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A quantum two-path interferometer allows for direct measurement of the transmission phase shift of an electron, providing useful information on coherent scattering problems. In mesoscopic systems, however, the two-path interference is…

Mesoscale and Nanoscale Physics · Physics 2015-08-13 S. Takada , M. Yamamoto , C. Bäuerle , K. Watanabe , A. Ludwig , A. D. Wieck , S. Tarucha

Although the conductance of a closed Aharonov-Bohm interferometer, with a quantum dot on one branch, obeys the Onsager symmetry under magnetic field reversal, it needs not be a periodic function of this field: the conductance maxima move…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Amnon Aharony , Ora Entin-Wohlman , Tomohiro Otsuka , Shingo Katsumoto , Hisashi Aikawa , Kensuke Kobayashi

We calculate the tunnelling current through a Fabry-P\'{e}rot interferometer in the fractional quantum Hall regime. Within linear response theory (weak tunnelling but arbitrary source-drain voltage) we find a general expression for the…

Mesoscale and Nanoscale Physics · Physics 2014-01-29 Olaf Smits , Steven H. Simon , J. K. Slingerland

We consider a localized electronic spin controlled by a circularly polarized optical beam and an external magnetic field. When the frequency of the beam is tuned near an optical resonance with a continuum of higher energy states, effective…

Mesoscale and Nanoscale Physics · Physics 2017-02-27 Chen Sun , N. A. Sinitsyn

Electron interferometry with quantum Hall edge channels holds promise for probing and harnessing exotic exchange statistics of non-Abelian anyons. In semiconductor heterostructures, however, quantum Hall interferometry has proven…

A tunable quantum point contact with modes occupied in both transverse directions is studied by magnetotransport experiments. We use conductance quantization of the one-dimensional subbands as a tool to determine the mode spectrum. A…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 G. Salis , T. Heinzel , K. Ensslin , O. J. Homan , W. Bachtold , K. Maranowski , A. C. Gossard

The effect of a Zeeman magnetic field coupled to the spin of the electrons on the conducting properties of the disordered Hubbard model is studied. Using the Determinant Quantum Monte Carlo method, the temperature- and magnetic-field-…

Strongly Correlated Electrons · Physics 2009-11-10 P. J. H. Denteneer , R. T. Scalettar

Interference of edge channels is expected to be a prominent tool for studying statistics of charged quasiparticles in the quantum Hall effect (QHE) [A. Stern (2008), Ann. Phys. 1:204; C. Chamon et al. (1997), Phys. Rev. B, 55:2331]. We…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Nissim Ofek , Aveek Bid , Moty Heiblum , Ady Stern , Vladimir Umansky , Diana Mahalu

The spatial distribution of the incompressible edge states (IES) is obtained for a geometry which is topologically equivalent to an electronic Mach-Zehnder interferometer, taking into account the electron-electron interactions within a…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 A. Siddiki , A. E. Kavruk , T. Ozturk , U. Atav M. Sahin , T. Hakioglu

We study the electronic states of core multi-shell semiconductor nanowires, including the effect of strong magnetic fields. We show that the multi-shell overgrowth of a free-standing nanowire, together with the prismatic symmetry of the…

Mesoscale and Nanoscale Physics · Physics 2009-04-09 Giulio Ferrari , Guido Goldoni , Andrea Bertoni , Giampaolo Cuoghi , Elisa Molinari

We study numerically the edge magnetoconductance of a quantum spin Hall insulator in the presence of quenched nonmagnetic disorder. For a finite magnetic field B and disorder strength W on the order of the bulk gap E_g, the conductance…

Mesoscale and Nanoscale Physics · Physics 2010-10-08 Joseph Maciejko , Xiao-Liang Qi , Shou-Cheng Zhang

Quantum coherent properties of electrons can be studied in Aharonov-Bohm (AB) interferometers. We investigate both experimentally and theoretically the transmission phase evolution in a four-terminal quasi-one-dimensional AlGaAs/GaAs-based…

Mesoscale and Nanoscale Physics · Physics 2011-11-08 Christoph Kreisbeck , Tobias Kramer , Sven S. Buchholz , Saskia F. Fischer , Ulrich Kunze , Dirk Reuter , Andreas D. Wieck

We demonstrate operation of a small Fabry-Perot interferometer in which highly coherent Aharonov-Bohm oscillations are observed in the integer and fractional quantum Hall regimes. Using a novel heterostructure design, Coulomb effects are…

Mesoscale and Nanoscale Physics · Physics 2019-03-13 James Nakamura , Saeed Fallahi , Harshad Sahasrabudhe , Rajib Rahman , Shuang Liang , Geoffrey C. Gardner , Michael J. Manfra

We investigate the use of external time-dependent magnetic field for the control of the quantum states in a two-electron quantum ring. The hyperfine interaction of the confined electrons with surrounding nuclei couples the singlet state…

Mesoscale and Nanoscale Physics · Physics 2010-05-20 Jani Särkkä , Ari Harju

We study the nature of edge states in extrinsically and spontaneously dimerized states of two-dimensional spin-1/2 antiferromagnets, by performing quantum Monte Carlo simulation. We show that a gapless edge mode emerges in the wide region…

Strongly Correlated Electrons · Physics 2012-12-20 Takafumi Suzuki , Masahiro Sato

Recent experiments involving semiconducting quantum dots embedded in Aharonov-Bohm interferometry setups suggest that information concerning the phase of electron wavefunctions can be obtained from transport measurements. Here we review the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Yuval Gefen

Quantum shape effect appears under the size-invariant shape transformations of strongly confined structures. Such a transformation distinctively influences the thermodynamic properties of confined particles. Due to their characteristic…

Mesoscale and Nanoscale Physics · Physics 2022-11-08 Alhun Aydin , Jonas Fransson , Altug Sisman

The conductance of an open quench-disordered two-dimensional (2D) electron system subject to an in-plane magnetic field is calculated within the framework of conventional Fermi liquid theory applied to actually a three-dimensional system of…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Yu. V. Tarasov

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 investigate theoretically the electron states in HgTe quantum dots (QDs) with inverted band structures. In sharp contrast to conventional semiconductor quantum dots, the quantum states in the gap of HgTe quantum dot with an inverted band…

Mesoscale and Nanoscale Physics · Physics 2011-09-21 Kai Chang , W. K. Lou