derive analytic expressions that are valid in the entire metallic part of the temperature-magnetic…

Mesoscale and Nanoscale Physics · Physics 2013-08-07 Brian Tarasinski , Georg Schwiete

The dynamics of Abrikosov vortices in superconductors is usually limited to vortex velocities $v\simeq1$ km/s above which samples abruptly transit into the normal state. In the Larkin-Ovchinnikov framework, near the critical temperature…

Superconductivity · Physics 2019-05-27 O. V. Dobrovolskiy , V. M. Bevz , E. Begun , R. Sachser , R. V. Vovk , M. Huth

An Abrikosov vortex in a superconductor carries a flux quantum, Phi_0 = hc/2e, localized at its center, but induces a global 2pi phase rotation in the superconducting condensate. This long-range gauge field outside the area pierced by a…

Superconductivity · Physics 2015-05-18 Taras Golod , Andreas Rydh , Vladimir M. Krasnov

Universal conductance fluctuations in disordered systems are one of the most known quantum mesoscopic effects. For ballistic cavity with smooth confining potential however, one should observe a much larger classical sample-to-sample…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 P. G. Silvestrov

We derive the fluctuational magnetization and the paraconductivity of Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) superconductors in their normal state. The FFLO superconducting fluctuations induce oscillations of the magnetization between…

Superconductivity · Physics 2009-07-04 François Konschelle , Jérôme Cayssol , Alexandre I. Buzdin

We calculate the local density of states of a vortex in a two-dimensional s-wave superconductor, in the presence of a uniform applied supercurrent. The supercurrent induces changes in the electronic structure for the isolated vortex as well…

Superconductivity · Physics 2013-10-24 C. Berthod

It is shown that the order parameter $\Delta$ induced in the normal part of superconductor-normal-superconductor proximity system is modulated in the magnetic field differently from vortices in bulk superconductors. Whereas $\Delta$ turns…

Superconductivity · Physics 2015-06-11 V. G. Kogan

Motivated by recent experiments by Den Hartog et al., we present a random-matrix theory for the magnetoconductance fluctuations of a chaotic quantum dot which is coupled by point contacts to two superconductors and one or two normal metals.…

Condensed Matter · Physics 2007-05-23 P. W. Brouwer , C. W. J. Beenakker

The understanding of disorder has profoundly influenced the development of condensed matter physics, explaining such fundamental effects as, for example, the transition from ballistic to diffusive propagation, and the presence of quantized…

Superconductivity · Physics 2016-12-19 Maria N. Gastiasoro , Fabio Bernardini , Brian M. Andersen

In this brief tutorial review, I show how phase coherent properties of disordered conductors can be described in a simple and unified way. These properties include transport properties like weak-localization correction and universal…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Gilles Montambaux

Quantum-mechanical theory for scattering of nonrelativistic charged particles with spin by a penetrable magnetic vortex is elaborated. The scattering differential cross section is shown to consist of two terms, one describing diffraction on…

Quantum Physics · Physics 2014-11-18 Yurii A. Sitenko

The effect of fluctuations on the transport and thermodynamic properties of two-dimensional superconductors in a magnetic field is studied at low temperature. The fluctuation conductivity is calculated in the framework of the perturbation…

Superconductivity · Physics 2009-10-31 Victor Galitski , A. I. Larkin

We study the statistical fluctuations of the Casimir potential felt by an atom approaching a dielectric disordered medium. Starting from a microscopic model for the disorder, we calculate the variance of potential fluctuations in the limit…

Quantum Physics · Physics 2015-04-15 Nicolas Cherroret , Romain Guérout , Astrid Lambrecht , Serge Reynaud

Magneto-oscillations in kinetic and magnetic response functions of a few underdoped cuprates are perhaps one of the most striking observations since many probes of underdoped cuprates clearly point to a non Fermi-liquid normal state. Their…

Superconductivity · Physics 2009-11-13 A. S. Alexandrov