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The formation of quantum Hall channels inside the bulk of graphene is studied using various contact and gate geometries. p-n junctions are created along the longitudinal direction of samples, and enhanced conductance is observed in the case…

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

Coupled quantum Hall edge channels show intriguing non-trivial modes, for example, charge and neutral modes at Landau level filling factors 2 and 2/3. We propose an appropriate and effective model with Coulomb interaction and…

Mesoscale and Nanoscale Physics · Physics 2021-08-10 Toshimasa Fujisawa , Chaojing Lin

Strong correlation brings a rich array of emergent phenomena, as well as a daunting challenge to theoretical physics study. In condensed matter physics, the fractional quantum Hall effect is a prominent example of strong correlation, with…

Strongly Correlated Electrons · Physics 2025-05-05 Yubing Qian , Tongzhou Zhao , Jianxiao Zhang , Tao Xiang , Xiang Li , Ji Chen

The one-dimensional, chiral edge channels of the quantum Hall effect are a promising platform in which to implement electron quantum optics experiments; however, Coulomb interactions between edge channels are a major source of decoherence…

Mesoscale and Nanoscale Physics · Physics 2020-05-19 R. H. Rodriguez , F. D. Parmentier , D. Ferraro , P. Roulleau , U. Gennser , A. Cavanna , M. Sassetti , F. Portier , D. Mailly , P. Roche

We study electron pumping through a system of barriers, whose heights are deformed adiabatically. We derive a simple formula for the pumped charge $Q$ in terms of the total reflection and transmission amplitudes and phases. The pumped…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Argha Banerjee , Sourin Das , Sumathi Rao

Entanglement shared between the two ends of a quantum communication channel has been shown to be a useful resource in increasing both the quantum and classical capacities for these channels. The entanglement-assisted capacities were derived…

Quantum Physics · Physics 2009-11-07 Garry Bowen

The development of classical ergodic theory has had a significant impact in the areas of mathematics, physics, and, in general, applied sciences. The quantum ergodic theory of Hamiltonian dynamics has its motivations to understand…

Quantum Physics · Physics 2024-09-19 S. Aravinda , Shilpak Banerjee , Ranjan Modak

We study edge dynamics in the presence of interlayer tunneling, parallel magnetic field, and various types of disorder for two infinite sequences of quantum Hall states in symmetric bilayers. These sequences begin with the 110 and 331…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 J. D. Naud , Leonid P. Pryadko , S. L. Sondhi

Equilibration of quantum Hall edges is studied in a high quality dual gated bilayer graphene device in both unipolar and bipolar regime when all the degeneracies of the zero energy Landau level are completely lifted. We find that in the…

Mesoscale and Nanoscale Physics · Physics 2018-10-24 Chandan Kumar , Saurabh Kumar Srivastav , Anindya Das

We present a lattice method for determining scattering phase shifts and mixing angles for the case of an arbitrary number of coupled channels. Previous nuclear lattice effective field theory simulations were restricted to mixing of up to…

Nuclear Theory · Physics 2019-12-12 Lukas Bovermann , Evgeny Epelbaum , Hermann Krebs , Dean Lee

We present measurements of momentum-resolved magneto-tunneling from a perpendicular two-dimensional (2D) contact into integer quantum Hall (QH) edges at a sharp edge potential created by cleaved edge overgrowth. Resonances in the tunnel…

Condensed Matter · Physics 2009-11-10 M. Huber , M. Grayson , D. Schuh , M. Bichler , W. Biberacher , W. Wegscheider , G. Abstreiter

In this short communication, a new type of two-channel cavity QED model is derived. Two-channel models are important for they often lead to quantum interference phenomena. The previous models relied on the use of two or more modes of the…

Quantum Physics · Physics 2008-04-04 F. L. Semião

We report selective injection of both spin-up and spin-down single electrons into a quantum dot (QD) from spin-polarized non-equilibrium quantum Hall edge channels (ECs) generated by selective transmission of spin-resolved ECs using a…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 Haruki Kiyama , Takashi Nakajima , Soichiro Teraoka , Akira Oiwa , Seigo Tarucha

Quantum entanglement shared by remote network nodes serves as a valuable resource for promising applications in distributed computing, cryptography, and sensing. However, distributing entanglement with high-quality via fiber optic routes…

Quantum Physics · Physics 2018-10-02 Liangzhong Ruan , Brian T. Kirby , Michael Brodsky , Moe Z. Win

Two dimensional electronic systems under strong magnetic field form quantum Hall (QH) edge states, which propagate along the boundary of a sample with a dissipationless current. Engineering the pathway of these propagating one-dimensional…

Mesoscale and Nanoscale Physics · Physics 2019-04-17 Ke Wang , Achim Harzheim , Ji Ung Lee , Takashi Taniguchi , Kenji Watanabe , Philip Kim

The edge states of the quantum Hall and fractional quantum Hall effect of a two-dimensional electron gas provide key access to the excitations of the bulk. Here we demonstrate controlled transmission of edge states in bilayer graphene.…

Mesoscale and Nanoscale Physics · Physics 2018-02-06 Jing Li , Hua Wen , Kenji Watanabe , Takashi Taniguchi , Jun Zhu

Quantum channels can be described via a unitary coupling of system and environment, followed by a trace over the environment state space. Taking the trace instead over the system state space produces a different mapping which we call the…

Quantum Physics · Physics 2009-01-14 Christopher King , Keiji Matsumoto , Michael Nathanson , Mary Beth Ruskai

Coulomb interactions have a major role in one-dimensional electronic transport. They modify the nature of the elementary excitations from Landau quasiparticles in higher dimensions to collective excitations in one dimension. Here we report…

Mesoscale and Nanoscale Physics · Physics 2013-09-24 E. Bocquillon , V. Freulon , J. -M. Berroir , P. Degiovanni , B. Plaçais , A. Cavanna , Y. Jin , G. Fève

We propose an electronic double quantum wire system that contains a pair of edge blocking potential and a coupling element in the middle barrier between two ballistic quantum wires. A window and a resonator coupling control between the…

Mesoscale and Nanoscale Physics · Physics 2007-06-23 Chi-Shung Tang , Vidar Gudmundsson
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