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It is shown that electromagnetic vortices can act as beam guides for charged particles. The confinement in the transverse directions is due to the rotation of the electric and magnetic fields around the vortex line. Large class of exact…

Classical Physics · Physics 2010-11-19 Iwo Bialynicki-Birula

Recent theoretical work has derived the correct form of the Ginzburg-Landau differential equations, for the superconducting order parameter and vector potential, in the presence of a small defect. Here, these equations are applied to the…

Superconductivity · Physics 2009-10-30 Mark Friesen , Paul Muzikar

We write a Ginzburg-Landau Hamiltonian for a charged order parameter interacting with a background electromagnetic field in 2+1 dimensions. Using the method of Lund we derive a collective coordinate action for vortex defects in the order…

High Energy Physics - Theory · Physics 2015-06-26 Theodore J. Allen , Andrew J. Bordner

We consider the interplay of the elastic pinning and the Anderson localization in the transport properties of a charge-density wave in one dimension, within the framework of the Luttinger model in the limit of strong repulsion. We address a…

Strongly Correlated Electrons · Physics 2007-10-22 A. D. Mirlin , D. G. Polyakov , V. M. Vinokur

The dynamics of moving vortex lattice is considered in the framework of the time dependent Ginzburg - Landau equation neglecting effects of pinning. At high flux velocities the pinning dominated dynamics is expected to cross over into the…

Superconductivity · Physics 2009-11-10 Dingping Li , Andrey M. Malkin , Baruch Rosenstein

The equivalence between neutral particles under rotation and charged particles in a magnetic field relates phenomena as diverse as spinning atomic nuclei, weather patterns, and the quantum Hall effect. In their quantum descriptions,…

It is shown, within classical mechanics, that the field of an electromagnetic vortex is capable of capturing and guiding neutral molecules endowed with a permanent electric dipole moment (PEDM). Similarly as in the case of the magnetic…

Optics · Physics 2020-02-19 Tomasz Radozycki

In two dimensions the microscopic theory, which provides a basis for the naive analogy between a quantized vortex in a superfluid and an electron in an uniform magnetic field, is presented. A one-to-one correspondence between the rotational…

Condensed Matter · Physics 2007-05-23 Jian-Ming Tang

We study the problem of an electron in two dimensions in the presence of a magnetic vortex with a step-like profile. Dependending on the values of the effective mass and gyromagnetic factor of the electron, it may be trapped by the vortex.…

Condensed Matter · Physics 2008-11-26 R. M. Cavalcanti , E. S. Fraga , C. A. A. de Carvalho

A classical circularly polarized electromagnetic wave carries angular momentum, and represents the classical limit of a photon, which carries quantized spin. It is shown that a very similar picture of a circularly polarized coherent wave…

Quantum Physics · Physics 2007-05-23 Alan M. Kadin

In submicron superconducting squares in a homogeneous magnetic field, Ginzburg-Landau theory may admit solutions of the vortex-antivortex type, conforming with the symmetry of the sample [Chibotaru et al., Nature 408, 833 (2000)]. Here we…

Superconductivity · Physics 2008-10-27 R. Geurts , M. V. Milošević , F. M. Peeters

Since the Ginzburg-Landau theory is concerned with macroscopic phenomena, and gravity affects how objects interact at the macroscopic level. It becomes relevant to study the Ginzburg-Landau theory in curved space, that is, in the presence…

Mathematical Physics · Physics 2025-02-04 Lei Cao , Yilu Xu , Shouxin Chen

We study the confinement of charged Dirac particles in 3+1 space-time due to the presence of a constant and tilted magnetic field. We focus on the nature of the solutions of the Dirac equation and on how they depend on the choice of vector…

High Energy Physics - Theory · Physics 2022-06-22 Abdulaziz D. Alhaidari , Hocine Bahlouli , Ahmed Jellal

The effect of a periodic pinning array on the vortex state in a 2D superconductor at low temperatures is studied within the framework of the Ginzburg-Landau approach. It is shown that attractive interaction of vortex cores to a commensurate…

Superconductivity · Physics 2009-11-10 V. Zhuravlev , T. Maniv

Based on the single particle approximation [V. F. Dmitriev {\it et al}, Phys. Rev. C {\bf50}, 2358 (1994), C.-C. Chen, Phys. Rev. A {\bf51}, 2611 (1995)], the Landau quantization associated with an atom with a magnetic quadrupole moment is…

Quantum Physics · Physics 2016-03-07 I. C. Fonseca , K. Bakke

We investigate an electron in the plane interacting with the magnetic field due to an electric current forming a localized rotationally symmetric vortex. We show that independently of the vortex profile an electron with spin antiparallel to…

Condensed Matter · Physics 2007-05-23 F. Bentosela , P. Exner , V. A. Zagrebnov

The quantum mechanical states of the neutral particle endowed with a magnetic moment in the combination of electromagnetic vortex field together with the constant magnetic field are dealt with. It is shown that this system of fields is…

Quantum Physics · Physics 2018-08-08 Tomasz Radożycki

The melting transition of the vortex lattice in highly anisotropic, layered superconductors with commensurate, periodic columnar pins is studied in a geometry where magnetic field and columnar pins are normal to the layers. Thermodynamic…

Superconductivity · Physics 2009-11-07 Chandan Dasgupta , Oriol T. Valls

An electron within a mesoscopic (quantum-coherent) spintronic structure is described by a single wave function which, in the presence of both charge scattering and spin-orbit coupling, encodes an information about {\em entanglement} of its…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Branislav K. Nikolic

A semiclassical quantization condition is derived for Landau levels in general spin-orbit coupled systems. This generalizes the Onsager quantization condition via a matrix-valued phase which describes spin dynamics along the classical…

Mesoscale and Nanoscale Physics · Physics 2016-07-06 Tommy Li , Baruch Horovitz , Oleg P. Sushkov
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