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Quasi--one dimensional edge channels are formed at the boundary of a two-dimensional electron system subject to a strong perpendicular magnetic field. We consider the effect of Rashba spin--orbit coupling, induced by structural inversion…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Marco G. Pala , Michele Governale , Ulrich Zülicke , Giuseppe Iannaccone

We theoretically investigate transport affected by cavity-mediated electron hopping in multi-terminal quantum Hall bars, quantum point contacts, and Aharonov-Bohm interferometers. Beyond determining conductances and resistances, we analyze…

Mesoscale and Nanoscale Physics · Physics 2025-08-05 Dalin Boriçi , Geva Arwas , Cristiano Ciuti

We study the electronic transport across an electrostatically-gated lateral junction in a HgTe quantum well, a canonical 2D topological insulator, with and without applied magnetic field. We control carrier density inside and outside a…

We analyze the magnetic field and gate voltage dependence of the longitudinal resistance in an integer quantum Hall Fabry-P\'{e}rot interferometer, taking into account the interactions between an interfering edge mode, a non-interfering…

Mesoscale and Nanoscale Physics · Physics 2019-08-16 Giovanni A. Frigeri , Daniel D. Scherer , Bernd Rosenow

The influence of the geometric phase on a Bell measurement, as proposed by Bertlmann et al. in [Phys. Rev. A 69, 032112 (2004)], and expressed by the Clauser-Horne-Shimony-Holt (CHSH) inequality, has been observed for a spin-path entangled…

Coulomb effects on the edge states of a two dimensional electron gas in the presence of a high magnetic field are studied for different widths of the boundaries. Schr\"odinger and Poisson equations are selfconsistently solved in the integer…

Condensed Matter · Physics 2009-10-22 L. Brey , J. J. Palacios , C. Tejedor

Entanglement can improve the measurement precision of quantum sensors beyond the shot noise limit. Neutral atoms, the basis of some of the most precise and accurate optical clocks and interferometers, do not naturally exhibit all-to-all…

We develop the theory of electronic Mach-Zehnder interferometers built from quantum Hall edge states at Landau level filling factor \nu = 2, which have been investigated in a series of recent experiments and theoretical studies. We show…

Strongly Correlated Electrons · Physics 2013-04-11 M. J. Rufino , D. L. Kovrizhin , J. T. Chalker

Two-terminal conductance quantization in the context of quantum Hall (QH) physics is intimately related to the current carried by a discrete number of chiral edge modes. Upon pinching off a QH bar, one may engineer setups where some modes…

Mesoscale and Nanoscale Physics · Physics 2025-07-02 Sourav Manna , Ankur Das , Yuval Gefen , Moshe Goldstein

We consider effects of the interaction between electrons drifting along the opposite sides of a narrow sample under the conditions of the quantum Hall effect. A spatial variation of this interaction leads to backward scattering of…

Condensed Matter · Physics 2016-08-31 Yuval Oreg , Alexander M. Finkel'stein

Entanglement is an important quantum resource to achieve high sensitive quantum metrology. However, the rapid decoherence of quantum entangled states, due to the unavoidable environment noise, result in practically the unwanted sharp drop…

Quantum Physics · Physics 2023-06-21 X. N. Feng , D. He , L. F. Wei

A double quantum dot device, connected to two channels that only see each other through interdot Coulomb repulsion, is analyzed using the numerical renormalization group technique. By using a two-impurity Anderson model, and parameter…

Strongly Correlated Electrons · Physics 2022-05-13 E. Vernek , C. A. Busser , E. V. Anda , A. E. Feiguin , G. B. Martins

Using a new MBE growth technique, we fabricate a two-dimensional electron system which is bent around an atomically sharp 90 degree corner. In the quantum Hall regime under tilted magnetic fields, we can measure equilibration between both…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 M. Grayson , D. Schuh , M. Bichler , G. Abstreiter , L. Hoeppel , J. Smet , K. von Klitzing

A Quantum Spin-Hall Insulator (QSHI) is implemented into a simple mass-spring Kagome lattice. The transition from the trivial state to the topological one is described by an invariant Chern number function of a contrast parameter. The band…

Mesoscale and Nanoscale Physics · Physics 2018-09-26 Hui Chen , Hussein Nassar , Andrew N. Norris , Gengkai Hu , Guoliang Huang

We propose a new single-step scheme for the generation of a GHZ entangled state of three single-electron excitations (flying qubits). We also present a method to get a generalized GHZ-state. Our idea relies upon the most recent progress in…

Mesoscale and Nanoscale Physics · Physics 2014-03-14 A. A. Vyshnevyy , G. B. Lesovik , T. Jonckheere , T. Martin

The quantum spin Hall effect (QSHE), a hallmark of topological insulators, enables dissipationless, spin-polarized edge transport and has been predicted in various two-dimensional materials. However, challenges such as limited scalability,…

Using a functional renormalization group approach, we study interaction-driven instabilities in quadratic band crossing point two-orbital models in two dimensions, extending a previous study of Sun et al. [1]. The wavevector-dependence of…

Strongly Correlated Electrons · Physics 2012-02-24 Stefan Uebelacker , Carsten Honerkamp

We present the theory of a new type of topological quantum order which is driven by the spin-orbit density wave order parameter, and distinguished by $Z_2$ topological invariant. We show that when two oppositely polarized chiral bands…

Mesoscale and Nanoscale Physics · Physics 2017-04-26 Gaurav Kumar Gupta , Tanmoy Das

We study the effects of spin orbit interactions on the low energy electronic structure of a single plane of graphene. We find that in an experimentally accessible low temperature regime the symmetry allowed spin orbit potential converts…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 C. L. Kane , E. J. Mele

We define a measurable spin for the edge of a lowest Landau level and incompressible fractional quantum Hall state in the presence of an Abelian or non-Abelian bulk quasiparticle. We show that this quantity takes a fractional value…

Strongly Correlated Electrons · Physics 2025-09-08 Alexander Fagerlund , Alberto Nardin , Leonardo Mazza , Eddy Ardonne
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