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Helical edge states in quantum spin Hall (QSH) materials are central building blocks of topological matter design and engineering. Despite their principal topological protection against elastic backscattering, the level of operational…

Mesoscale and Nanoscale Physics · Physics 2023-05-05 Maciej Bieniek , Jukka I. Väyrynen , Gang Li , Titus Neupert , Ronny Thomale

We study the spin polarization induced by a current flow in clean two dimensional electron gases with Rashba spin-orbit coupling. This geometric effect originates from special properties of the electron's scattering at the edges of the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 A. Reynoso , Gonzalo Usaj , C. A. Balseiro

Kondo insulators combine strong electronic correlations with spin orbit coupling and thereby provide a potential realization of correlated topological insulators. We present model calculations which allow us to study the onset of bulk…

Strongly Correlated Electrons · Physics 2014-08-28 Jan Werner , Fakher F. Assaad

We show that a two-dimensional spin-orbit-coupled system in the presence of a charge/spin-density wave with a wave-vector perpendicular to an applied electric field supports bulk manifestations of the direct/inverse spin-Hall effect. We…

Materials Science · Physics 2010-03-15 Brandon Anderson , Tudor D. Stanescu , Victor Galitski

The interplay between the confinement potential and electron-electron interactions causes reconstructions of Quantum Hall edges. We study the consequences of this edge reconstruction for the relaxation of hot electrons injected into integer…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Torsten Karzig , Alex Levchenko , Leonid I. Glazman , Felix von Oppen

It has been proposed to investigate the equilibration properties of a small isolated quantum system by means of the matrix of asymptotic transition probabilities in some preferential basis. The trace $T$ of this matrix measures the degree…

Mesoscale and Nanoscale Physics · Physics 2017-08-21 J. M. Luck

Time-reversal symmetry suppresses electron backscattering in a quantum-spin-Hall edge, yielding quantized conductance at zero temperature. Understanding the dominant corrections in finite-temperature experiments remains an unsettled issue.…

Mesoscale and Nanoscale Physics · Physics 2018-09-11 Jukka I. Väyrynen , Dmitry I. Pikulin , Jason Alicea

We review our recent theoretical works on the the quantum spin Hall effect. First we compare edge states in various 2D systems, and see whether they are robust or fragile against perturbations. Through the comparisons we see the robust…

Mesoscale and Nanoscale Physics · Physics 2009-04-15 Shuichi Murakami

We consider the Kane-Mele model with spin-orbit coupling supplemented by a Hubbard U term. On the basis of projective auxiliary field quantum Monte Carlo simulations on lattice sizes up to 15 x 15, we map out the phase diagram. The quantum…

Strongly Correlated Electrons · Physics 2015-03-17 M. Hohenadler , T. C. Lang , F. F. Assaad

We calculate the conductance of a two-dimensional bilayer with inverted electron-hole bands, to study the sensitivity of the quantum spin Hall insulator (with helical edge conduction) to the combination of electrostatic disorder and a…

Mesoscale and Nanoscale Physics · Physics 2014-05-01 D. I. Pikulin , T. Hyart , Shuo Mi , J. Tworzydło , M. Wimmer , C. W. J. Beenakker

We explore the characteristics of equilibrium tunneling of electrons from a 3D electrode into a high mobility 2D electron system. For most 2D Landau level filling factors, we find that tunneling can be characterized by a single,…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 H. B. Chan , R. C. Ashoori , L. N. Pfeiffer , K. W. West

We study a two-dimensional cylindrically-symmetric electron droplet separated from a surrounding electron ring by a tunable barrier using the exact diagonalization method. The magnetic field is assumed strong so that the electrons become…

Mesoscale and Nanoscale Physics · Physics 2009-08-12 E. Tölö , A. Harju

Controlling electron's spin and orbital degrees of freedom has been a major research focus over the past two decades, as it underpins the electrical manipulation of magnetization. Leveraging a recently introduced quantum kinetic theory of…

Mesoscale and Nanoscale Physics · Physics 2025-12-16 T. Valet , H. Jaffres , V. Cros , R. Raimondi

We investigate the entanglement entropy in the Integer Quantum Hall effect in the presence of an edge, performing an exact calculation directly from the microscopic two-dimensional wavefunction. The edge contribution is shown to coincide…

Strongly Correlated Electrons · Physics 2020-03-20 Benoit Estienne , Jean-Marie Stéphan

In this numerical study we investigate the influence and interplay of disorder, spin-orbit coupling and magnetic field on the edge-transport in HgTe/CdTe quantum wells in the framework of coherent elastic scattering. We show that the edge…

Mesoscale and Nanoscale Physics · Physics 2015-10-15 Sven Essert , Klaus Richter

The longitudinal resistivity at transitions between integer quantum Hall states in two-dimensional electrons confined to AlAs quantum wells is found to depend on the spin orientation of the partially-filled Landau level in which the Fermi…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 K. Vakili , Y. P. Shkolnikov , E. Tutuc , N. C. Bishop , E. P. De Poortere , M. Shayegan

We investigate the performance of dynamical decoupling methods at suppressing electron spin decoherence from a low-temperature nuclear spin reservoir in a quantum dot. The controlled dynamics is studied through exact numerical simulation,…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Wenxian Zhang , V. V. Dobrovitski , Lea F. Santos , Lorenza Viola , B. N. Harmon

We study the coupling between a quantum dot and the edge of a non-Abelian fractional quantum Hall state which is spatially separated from it by an integer quantum Hall state. Near a resonance, the physics at energy scales below the level…

Mesoscale and Nanoscale Physics · Physics 2008-10-22 Gregory A. Fiete , Waheb Bishara , Chetan Nayak

Confined to a two-dimensional plane, electrons in a strong magnetic field travel along the edge in one-dimensional quantum Hall channels that are protected against backscattering. These channels can be used as solid-state analogues of…

Band-inverted electron-hole bilayers support quantum spin Hall insulator and exciton condensate phases. We investigate such a bilayer in an external magnetic field. We show that the interlayer correlations lead to formation of a helical…

Mesoscale and Nanoscale Physics · Physics 2016-02-09 D. I. Pikulin , P. G. Silvestrov , T. Hyart
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