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Two dimensional electron systems exhibiting the fractional quantum Hall effects are characterized by a quantized Hall conductance and a dissipationless bulk. The transport in these systems occurs only at the edges where gapless excitations…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Yogesh N. Joglekar , Hoang K. Nguyen , Ganpathy Murthy

The interplay of spin-polarized electronic edge states with the dynamics of the host nuclei in quantum Hall systems presents rich and non-trivial transport physics. Here, we develop a Landauer-B\"uttiker approach to understand various…

Mesoscale and Nanoscale Physics · Physics 2018-01-08 Aniket Singha , M. H. Fauzi , Yoshiro Hirayama , Bhaskaran Muralidharan

The energy spectra and composition of ultra-high energy cosmic rays are changing in a course of propagation in the expanding Universe filled with background radiation. We developed a numerical code for solution of inverse problem for…

High Energy Astrophysical Phenomena · Physics 2015-06-22 V. S. Ptuskin , S. I. Rogovaya , V. N. Zirakashvili

We investigate the energy cascade in wall-bounded turbulence by analysing the interscale transfer between streamwise and spanwise length scales in periodic channels. This transfer originates from the nonlinear interactions in the advective…

Fluid Dynamics · Physics 2025-11-10 Joy Chen , Ricardo Garcia-Mayoral

We report a theoretical study of the linear and nonlinear dynamics of edge excitations of an integer quantum Hall state of non-interacting fermions. New features beyond the chiral Luttinger liquid picture are anticipated to arise from the…

Quantum Gases · Physics 2023-06-06 Alberto Nardin , Iacopo Carusotto

Many topological phases host gapless boundary modes that can be dramatically modified by electronic interactions. Even for the long-studied edge modes of quantum Hall phases, forming at the boundaries of two-dimensional (2D) electron…

We propose an experimental method for a quantum protocol termed quantum energy teleportation (QET), which allows energy transportation to a remote location without physical carriers. Using a quantum Hall system as a realistic model, we…

Quantum Physics · Physics 2015-05-30 Go Yusa , Wataru Izumida , Masahiro Hotta

The understanding of the Chern insulator and anomalous quantum Hall effect (AQHE) in terms of chiral edge states in confined systems is the first aim of the paper. The model we use consists in a diatomic square lattice with hopping to the…

Mesoscale and Nanoscale Physics · Physics 2018-09-12 B. Ostahie , M. Nita , A. Aldea

We study energy propagation along line-defects (edges) in 2D continuous, energy preserving periodic media. The unperturbed medium (bulk) is modeled by a honeycomb Schroedinger operator, which is periodic with respect to the triangular…

Mathematical Physics · Physics 2019-10-09 A. Drouot , M. I. Weinstein

Recent theoretical and experimental developments in the field of electron vortex beam physics have raised questions on what exactly this novelty in the field of electron microscopy (and other fields, such as particle physics) really…

Quantum Physics · Physics 2015-03-17 Ruben Van Boxem , Bart Partoens , Jo Verbeeck

The fragmentation of molecular cations following inner-shell decay processes in molecules containing heavy elements underpins the x-ray damage effects observed in x-ray scattering measurements of biological and chemical materials, as well…

Chemical Physics · Physics 2024-06-17 Adam E. A. Fouda , Stephen H. Southworth , Phay J. Ho

A theoretical calculation is presented of current noise which is due charge fractionalization, in two interacting edge channels in the integer quantum Hall state at filling factor $\nu=2$. Because of the capacitive coupling between the…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Izhar Neder

The electronic states in a corner-overgrown bent GaAs/AlGaAs quantum well heterostructure are studied with numerical Hartree simulations. Transmission electron microscope pictures of the junction justify the sharp-corner assumption. In a…

Measurements of the energy relaxation in the integer quantum hall edge at filling factor $\nu=2$ suggest the breakdown of heat current quantization [H. le Sueur et al., Phys. Rev. Lett. 105, 056803]. It was shown, in a hydrodynamic model,…

Mesoscale and Nanoscale Physics · Physics 2022-06-14 Florian Stäbler , Eugene Sukhorukov

Because of the bulk gap, low energy physics in the quantum Hall effect is confined to the edges of the 2D electron liquid. The velocities of edge modes are key parameters of edge physics. They were determined in several quantum Hall systems…

Mesoscale and Nanoscale Physics · Physics 2015-11-05 Philip Zucker , D. E. Feldman

Among the predicted properties of fractional quantum Hall states are fractionally charged quasiparticles and conducting edge-states described as chiral Luttinger liquids. In a system with a narrow constriction, tunneling of quasi-particles…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 B. Rosenow , B. I. Halperin

We study various geometrical aspects of the propagation of particles obeying fractional statistics in the physical setting of the quantum Hall system. We find a discrete set of zeros for the two-particle kernel in the lowest Landau level;…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Diptiman Sen , Michael Stone , Smitha Vishveshwara

Effect of a complicated many-body environment is analyzed on the electron random scattering by a 2D mesoscopic open ballistic structure. A new mechanism of decoherence is proposed. The temperature of the environment is supposed to be zero…

Mesoscale and Nanoscale Physics · Physics 2015-03-13 Valentin V. Sokolov

We study transport properties of the helical edge channels of a quantum spin Hall (QSH) insulator, in the presence of electron-electron interactions and weak, local Rashba spin-orbit coupling. The combination of the two allows for inelastic…

Mesoscale and Nanoscale Physics · Physics 2016-01-20 Florian Geissler , François Crépin , Björn Trauzettel

We address the experimentally relevant situation, where a non-equilibrium state is created at the edge of a quantum Hall system by injecting charge current into a chiral edge state with the help of a quantum point contact, quantum dots, or…

Mesoscale and Nanoscale Physics · Physics 2025-01-17 Edvin G. Idrisov , Ivan P. Levkivskyi , Eugene V. Sukhorukov