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A quantum effect characterized by a dependence of the angular frequency associated with the confinement of a neutral particle to a quantum ring on the quantum numbers of the system and the Aharonov-Casher geometric phase is discussed. Then,…

Quantum Physics · Physics 2015-07-21 P. M. T. Barboza , K. Bakke

We study how a uniform torsion background, modeling a continuous density of screw dislocations and induces effective spatial noncommutativity and reshapes the energy spectrum of a free quantum particle. Within the geometric theory of…

Mesoscale and Nanoscale Physics · Physics 2026-02-10 A. L. Silva Netto , A. M. de M. Carvalho , G. Q. Garcia , C. Furtado

Here we are concerned about uniform stability of damped nonlinear transverse vibrations of an elastic string fixed at its two ends. The vibrations governed by nonlinear integro-differential equation of Kirchoff type, is shown to possess…

Optimization and Control · Mathematics 2007-05-23 Ganesh C Gorain , Sujit K Bose

We have calculated the persistent spin current of an open ring induced by the Aharonov-Casher phase. For unpolarized electrons there exist no persistent charge currents, but persistent spin currents. We show that, in general, the magnitude…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Taeseung Choi , Chang-Mo Ryu , A. M. Jayannavar

From the interaction of the permanent magnetic dipole moment of a neutral particle with an electric field inside a long non-conducting cylindrical shell of inner radius $r_{a}$ and outer radius $r_{b}$, we show that a geometric quantum…

Quantum Physics · Physics 2025-02-27 K. Bakke , C. Furtado

We study the mechanical response of a dislocation-free 2D crystal under homogenous shear using a new mesoscopic approach to crystal plasticity, a Landau-type theory, accounting for the global invariance of the energy in the space of strain…

Materials Science · Physics 2021-05-25 O. U. Salman , R. Baggio , B. Bacroix , G. Zanzotto , N. Gorbushin , L. Truskinovsky

We consider a chain of Euler-Bernoulli beams with spatial dependent mass density, modulus of elasticity and area moment which are interconnected in dissipative or conservative ways and prove uniform exponential energy decay of the coupled…

Analysis of PDEs · Mathematics 2020-06-23 Björn Augner

We study a nonequilibrium ferromagnetic mean-field spin model exhibiting a phase with spontaneous temporal oscillations of the magnetization, on top of the usual paramagnetic and ferromagnetic phases. This behavior is obtained by…

Statistical Mechanics · Physics 2024-04-18 Laura Guislain , Eric Bertin

Spin states and persistent currents are investigated theoretically in a mesoscopic ring with an embedded magnetic ion under a uniform magnetic field including the spin-orbit interactions. The magnetic impurity acts as a spin-dependent…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 J. S. Sheng , Kai Chang

We considered the circulating current induced by the current magnification and the persistent current induced by Aharonov-Casher flux. The persistent currents have directional dependence on the direct current flow, but the circulating…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Taeseung Choi , Chang-Mo Ryu , A. M. Jayannavar

We demonstrate the general principle which states that a dissipationless spin current flows between two coupled ferromagnets if their magnetic orders are misaligned. This principle applies regardless the two ferromagnets are metallic or…

Mesoscale and Nanoscale Physics · Physics 2014-03-03 Wei Chen , Peter Horsch , Dirk Manske

We show that a static electric field $E_x$ gives rise to a shift of the spin wave dispersion relation $\omega(q_y-q_E)$ in the direction of the wavenumber $q_y$ of the quantity $q_E=-\gamma_LE_x/c^2$. This effect is caused by the magnetic…

Mesoscale and Nanoscale Physics · Physics 2020-08-26 Vittorio Basso , Patrizio Ansalone

The spin-dependent inertial force in an accelerating system under the presence of electromagnetic fields is derived from the generally covariant Dirac equation. Spin currents are evaluated by the force up to the lowest order of the…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 Mamoru Matsuo , Jun'ichi Ieda , Eiji Saitoh , Sadamichi Maekawa

In this article, we study topological and noninertial effects on the motion of the two-dimensional Dirac oscillator in the presence of a uniform magnetic field and the Aharonov-Bohm potential. We obtain the Dirac equation that describes the…

High Energy Physics - Theory · Physics 2020-11-24 Márcio M. Cunha , Henrique S. Dias , Edilberto O. Silva

In this letter, we introduce a geometric model to explain the origin of the observed shallow levels in semiconductors threaded by a dislocation density. We show that a uniform distribution of screw dislocations acts as an effective uniform…

Quantum Physics · Physics 2012-11-01 K. Bakke , F. Moraes

Spin currents in a two dimensional electron gas with Rashba-type spin orbit coupling are derived from a spin connection. Using a functional integral method, we recover the result derived by Sinova {\em et al.}$[ \mathrm{Phys.Rev. Lett. 92,…

Materials Science · Physics 2007-05-23 A. Rebei O. Heinonen

In this paper, we investigate the bound-state solutions of the noncommutative Dirac oscillator with a permanent electric dipole moment in the presence of an electromagnetic field in (2+1)-dimensions. We consider a radial magnetic field…

High Energy Physics - Theory · Physics 2022-11-18 R. R. S. Oliveira , G. Alencar , R. R. Landim

We study a model of an electron on a cylindrical surface, which is coupled to the torsion field due to a dislocation along the axis of the cylinder. We discuss the effect of this torsion field on the energy spectrum of the electrons and…

Strongly Correlated Electrons · Physics 2015-06-23 Debabrata Sinha

Topological effects of a spiral dislocation on an electron are investigated when it is confined to a hard-wall confining potential. Besides, it is analysed the influence of the topology of the spiral dislocation on the interaction of the…

Mesoscale and Nanoscale Physics · Physics 2019-11-26 A. V. D. M. Maia , K. Bakke

After obtaining an exact analytical time-varying solution for the Aharonov-Casher conducting ring embedded in a textured static/dynamic electric field, we investigate the spin-resolved quantum transport in the structure. It is shown that…

Mesoscale and Nanoscale Physics · Physics 2018-09-10 Can Li , Yaojin Li , Dongxing Yu , Chenglong Jia
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