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This lecture is a tutorial introduction to coherent effects in disordered electronic systems. Avoiding technicalities as most as possible, I present some personal points of view to describe well-known signatures of phase coherence like weak…

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

It has been predicted that superconducting vortices should be electrically charged and that this effect is particularly enhanced for, high temperature superconductors.\cite{kho95,bla96} Hall effect\cite{hag91} and nuclear magnetic resonance…

Superconductivity · Physics 2015-05-20 A. M. Mounce , S. Oh , S. Mukhopadhyay , W. P. Halperin , A. P. Reyes , P. L. Kuhns , K. Fujita , M. Ishikado , S. Uchida

We propose a two-path vortex interferometry experiment based on the Aharonov-Casher effect for detecting the non-Abelian nature of vortices in a chiral p-wave superconductor. The effect is based on observing vortex interference patterns…

Superconductivity · Physics 2011-08-08 Eytan Grosfeld , Babak Seradjeh , Smitha Vishveshwara

Universal conductance fluctuations are usually observed in the form of aperiodic oscillations in the magnetoresistance of thin wires as a function of the magnetic field B. If such oscillations are completely random at scales exceeding…

Disordered Systems and Neural Networks · Physics 2020-06-24 V. V. Brazhkin , I. M. Suslov

The Aharonov--Bohm effect is considered as a scattering event with nonrelativistic charged particles of the wavelength which is less than the transverse size of an impenetrable magnetic vortex. The quasiclassical WKB method is shown to be…

Quantum Physics · Physics 2016-10-04 Yu. A. Sitenko , N. D. Vlasii

Abrikosov vortices, where the superconducting gap is completely suppressed in the core, are dissipative, semi-classical entities that impact applications from high-current-density wires to superconducting quantum devices. In contrast, we…

The Aharonov-Bohm effect is the prime example of a zero-field-strength configuration where a non-trivial vector potential acquires physical significance, a typical quantum mechanical effect. We consider an extension of the traditional A-B…

Superconductivity · Physics 2010-02-16 Fabio Franchini , Alfred Scharff Goldhaber

We establish systematic consolidation of the Aharonov-Bohm and Aharonov-Casher effects including their scalar counterparts. Their formal correspondences in acquiring topological phases are revealed on the basis of the gauge symmetry in…

Quantum Physics · Physics 2009-11-10 Minchul Lee , M. Y. Choi

The voltage shift RfIc with respect to the flux flow ohmic behavior of the current-voltage characteristic in type II superconductors is ascribed to the irreversible processes occurring when a vortex crosses defects. We include irreversible…

Superconductivity · Physics 2016-03-17 S. Pace , G. Filatrella , G. Grimaldi , A. Nigro

In type-I superconducting cylinders bulk superconductivity is destroyed above the first critical current. Below the second critical current the `type-I mixed state' displays fluctuation superconductivity which contributes to the total…

Superconductivity · Physics 2007-05-23 Catrin Ellenberger , Florian Gebhard , Wolfgang Bestgen

We study the chaotic scattering through an Aharonov-Bohm ring containing two cavities. One of the cavities has well-separated resonant levels while the other is chaotic, and is treated by random matrix theory. The conductance through the…

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

A neutral quantum particle with magnetic moment encircling a static electric charge acquires a quantum mechanical phase (Aharonov-Casher effect). In superconducting electronics the neutral particle becomes a fluxon that moves around…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 I. M. Pop , B. Douçot , L. Ioffe , I. Protopopov , F. Lecocq , I. Matei , O. Buisson , W. Guichard

A dc voltage drop develops along amorphous indium oxide nanowires that are exposed to an ac bias source. This voltage is anti-symmetric with magnetic field and is characterized by sample specific quasi-periodic magneto-voltage oscillations.…

Superconductivity · Physics 2015-05-20 Shachaf Poran , Efrat Shimshoni , Aviad Frydman

Breaking of time-reversal and point-group spatial symmetries can have a profound impact on superconductivity. One of the most extraordinary effects, due to the application of a magnetic field, is represented by the Abrikosov vortices with…

Superconductivity · Physics 2022-04-21 Maria Teresa Mercaldo , Carmine Ortix , Francesco Giazotto , Mario Cuoco

For a believer in locality of Nature, the Aharonov-Bohm effect and the Aharonov-Casher effect are paradoxes. I discuss these and other Aharonov's paradoxes and propose a local explanation of these effects. If the solenoid in the…

Quantum Physics · Physics 2015-06-12 Lev Vaidman

Numerical simulations of conduction through a disordered microbridge between a normal metal and a superconductor have revealed an anomalous insensitivity of the conductance fluctuations to a magnetic field. A theory for the anomaly is…

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

Thermal fluctuations and disorder play an essential role in high-T$_c$ superconductors. After reviewing the mean-field phase diagram we describe significant modifications that result when the effects of finite temperature and disorder are…

Condensed Matter · Physics 2012-08-17 David A. Huse , Leo R. Radzihovsky

We report quantum interference effects in InAs semiconductor nanowires strongly coupled to superconducting electrodes. In the normal state, universal conductance fluctuations are investigated as a function of magnetic field, temperature,…

Mesoscale and Nanoscale Physics · Physics 2020-11-04 Yong-Joo Doh , Aarnoud L. Roest , Erik P. A. M. Bakkers , Silvano De Franceschi , Leo P. Kouwenhoven

The mathematical equivalence of the time-independent Schrodinger equation and the Helmholtz equation is exploited to provide a novel means of studying universal conductance fluctuations in ballistic chaotic mesoscopic systems using a…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Sameer Hemmady , James Hart , Xing Zheng , Thomas M. Antonsen , Edward Ott , Steven M. Anlage

Conventional superconductors are strong diamagnets that through the Meissner effect expel magnetic fields. It would therefore be surprising if a superconducting ground state would support spontaneous magnetics fields. Such time-reversal…

Superconductivity · Physics 2015-09-02 Mikael Håkansson , Tomas Löfwander , Mikael Fogelström
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