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The effect of point defects on persistent currents in mesoscopic systems is studied in a simple tight-binding model. Using an analogy with the treatment of the critical quantum Ising chain with defects, conformal invariance techniques are…

Statistical Mechanics · Physics 2009-10-31 Malte Henkel , Dragi Karevski

To understand the role of electron correlation and disorder on persistent currents in isolated 1D rings threaded by magnetic flux $\phi$, we study the behavior of persistent currents in aperiodic and ordered binary alloy rings. These…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Santanu K. Maiti , J. Chowdhury , S. N. Karmakar

We investigate a polyacetylene ring in an axially symmetric, static electric field with a modified SSH Hamiltonian of a polyacetylene chain. An effective gauge potential of the single electron Hamiltonian due to spin-field interaction is…

Condensed Matter · Physics 2009-11-07 Zhijian Li , J. Q. Liang , F. -C. Pu

In the Aharonov-Bohm setup, a double-slit experiment, when a long but thin solenoid of current is introduced between the two coherent beams of electrons behind the slits, an extra phase difference between the interfering beams appears, as…

Quantum Physics · Physics 2025-10-17 Ashok K. Singal

A device consisted of a set of circular rings, the centers of which lie on an axis, behaves like a solenoid when the ratio of its radius and distance between two successive rings is greater than one. As this ratio decreases, the device…

Classical Physics · Physics 2021-02-03 Y. Contoyiannis , M. Kampitakis

The advent of visible-infrared laser pulses carrying a substantial fraction of their energy in a single field oscillation cycle has opened a new era in the experimental investigation of ultrafast processes in semiconductors and dielectrics…

Quantum Physics · Physics 2018-05-09 Stanislav Yu. Kruchinin , Ferenc Krausz , Vladislav S. Yakovlev

We have measured the flux dependence of both real and imaginary conductance of $GaAs/GaAlAs$ isolated mesoscopic rings at 310 MHz. The rings are coupled to a highly sensitive electromagnetic superconducting micro-resonator and lead to a…

Condensed Matter · Physics 2009-10-28 Bertrand Reulet , Michel Ramin , Helene Bouchiat , Dominique Mailly

We explore electron transport in a thin cylinder, attached to two semi-infinite one-dimensional metallic electrodes, in the presence of both longitudinal and transverse magnetic fluxes. A simple tight-binding model is used to describe the…

Mesoscale and Nanoscale Physics · Physics 2009-06-29 Santanu K. Maiti

We describe the effects of geometric torsion on the coherent motion of electrons along a thin twisted quantum ring. The geometric torsion inherent in the quantum ring triggers a quantum phase shift in the electrons' eigenstates, thereby…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Hisao Taira , Hiroyuki Shima

We put forward a new approach based on Green's function formalism to evaluate precisely persistent charge and spin currents in an Aharonov-Bohm ring subjected to Rashba and Dresselhaus spin-orbit interactions. Unlike conventional methods…

Mesoscale and Nanoscale Physics · Physics 2014-08-19 Santanu K. Maiti , Moumita Dey , S. N. Karmakar

Sustained oscillations in power systems are dangerous. There are various mechanisms, for instance, limit cycle and forced oscillation, that may lead to sustained oscillations, which nevertheless are hard to differentiate. In this paper, a…

Systems and Control · Computer Science 2019-02-28 Qinye Tang , Xiaozhe Wang

Kinetics of magnetic flux in a thin mesoscopic ring biased by a strong external magnetic field is described equivalently by dynamics of a Brownian particle in a tilted washboard potential. The 'flux velocity', i.e. the averaged time…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Jerzy Dajka , Lukasz Machura , Szymon Rogozinski , Jerzy Luczka

We study the Kondo effect in a quantum dot embedded in a mesoscopic ring taking into account intradot spin-flip scattering $R$. Based on the finite-$U$ slave-boson mean-field approach, we find that the Kondo peak in the density of states is…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Bing Dong , G. H. Ding , H. L. Cui , X. L. Lei

Pendulums have long fascinated humans ever since Galileo theorized that they are isochronic with regards to their swing. While this simplification is useful in the case of small-angle pendulums due to the accuracy of the small-angle…

Classical Physics · Physics 2018-05-02 Nicolas Graber-Mitchell

We study a heavy piston of mass $M$ that separates finitely many ideal, unit mass gas particles moving in two or three dimensions. Neishtadt and Sinai previously determined a method for finding this system's averaged equation and showed…

Dynamical Systems · Mathematics 2010-11-25 Paul Wright

The gyroscopic motion of a trapped Bose gas containing a vortex is studied. We model the system as a classical top, as a superposition of coherent hydrodynamic states, by solution of the Bogoliubov equations, and by integration of the…

Statistical Mechanics · Physics 2016-08-31 Halvor Moll Nilsen , Dermot McPeake , J F McCann

Magneto-transport properties in closed and open loop structures are carefully reviewed within a tight-binding formalism. A novel mesoscopic phenomenon where a non-vanishing current is observed in a conducting loop upon the application of an…

Mesoscale and Nanoscale Physics · Physics 2015-08-13 Paramita Dutta , Santanu K. Maiti

The Aharonov-Bohm effect is a quantum mechanical phenomenon that demonstrates how potentials can have observable effects even when the classical fields associated with those potentials are absent. Initially proposed for electromagnetic…

Quantum Physics · Physics 2024-09-05 Michael E Tobar , Michael T Hatzon , Graeme R Flower , Maxim Goryachev

Recently several long-period radio transients have been discovered, with strongly polarised coherent radio pulses appearing on timescales between tens to thousands of seconds [1,2]. In some cases the radio pulses have been interpreted as…

The interplay of geometrical and Andreev quantization in mesoscopic superconductors leads to giant mesoscopic oscillations of energy levels as functions of the Fermi momentum and/or sample size. Quantization rules are formulated for closed…

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