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The nature of a metal--insulator transition tuned by external gates in quantum Hall (QH) systems with point constrictions at integer bulk filling, as reported in recent experiments of Roddaro et al. [1], is addressed. We are particularly…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Emiliano Papa , Tilo Stroh

We theoretically investigate electrical transport in a quantum Hall system hosting bulk and edge current carrying states. Spatially varying magnetic and electric confinement creates pairs of current carrying lines that drift in the same or…

Mesoscale and Nanoscale Physics · Physics 2018-09-12 Puja Mondal , Alain Nogaret , Sankalpa Ghosh

We study the tunneling current between two counterpropagating edge modes described by chiral Luttinger liquids when the tunneling takes place along an extended region. We compute this current perturbatively by using a tunnel Hamiltonian.…

Other Condensed Matter · Physics 2009-11-11 M. Aranzana , N. Regnault , Th. Jolicoeur

We study the heat transport along an edge state of a two-dimensional electron gas in the quantum Hall regime, in contact to two reservoirs at different temperatures. We consider two exactly solvable models for the edge state coupled to the…

Mesoscale and Nanoscale Physics · Physics 2013-10-23 H. Aita , L. Arrachea , C. Naón , E. Fradkin

We examine the effects of electron-electron interactions on transport between edge states in a multilayer integer quantum Hall system. The edge states of such a system, coupled by interlayer tunneling, form a two-dimensional, chiral metal…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 J. W. Tomlinson , J. -S. Caux , J. T. Chalker

Quantum point contacts (QPC) are a key instrument in investigating the physics of edge excitations in the quantum Hall effect. However, at not-so-high bias voltage values, the predictions of the conventional point QPC model often deviate…

Mesoscale and Nanoscale Physics · Physics 2025-12-11 Prasoon Kumar , Kyrylo Snizhko

We study interaction-induced backscattering mechanism for helical edge states of a two-dimensional topological insulator which is tunnel-coupled to a puddle located near the edge channel. The mechanism does not involve inelastic scattering…

Mesoscale and Nanoscale Physics · Physics 2025-12-05 I. V. Krainov , R. A. Niyazov , D. N. Aristov , V. Yu. Kachorovskii

We study backscattering of electrons and conductance suppression in a helical edge channel in two-dimensional topological insulators with broken axial spin symmetry in the presence of nonmagnetic point defects that create bound states. In…

Mesoscale and Nanoscale Physics · Physics 2021-04-28 Vladimir A. Sablikov , Aleksei A. Sukhanov

Electron tunneling between quantum Hall systems on the same two dimensional plane separated by a narrow barrier is studied. We show that in the limit where inelastic scattering time is much longer than the tunneling time, which can be…

Condensed Matter · Physics 2009-10-22 Tin-Lun Ho

The transversal propagation of the edge states in a two-dimensional quantum spin Hall system are classified by decay characteristic quantity $\lambda$. Two different modes of the helical edge states exhibit distinct behaviors. The…

Mesoscale and Nanoscale Physics · Physics 2012-05-08 Feng Lu , Yuan Zhou , Jin An , Chang-De Gong

We study the tunneling current between edge states of quantum Hall liquids across a single long contact region, and predict a resonance at a bias voltage set by the scale of the edge velocity. For typical devices and edge velocities…

Mesoscale and Nanoscale Physics · Physics 2009-07-30 B. J. Overbosch , Claudio Chamon

We study an interacting two-body model with adjustable spin tunneling in the context of the double SSH chains for a quantum dot system. We discovered that varying interaction strengths and spin tunneling significantly influence the…

Mesoscale and Nanoscale Physics · Physics 2025-04-01 Keyu Wang , Peihao Huang

We propose and analyze the non-equilibrium finite frequency current-current correlations as a mean to characterize the helical nature of the edge states in a quantum spin hall geometry. We show that the finite frequency noise enables to…

Mesoscale and Nanoscale Physics · Physics 2012-11-16 J. -R. Souquet , P. Simon

We have introduced a controllable nano-scale incursion into a potential barrier imposed across a two-dimensional electron gas, and report on the phenomena that we observe as the incursion develops. In the quantum Hall regime, the…

We study theoretically helical edge states of 2D and 3D topological insulators (TI) tunnel-coupled to metal leads and show that their transport properties are strongly affected by contacts as the latter play a role of a heat bath and induce…

Mesoscale and Nanoscale Physics · Physics 2013-11-14 P. P. Aseev , S. N. Artemenko

We have developed a theory of quasiparticle backscattering in a system of point contacts formed between single-mode edges of several Fractional Quantum Hall Liquids (FQHLs) with in general different filling factors $\nu_j$ and one common…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 V. V. Ponomarenko , D. V. Averin

The current through a helical edge state of a quantum-spin-Hall insulator may be fully transmitted through a magnetically gapped region due to a combination of spin-transfer torque and spin pumping [Meng {\em et al.}, Phys. Rev. B {\bf 90},…

Mesoscale and Nanoscale Physics · Physics 2016-05-25 P. G. Silvestrov , P. Recher , P. W. Brouwer

The helical edge states of time-reversal invariant two-dimensional topological insulators are protected against backscattering in idealized models. In more realistic scenarios with a shallow confining potential at the sample boundary,…

Mesoscale and Nanoscale Physics · Physics 2022-11-09 Niels John , Adrian Del Maestro , Bernd Rosenow

We consider transport in the Poissonian regime between edge states in the quantum Hall effect. The backscattering potential is assumed to be arbitrary, as it allows for multiple tunneling paths. We show that the Schottky relation between…

Mesoscale and Nanoscale Physics · Physics 2010-11-18 Denis Chevallier , Jérôme Rech , Thibaut Jonckheere , Claire Wahl , Thierry Martin

Tunneling from a two-dimensional contact into quantum-Hall edges is considered theoretically for a case where the barrier is extended, uniform, and parallel to the edge. In contrast to previously realized tunneling geometries, details of…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 U. Zuelicke , E. Shimshoni , M. Governale