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We study the quantum-interference effect in the ballistic Aharonov-Bohm (AB) billiard. The wave-number averaged conductance and the correlation function of the non-averaged conductance are calculated by use of semiclassical theory. Chaotic…

介观与纳米尺度物理 · 物理学 2007-05-23 Shiro Kawabata

We study the magneto-transport in Aharonov-Bohm (AB) billiards forming doubly connected structures. In these systems, non-averaged conductance oscillates as a function of magnetic flux with period h/e. We derive formulas of the correlation…

chao-dyn · 物理学 2007-05-23 Shiro Kawabata

We calculate the conductance through a circular quantum billiard with two leads and a point magnetic flux at the center. The boundary element method is used to solve the Schrodinger equation of the scattering problem, and the Landauer…

介观与纳米尺度物理 · 物理学 2012-04-27 Suhan Ree , L. E. Reichl

In Aharonov-Bohm (AB) cavities forming doubly connected ballistic structures, h/e AB oscillations that result from the interference among the complicated trapped paths in the cavity can be described by the framework of the semiclassical…

混沌动力学 · 物理学 2009-10-31 Shiro Kawabata

The connection of a superconductor to a chaotic ballistic quantum dot leads to interesting phenomena, most notably the appearance of a hard gap in its excitation spectrum. Here we treat such an Andreev billiard semiclassically where the…

介观与纳米尺度物理 · 物理学 2013-03-06 Jack Kuipers , Daniel Waltner , Cyril Petitjean , Gregory Berkolaiko , Klaus Richter

Quantum cavities or dots have markedly different properties depending on whether their classical counterparts are chaotic or not. Connecting a superconductor to such a cavity leads to notable proximity effects, particularly the appearance,…

介观与纳米尺度物理 · 物理学 2013-03-06 Jack Kuipers , Thomas Engl , Gregory Berkolaiko , Cyril Petitjean , Daniel Waltner , Klaus Richter

We demonstrate the existence of an interference contribution to the average magnetoconductance, G(B), of ballistic cavities and use it to test the semiclassical theory of quantum billiards. G(B) is qualitatively different for chaotic and…

凝聚态物理 · 物理学 2009-01-23 H. U. Baranger , R. A. Jalabert , A. D. Stone

We have investigated the Aharonov-Bohm effect in a one-dimensional GaAs/GaAlAs ring at low magnetic fields. The oscillatory magnetoconductance of these systems are for the first time systematically studied as a function of density. We…

介观与纳米尺度物理 · 物理学 2009-10-31 S. Pedersen , A. E. Hansen , A. Kristensen , C. B. Soerensen , P. E. Lindelof

The spin-interference that is caused by the Rashba spin-orbit interaction in a gate-controlled Aharonov-Bohm ring is studied by the analysis of the conductance oscillations as a function of both the gate voltage and magnetic field. The…

介观与纳米尺度物理 · 物理学 2009-11-10 I. A. Shelykh , N. T. Bagraev , N. G. Galkin , L. E. Klyachkin

Energy spectra of a particle with mass $m$ and charge $e$ in the cubic Aharonov-Bohm billiard containing around $10^4$ consecutive levels starting from the ground state have been analysed. The cubic Aharonov-Bohm billiard is a plane…

chao-dyn · 物理学 2009-09-25 Marko Robnik , Jure Dobnikar , Tomaz Prosen

We study the effect of an electric charge in the middle of a ring of electrons in a magnetic field such as $\nu = 1/2$. In the absence of the central charge, a residual current should appear due to an Aharanov-Bohm effect. As the charge…

介观与纳米尺度物理 · 物理学 2009-10-28 R. Mélin , B. Doucot

We show that Aharonov-Bohm (AB) oscillations in the magnetic moment of an integrable ballistic quantum dot can be destroyed by a time dependent magnetic flux. The effect is due to a nonequilibrium population of perfectly coherent electronic…

凝聚态物理 · 物理学 2009-10-22 T. Swahn , E. N. Bogachek , Yu. M. Galperin , M. Jonson , R. I. Shekhter

Using extensive tight-binding calculations, we investigate (including the spin) the Aharonov-Bohm (AB) effect in monolayer and bilayer trigonal and hexagonal graphene rings with zigzag boundary conditions. Unlike the previous literature, we…

介观与纳米尺度物理 · 物理学 2012-04-19 Igor Romanovsky , Constantine Yannouleas , Uzi Landman

The Aharonov-Bohm effect is investigated in two-dimensional, single-terminal quantum rings in magnetic fields by using time-dependent density-functional theory. We find multiple transport loops leading to the oscillation periods of h/(en),…

强关联电子 · 物理学 2010-06-22 V. Kotimaki , E. Rasanen

We study the effect on the density of states in mesoscopic ballistic billiards to which a superconducting lead is attached. The expression for the density of states is derived in the semiclassical S-matrix formalism shedding insight into…

超导电性 · 物理学 2007-05-23 W. Ihra , M. Leadbeater , J. L. Vega , K. Richter

We consider chaotic billiards in d dimensions, and study the matrix elements M_{nm} corresponding to general deformations of the boundary. We analyze the dependence of |M_{nm}|^2 on \omega = (E_n-E_m)/\hbar using semiclassical…

混沌动力学 · 物理学 2009-10-31 Alex Barnett , Doron Cohen , Eric J. Heller

Billiards tables - a minimal model for particles moving in a confined region - are known to present classical (and quantum) different features according to their shape, ranging from strongly chaotic to integrable dynamics. Here we consider…

混沌动力学 · 物理学 2026-05-13 Roberto Artuso , Matteo Burlo

The Aharonov-Bohm (AB) interference patterns in ring-shaped conductors are usually dominated by random features. The amplitude of the oscillations is random from sample to sample and from point to point on the magnetic field axis owing to…

凝聚态物理 · 物理学 2009-10-22 J. Liu , W. X. Gao , K. Ismail , K. Y. Lee , J. M. Hong , S. Washburn

This is a review of recent advances in our understanding of how Andreev reflection at a superconductor modifies the excitation spectrum of a quantum dot. The emphasis is on two-dimensional impurity-free structures in which the classical…

介观与纳米尺度物理 · 物理学 2007-05-23 C. W. J. Beenakker

We consider single-electron tunnelling through antidot states using a Coulomb-blockade model, and give an explanation for h/2e Aharonov-Bohm oscillations, which are observed experimentally when the two spins of the lowest Landau level form…

介观与纳米尺度物理 · 物理学 2009-10-31 M. Kataoka , C. J. B. Ford , G. Faini , D. Mailly , M. Y. Simmons , D. A. Ritchie
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