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A system of electrons in two dimensions and strong magnetic fields can be tuned to create a gapped 2D system with one dimensional channels along the edge. Interactions among these edge modes can lead to independent transport of charge and…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 Vivek Venkatachalam , Sean Hart , Loren Pfeiffer , Ken West , Amir Yacoby

We develop a theory for energy and spatially resolved tunneling spectroscopy of topological quantum spin Hall helical states driven out of equilibrium. When a helical liquid is constrained between two superconducting reservoirs transport at…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 Stanislav S. Apostolov , Alex Levchenko

Numerous experimental and theoretical studies have focused on low-dimensional systems locally perturbed by the biased tip of a scanning force microscope. In all cases either open or closed weakly gate-tunable nanostructures have been…

Mesoscale and Nanoscale Physics · Physics 2016-11-22 A. A. Kozikov , D. Weinmann , C. Rossler , T. Ihn , K. Ensslin , C. Reichl , W. Wegscheider

The fractional quantum Hall effect (FQHE) is a canonical example of a topological phase in a correlated 2D electron gas under strong magnetic field. While electric currents propagate as chiral downstream edge modes, chargeless upstream…

Mesoscale and Nanoscale Physics · Physics 2015-06-18 Hiroyuki Inoue , Anna Grivnin , Yuval Ronen , Moty Heiblum , Vladimir Umansky , Diana Mahalu

A scattering event in a quantum field theory is a coherent superposition of all processes consistent with its symmetries and kinematics. While real-time simulations have progressed toward resolving individual channels, existing approaches…

Quantum Physics · Physics 2026-05-21 Nikita A. Zemlevskiy

Since pioneering works of Hanbury-Brown and Twiss, intensity-intensity correlations have been widely used in astronomical systems, for example to detect binary stars. They reveal statistics effects and two-particle interference, and offer a…

When two separately contacted quantum Hall (QH) edge channels are brought into interaction, they can equilibrate their imbalance via scattering processes. In the present work we use a tunable QH circuit to implement a junction between…

Mesoscale and Nanoscale Physics · Physics 2012-10-24 Nicola Paradiso , Stefan Heun , Stefano Roddaro , Lucia Sorba , Fabio Beltram , Giorgio Biasiol

The quantum spin Hall (QSH) state is a genuinely new state of matter characterized by a non-trivial topology of its band structure. Its key feature is conducting edge channels whose spin polarization has potential for spintronic and quantum…

We address the issue of an apparent disagreement between theory and experiment on the I-V characteristic of electron tunneling from a metal to the edge of a two-dimensional electron gas in the fractional quantum Hall regime. A part of our…

Strongly Correlated Electrons · Physics 2007-05-23 Dung-Hai Lee , Xiao-Gang Wen

Quantum spin Hall insulators, recently realized in HgTe/(Hg,Cd)Te quantum wells, support topologically protected, linearly dispersing edge states with spin-momentum locking. A local magnetic exchange field can open a gap for the edge…

Mesoscale and Nanoscale Physics · Physics 2013-05-30 Carsten Timm

Motivated by recent experimental findings, we study transport in a simple phenomenological model of a quantum Hall edge system with a gate-voltage controlled constriction lowering the local filling factor. The current backscattered from the…

Mesoscale and Nanoscale Physics · Physics 2011-11-09 Siddhartha Lal

A set of stacked two-dimensional electron systems in a perpendicular magnetic field exhibits a three-dimensional version of the quantum Hall effect if interlayer tunneling is not too strong. When such a sample is in a quantum Hall plateau,…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 J. W. Tomlinson , J. -S. Caux , J. T. Chalker

We experimentally demonstrate, for the first time, formation of point-like topological defects in the edge state structure in the quantum Hall effect regime. By using of a selective population technique, we investigate equilibration…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 E. V. Deviatov , V. T. Dolgopolov , A. Wurtz , A. Lorke , A. Wixforth , W. Wegscheider , K. L. Campman , A. C. Gossard

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

We consider a two-particle interferometer, where voltage sources applied to ohmic contacts inject electronic excitations into a pair of copropagating edge channels. We analyze the impact of channel mixing due to inter-edge tunneling on the…

Mesoscale and Nanoscale Physics · Physics 2023-06-21 Matteo Acciai , Preden Roulleau , D. Christian Glattli , Janine Splettstoesser

Magnetic topological insulators (MTIs) host topologically protected edge states, but the role that these edge states play in electronic transport remains unclear. Using scanning superconducting quantum interference device (SQUID)…

Mesoscale and Nanoscale Physics · Physics 2025-01-22 G. M. Ferguson , Run Xiao , Anthony R. Richardella , Austin Kaczmarek , Nitin Samarth , Katja C. Nowack

We study the effects of impurity scattering on the low energy edge state dynamic s for a broad class of quantum Hall fluids at filling factor $\nu =n/(np+1)$, for integer $n$ and even integer $p$. When $p$ is positive all $n$ of the edge…

Condensed Matter · Physics 2009-10-22 C. L. Kane , M. P. A. Fisher

We present a detailed experimental study on the electrostatic interaction between a quantum dot and the metallic tip of a scanning force microscope. Our method allowed us to quantitatively map the tip-induced potential and to determine the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 A. E. Gildemeister , T. Ihn , M. Sigrist , K. Ensslin , D. C. Driscoll , A. C. Gossard

We investigate the coupling between quantum Hall (QH) edge channels (ECs) located at opposite sides of a 50-um-wide Hall bar by exciting a charged wavepacket in one EC and detecting time-dependent current in the other EC. In a QH state, the…

Strongly Correlated Electrons · Physics 2018-12-05 Ngoc Han Tu , Masayuki Hashisaka , Takeshi Ota , Yoshiaki Sekine , Koji Muraki , Toshimasa Fujisawa , Norio Kumada

Quantum Hall physics is at the heart of research on both matter and artificial systems, such as cold atomic gases, with non-trivial topological order. We report on the observation of a chiral edge current by transferring atomic wavepackets…

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