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Recently it was demonstrated that the long-known transition between the gap and gapless superconducting states in the Abrikosov-Gor'kov theory of superconducting alloy with paramagnetic impurities is of the Lifshitz's type, i.e. at zero…

Superconductivity · Physics 2022-05-30 Yuriy Yerin , A. A. Varlamov , Caterina Petrillo

The duality found by Aharonov and Casher for topological phases in the electromagnetic field is generalized to an arbitrary linear interaction. This provides a heuristic principle for obtaining a new solution of the field equations from a…

General Relativity and Quantum Cosmology · Physics 2008-02-03 Jeeva Anandan

Pressure-induced, spontaneous diamagnetism associated with critical behaviour is determined experimentally in a polar dielectric fluid containing nanoscale, clathrate hydrate cage structures. As with Type II superconductivity, Abrikosov…

Superconductivity · Physics 2023-01-11 Mark Gibbons

We consider different schemes for the electrodynamic Aharonov-Bohm (AB) effect introduced in Ref. [Phys. Rev. A $\mathbf{108}$, 062218 (2023)], exploring the phenomenon to enhance the understanding of its topological nature in spacetime. In…

Quantum Physics · Physics 2025-07-08 Pablo L. Saldanha , Herman Batelaan

The transmission of Cooper pairs between two weakly coupled superconductors produces a superfluid current and a phase difference; the celebrated Josephson effect. Because of time-reversal and parity symmetries, there is no Josephson current…

Whether the time-dependent Aharonov-Bohm (AB) effect even exists or not has been the subject of long-standing debate. There are two factors complicating the problem. First, in the closed spacetime line integral of the vector potential that…

Quantum Physics · Physics 2025-11-12 Masashi Wakamatsu

The ideal scalar Aharonov-Bohm (SAB) and Aharonov-Casher (AC) effect involve a magnetic dipole pointing in a certain fixed direction: along a purely time dependent magnetic field in the SAB case and perpendicular to a planar static electric…

Quantum Physics · Physics 2022-10-12 Philipp Hyllus , Erik Sjöqvist

The ac Josephson effect in hybrid systems of a normal mesoscopic conductor coupled to two superconducting (S) leads is investigated theoretically. A general formula of the ac components of time-dependent current is derived which is valid…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Qing-feng Sun , Hong Guo , Jian Wang

It is shown that AB-like cross sections can be obtained from symmetry breaking which does not require infinite energy, angular dependence in the symmetry breaking term, or a nontrivial $Z_2$ charge.

High Energy Physics - Theory · Physics 2007-05-23 C. R. Hagen

By gauging a higher-moment polynomial degree global symmetry and a discrete charge conjugation (i.e., particle-hole) symmetry coupled to matter fields (two symmetries mutually non-commutative), we derive a new class of higher-rank tensor…

Strongly Correlated Electrons · Physics 2020-11-13 Juven Wang , Shing-Tung Yau

In the present Note it is suggested that there should be a certain complementarity of phases between Aharonov-Bohm (AB) solenoid phase calculation on one part of the system and a phase calculation about another part of the physical system.…

Quantum Physics · Physics 2011-12-22 Y. Ben-Aryeh

Real-time nonequilibrium quantum dynamics of electrons in double-dot Aharonov-Bohm (AB) interferometers is studied using an exact solution of the master equation. The building of the coherence between the two electronic paths shows up via…

Mesoscale and Nanoscale Physics · Physics 2013-05-30 Matisse Wei-Yuan Tu , Wei-Min Zhang , Jinshuang Jin , O. Entin-Wohlman , A. Aharony

The Aharonov-Bohm (AB) effect for the singular string associated with the Dirac monopole carrying an arbitrary magnetic charge is studied. It is shown that the emerging difficulties in explanation of the AB effect may be removed by…

High Energy Physics - Theory · Physics 2012-11-15 Alexander I. Nesterov

The relation of the Aharonov-Casher (AC) effect and the force on a particle having a magnetic moment is explored. The general form of the AC Hamiltonian is derived using the Foldy-Wouthuysen transformation to the Dirac equation. Geometries…

Quantum Physics · Physics 2025-06-16 Igor Kuzmenko , Y. B. Band , Yshai Avishai

We study the interplay of topological excitations in stripe phases: charge dislocations, charge loops, and spin vortices. In two dimensions these defects interact logarithmically on large distances. Using a renormalization-group analysis in…

Condensed Matter · Physics 2009-11-07 Frank Krüger , Stefan Scheidl

The time-dependent Aharonov-Bohm (AB) effect considers the situation in which the magnetic flux inside the solenoid changes time-dependently. Different from the standard AB-effect, the problem is unexpectedly subtle and not easy to solve…

Quantum Physics · Physics 2025-03-04 Masashi Wakamatsu

In this paper we consider external current QED in the Coulomb gauge and in axial gauges for various spatial directions of the axis. For a non-zero electric charge of the current, we demonstrate that any two different gauges from this class…

High Energy Physics - Theory · Physics 2021-04-23 Wojciech Dybalski , Benedikt Wegener

We show that a two-dimensional $s$-wave superconductor may become topological in the presence of a magnetic field that leads to the formation of an Abrikosov vortex lattice. Below the upper critical field, a superconducting state with a…

Superconductivity · Physics 2025-11-18 Daniil S. Antonenko , Liang Fu , Leonid. I Glazman

We show that the presence of a spin-dependent random potential in a superconductor or a superfluid atomic gas leads to distinct transitions at which the energy gap and average order parameter vanish, generating an intermediate gapless…

Disordered Systems and Neural Networks · Physics 2015-05-30 M. Jiang , R. Nanguneri , N. Trivedi , G. G. Batrouni , R. T. Scalettar

The Aharonov--Casher (AC) effect describes the geometric phase acquired by a neutral particle carrying a magnetic dipole moment moving in an external electric field. In supersymmetric gauge theories it is often argued that exact…

High Energy Physics - Theory · Physics 2026-05-13 L. A. S. Nunes , C. A. S. Almeida