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We discuss the implementation of a beam splitter for electron waves in a quantum Hall bilayer. Our architecture exploits inter-layer tunneling to mix edge states belonging to different layers. We discuss the basic working principle of the…

Mesoscale and Nanoscale Physics · Physics 2016-11-26 Stefano Roddaro , Luca Chirolli , Fabio Taddei , Marco Polini , Vittorio Giovannetti

Two-dimensional transition metal dichalcogenides (TMDs) of Mo and W in their 1T' crystalline phase host the quantum spin Hall (QSH) insulator phase. We address the electronic properties of the QSH edge states by means of first-principles…

Materials Science · Physics 2019-07-30 Artem Pulkin , Oleg V. Yazyev

We consider a non relativistic particle on the surface of a semi-infinite cylinder of circumference $L$ submitted to a perpendicular magnetic field of strength $B$ and to the potential of impurities of maximal amplitude $w$. This model is…

Mathematical Physics · Physics 2009-11-07 Nicolas Macris

In the Quantum Hall regime, near integer filling factors, electrons should only be transmitted through spatially-separated edge states. However, in mesoscopic systems, electronic transmission turns out to be more complex, giving rise to a…

Mesoscale and Nanoscale Physics · Physics 2010-10-22 B. Hackens , F. Martins , S. Faniel , C. A. Dutu , H. Sellier , S. Huant , M. Pala , L. Desplanque , X. Wallart , V. Bayot

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

In fractional quantum Hall systems, quasiparticles of fractional charge can tunnel between the edges at a quantum point contact. Such tunneling (or backscattering) processes contribute to charge transport, and provide information on both…

Mesoscale and Nanoscale Physics · Physics 2009-12-04 Hua Chen , Zi-Xiang Hu , Kun Yang , E. H. Rezayi , Xin Wan

We consider an electron in two dimensions submitted to a magnetic field and to the potential of impurities. We show that when the electron is confined to a half-space by a planar wall described by a smooth increasing potential, the total…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 N. Macris , Ph. A. Martin , J. V. Pule

We study the low energy edge states of bilayer graphene in a strong perpendicular magnetic field. Several possible simple boundaries geometries related to zigzag edges are considered. Tight-binding calculations reveal three types of edge…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 Victoria Mazo , Efrat Shimshoni , Herbert A. Fertig

We consider a class of interaction terms that describes correlated tunneling of composite fermions between effective Landau levels. Despite being generic and of similar strength to that of the usual density-density couplings, these terms…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Dror Orgad , Oded Agam

Quantum transport properties in quantum Hall wires in the presence of spatially correlated disordered magnetic fields are investigated numerically. It is found that the correlation drastically changes the transport properties associated…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Tohru Kawarabayashi , Yoshiyuki Ono , Tomi Ohtsuki , Stefan Kettemann , Alexander Struck , Bernhard Kramer

The quantum-Hall-effect (QHE) occurs in topologically-ordered states of two-dimensional (2d) electron-systems in which an insulating bulk-state coexists with protected 1d conducting edge-states. Owing to a unique topologically imposed…

Mesoscale and Nanoscale Physics · Physics 2013-05-02 Guohong Li , Adina Luican , Dmitry Abanin , Leonid Levitov , Eva Y. Andrei

High-frequency transport in the edge states of the quantum spin Hall (QSH) effect has to date rarely been explored, though it could cast light on the scattering mechanisms taking place therein. We here report on the measurement of the…

Exotic electronic states are realized in novel quantum materials. This field is revolutionized by the topological classification of materials. Such compounds necessarily host unique states on their boundaries. Scanning tunneling microscopy…

Mesoscale and Nanoscale Physics · Physics 2021-09-01 Nurit Avraham , Jonathan Reiner , Abhay Kumar-Nayak , Noam Morali , Rajib Batabyal , Binghai Yan , Haim Beidenkopf

We consider a system of weakly coupled wires with quantum Hall effect (QHE) and in the presence of a spatially periodic modulation of the chemical potential along the wire, equivalent to a charge density wave (CDW). We investigate the…

Mesoscale and Nanoscale Physics · Physics 2016-07-06 Paweł Szumniak , Jelena Klinovaja , Daniel Loss

Previous works on deformed graphene predict the existence of valley-polarized states, however, optimal conditions for their detection remain challenging. We show that in the quantum Hall regime, edge-like states in strained regions can be…

Mesoscale and Nanoscale Physics · Physics 2020-02-26 D. Faria , C. León , L. R. F. Lima , A. Latgé , N. Sandler

Edge magnetoplasmon is an emergent chiral bosonic mode promising for studying electronic quantum optics. While the plasmon transport has been investigated with various techniques for decades,its coupling to a mesoscopic device remained…

Mesoscale and Nanoscale Physics · Physics 2024-07-17 Chaojing Lin , Ko Futamata , Takafumi Akiho , Koji Muraki , Toshimasa Fujisawa

Two-dimensional multi-valley electronic systems in which the dispersion of individual pockets has low symmetry give rise to quantum Hall ferroelectric and nematic states in the presence of strong quantising magnetic fields. We investigate…

Strongly Correlated Electrons · Physics 2020-07-01 Pok Man Tam , Tongtong Liu , Inti Sodemann , Liang Fu

Using a new MBE growth technique, we fabricate a two-dimensional electron system which is bent around an atomically sharp 90 degree corner. In the quantum Hall regime under tilted magnetic fields, we can measure equilibration between both…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 M. Grayson , D. Schuh , M. Bichler , G. Abstreiter , L. Hoeppel , J. Smet , K. von Klitzing

The information content of one-electron bulk and edge states in semiconductor quantum wells is calculated in the inverted regime, where edge states, topologically protected, are responsible for the conduction in Spin Quantum Hall effect…

Mesoscale and Nanoscale Physics · Physics 2022-07-27 Natalia Giovenale , Omar Osenda

We demonstrate an innovative quantum Hall circuit with variable geometry employing the moveable electrostatic potential induced by a biased atomic force microscope tip. We exploit this additional degree of freedom to identify the…