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We study the effects of Kondo correlations on the transmission phase shift of a quantum dot in an Aharonov-Bohm ring. We predict in detail how the development of a Kondo resonance should affect the dependence of the phase shift on transport…

Strongly Correlated Electrons · Physics 2009-10-31 Ulrich Gerland , Jan von Delft , Theo Costi , Yuval Oreg

Recent double-slit interference experiments have demonstrated the possibility of probing the phase of the complex transmission coefficient of a quantum dot via the Aharonov-Bohm effect. We propose an extension of these experiments: an ac…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 A. P. Jauho , Ned S. Wingreen

We study two quantum dots embedded in the arms of an Aharonov-Bohm ring threaded by a magnetic flux. The system can be described by an effective one-impurity Anderson model with an energy- and flux-dependent density of states. For specific…

Mesoscale and Nanoscale Physics · Physics 2009-04-27 Luis G. G. V. Dias da Silva , Nancy Sandler , Pascal Simon , Kevin Ingersent , Sergio E. Ulloa

Aharonov-Bohm (AB) oscillations are studied for a parallel coupled vertical double quantum dot with a common source and drain electrode. We observe AB oscillations of current via a one-electron bonding state as the ground state and an…

Mesoscale and Nanoscale Physics · Physics 2011-02-18 T. Hatano , T. Kubo , Y. Tokura , S. Amaha , S. Teraoka , S. Tarucha

This chapter is devoted to a discussion of quantum phase transitions in regularly alternating spin-1/2 Ising chain in a transverse field. After recalling some generally-known topics of the classical (temperature-driven) phase transition…

Statistical Mechanics · Physics 2016-11-23 Oleg Derzhko

We study three-terminal linear and nonlinear transport through an Aharonov-Bohm interferometer containing a double quantum dot using the nonequilibrium Green's function method. Under the condition that one of the three terminals is a…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 Toshihiro Kubo , Yuki Ichigo , Yasuhiro Tokura

We have studied quantum interference between electrons and holes in a split-ring gold interferometer with graphene arms, one of which contained a pn junction. The carrier type, the pn junction and the phase of the oscillations in a magnetic…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 Atikur Rahman , Janice Wynn Guikema , Soo Hyung Lee , Nina Markovic

We investigate the possibility of an electromechanical which-path interferometer, in which electrons travelling through an Aharonov-Bohm ring incorporating a quantum dot in one of the arms are dephased by an interaction with the fundamental…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 A. D. Armour , M. P. Blencowe

The aim of the present paper is to propose experiments for observing the significant features of Berry's phases for S>1, generated by spin-Hamiltonians endowed with two couplings, a magnetic dipole and an electric quadrupole one with…

Atomic Physics · Physics 2011-06-03 Marie-Anne Bouchiat , Claude Bouchiat

A magnetically trapped atom experiences an adiabatic geometric (Berry's) phase due to changing field direction. We investigate theoretically such an Aharonov-Bohm-like geometric phase for atoms adiabatically moving inside a storage ring as…

Quantum Physics · Physics 2009-11-13 P. Zhang , L. You

Fabry-P\'{e}rot interferometry has emerged as a tool to probe anyon statistics in the quantum Hall effect. The interference phase is interpreted as a combination of a quantized statistical phase and an Aharonov-Bohm phase, proportional to…

Mesoscale and Nanoscale Physics · Physics 2022-06-01 D. E. Feldman , Bertrand I. Halperin

Mesoscopic solid state Aharonov-Bohm interferometers have been used to measure the "intrinsic" phase, $\alpha_{QD}$, of the resonant quantum transmission amplitude through a quantum dot (QD). For a two-terminal "closed" interferometer,…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 A. Aharony , O. Entin-Wohlman , B. I. Halperin , Y. Imry

We realized an equivalent Hanbury Brown and Twiss experiment for a beam of electrons in a two dimensional electron gas in the quantum Hall regime. A metallic split gate serves as a tunable beam splitter which is used to partition the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 S. Oberholzer , M. Henny , C. Strunk , C. Schonenberger , T. Heinzel , K. Ensslin , M. Holland

A novel conductance oscillation in a twisted quantum ring composed of a helical atomic configuration is theoretically predicted. Internal torsion of the ring is found to cause a quantum phase shift in the wavefunction that describes the…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Hisao Taira , Hiroyuki Shima

We analyze interference phenomena in the quantum-Hall analog of the Fabry-Perot interferometer, exploring the roles of the Aharonov-Bohm effect, Coulomb interactions, and fractional statistics on the oscillations of the resistance as one…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 Bertrand I. Halperin , Ady Stern , Izhar Neder , Bernd Rosenow

By means of finite size exact diagonalization we theoretically study the electronic many-body effects on the nearly flat-band structure with time-reversal symmetry in a checkerboard lattice model and identify the topological nature of two…

Strongly Correlated Electrons · Physics 2014-08-12 Wei Li , D. N. Sheng , C. S. Ting , Yan Chen

The electron transmission through a {\it closed} Aharonov-Bohm mesoscopic solid-state interferometer, with a quantum dot (QD) on one of the paths, is calculated exactly for a simple model. Although the conductance is an even function of the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Amnon Aharony , Ora Entin-Wohlman , Yoseph Imry

When a circular ring suffers a special topological transformation, it becomes a two-layer ring. Due to the special topology of the two-layer ring, orbital angular momenta are allowed to be a half-integer, this would affect the traditional…

Other Condensed Matter · Physics 2010-01-10 Yanzhang He , Chengguang Bao

Measurements of the transmission phase in transport through a quantum dot embedded in an Aharonov-Bohm interferometer show systematic sequences of phase lapses separated by Coulomb peaks. Using a two-level quantum dot as an example we show…

Strongly Correlated Electrons · Physics 2008-11-26 D. I. Golosov , Yuval Gefen

Anyons are quasiparticles with fractional statistics, bridging between fermions and bosons. We propose an experimental setup to measure the statistical angle of topological anyons emitted from a quantum point contact (QPC) source. The setup…

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