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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

The charge and exchange statistics of an elementary excitation manifest in quantum coherent oscillations that can be explored in interferometry measurements. Quantum Hall interferometers are primary tools to uncover unconventional quantum…

Mesoscale and Nanoscale Physics · Physics 2023-02-08 Hailong Fu , Ke Huang , Kenji Watanabe , Takashi Taniguchi , Morteza Kayyalha , Jun Zhu

In order to investigate the effects of interference and interaction in adiabatic pumping, we consider an Aharonov-Bohm (AB) interferometer with a quantum dot embedded either in one or in both arms. We employ a real-time formalism and we…

Mesoscale and Nanoscale Physics · Physics 2010-02-02 Bastian Hiltscher , Michele Governale , Jürgen König

Quantum-mechanical calculations of electron magnetotransport in graphene Fabry-P\'{e}rot interferometers are presented with a focus on the role of spatial structure of edge channels. For an interferometer that is made by removing carbon…

Mesoscale and Nanoscale Physics · Physics 2023-10-24 S. Ihnatsenka

We study theoretically the transmission through a quantum dot molecule embedded in the arms of an Aharonov-Bohm four quantum dot ring threaded by a magnetic flux. The tunable molecular coupling provides a transmission pathway between the…

Mesoscale and Nanoscale Physics · Physics 2013-05-28 Daniel A. Lovey , Sergio S. Gomez , Rodolfo H. Romero

We show how to construct the thermodynamic grand potential of a droplet of incompressible fractional quantum Hall liquid, formed inside of an electronic Fabry--P\'erot interferometer, in terms of the conformal field theory disk partition…

Mathematical Physics · Physics 2011-12-30 Lachezar S. Georgiev

We use a Mach-Zehnder quantum Hall interferometer of a novel design to investigate the interference effects at fractional filling factors. Our device brings together the advantages of usual Mach-Zehnder and Fabry-Perot quantum Hall…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 E. V. Deviatov , S. V. Egorov , G. Biasiol , L. Sorba

Measurement of the transmission phase through a quantum dot (QD) embedded in an arm of a two-terminal Aharonov-Bohm (AB) interferometer is inhibited by phase symmetry, i.e. the property that the linear response conductance of a two-terminal…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Vadim Puller , Yigal Meir

We report experimental realization of a quasiparticle interferometer where the entire system is in 1/3 primary fractional quantum Hall state. The interferometer consists of chiral edge channels coupled by quantum-coherent tunneling in two…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 F. E. Camino , Wei Zhou , V. J. Goldman

We report the detection of spin interference signal in an Aharonov-Bohm type interferometer with quantum dots on the conduction paths. We have found that resonators like quantum dots can work as efficient spin rotators. The interference…

Mesoscale and Nanoscale Physics · Physics 2016-08-01 Yu Iwasaki , Yoshiaki Hashimoto , Taketomo Nakamura , Shingo Katsumoto

Two distinct types of magnetoresistance oscillations are observed in two electronic Fabry-Perot interferometers of different sizes in the integer quantum Hall regime. Measuring these oscillations as a function of magnetic field and gate…

Mesoscale and Nanoscale Physics · Physics 2012-11-19 Yiming Zhang , D. T. McClure , E. M. Levenson-Falk , C. M. Marcus , L. N. Pfeiffer , K. W. West

For strongly screened Coulomb interactions, quantum Hall interferometers can operate in a novel regime: the intrinsic energy gap can be larger than the charging energy, and addition of flux quanta can occur without adding quasi-particles.…

Mesoscale and Nanoscale Physics · Physics 2020-03-18 Bernd Rosenow , Ady Stern

We show that techniques of spatial adiabatic passage can be used to realise an electron interferometer in a geometry analogous to a conventional Aharonov-Bohm ring, with transport of the particle through the device modulated using coherent…

Quantum Physics · Physics 2013-05-29 Lenneke M Jong , Andrew D. Greentree

We analytically and numerically investigate an Aharonov-Bohm interferometer with two superconducting terminals and a strongly correlated quantum dot in one arm. Through a rigorous derivation, we prove that this double-path interferometer is…

Mesoscale and Nanoscale Physics · Physics 2026-03-09 Peter Zalom , Don Rolih , Rok Žitko

We have investigated experimentally resonant tunnelling through single-particle states formed around an antidot by a magnetic field, in the fractional quantum Hall regime. For 1/3 filling factor around the antidot, Aharonov-Bohm…

We present an electron interferometer defined purely by electrostatic gating in encapsulated bilayer graphene. This minimizes possible sample degradation introduced by conventional etching methods when preparing quantum devices. The device…

A quantum antidot, a submicron depletion region in a two-dimensional electron system, has been actively studied in the past two decades, providing a powerful tool for understanding quantum Hall systems. In a perpendicular magnetic field,…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 H. -S. Sim , M. Kataoka , C. J. B. Ford

The conductance G through a closed Aharonov-Bohm mesoscopic solid-state interferometer (which conserves the electron current), with a quantum dot (QD) on one of the paths, depends only on cos(phi), where Phi= (hbar c phi)/e is the magnetic…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 Amnon Aharony , Ora Entin-Wohlman , Yoseph Imry

The fractional quantum Hall states have long been predicted to be a testing ground of fractional (anyonic) exchange statistics. These topological states harbor quasiparticles with fractional charges of both abelian and non-abelian…

Mesoscale and Nanoscale Physics · Physics 2023-02-15 Hemanta Kumar Kundu , Sourav Biswas , Nissim Ofek , Vladimir Umansky , Moty Heiblum

We consider the tunneling current through a double point-contact Fabry-Perot interferometer such as used in recent experimental studies of the fractional quantum Hall plateau at filling fraction nu=5/2. We compare the predictions of several…

Mesoscale and Nanoscale Physics · Physics 2009-10-05 Waheb Bishara , Parsa Bonderson , Chetan Nayak , Kirill Shtengel , J. K. Slingerland
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