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The quantum Hall effect is one of the most important developments in condensed matter physics of the 20th century. The standard explanations of the famous integer quantized Hall plateaus in the transverse resistivity are qualitative, and…

Mesoscale and Nanoscale Physics · Physics 2008-11-24 Tobias Kramer , Eric J. Heller , Robert E. Parrott , Chi-Te Liang , C. F. Huang , Kuang Yao Chen , Li-Hung Lin , Jau-Yang Wu , Sheng-Di Lin

To investigate quantum nature of two dimensional electrons subject to high perpendicular magnetic fields, usually a planar electronic Fabry-P\'erot interferometer is utilized. In this work, we investigate an interferometer defined on a…

Mesoscale and Nanoscale Physics · Physics 2015-03-20 S. Seyyare Aksu , Oguzhan Kasikci , A. Siddiki

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…

In this work, we focus on the finite frequency current-current correlations between edge states in a fractional quantum Hall two dimensional gas and on their relations to the quantum admittance. Using a refermionization method, we calculate…

Mesoscale and Nanoscale Physics · Physics 2013-10-04 Redouane Zamoum , Adeline Crépieux

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

Electrical currents in a quantum spin Hall insulator are confined to the boundary of the system. The charge carriers can be described as massless relativistic particles, whose spin and momentum are coupled to each other. While the helical…

We investigate the finite frequency (f.f.) noise properties of edge states in the quantum Hall regime. We consider the measurement scheme of a resonant detector coupled to a quantum point contact in the weak-backscattering limit. A detailed…

Strongly Correlated Electrons · Physics 2014-09-26 D. Ferraro , M. Carrega , A. Braggio , M. Sassetti

We present a current and charge conserving theory for the low frequency admittance of a two-dimensional electron gas connected to ideal metallic contacts and subject to a quantizing magnetic field. In the framework of the edge-channel…

Condensed Matter · Physics 2009-10-28 T. Christen , M. Buttiker

Electrical and thermal transport on a fractional quantum Hall edge are determined by topological quantities inherited from the corresponding bulk state. While electrical transport is the standard method for studying edges, thermal transport…

Mesoscale and Nanoscale Physics · Physics 2019-10-01 Christian Spånslätt , Jinhong Park , Yuval Gefen , Alexander D. Mirlin

Controlling the transmission of electrical current using a quantum point contact constriction paved a way to a large variety of experiments in mesoscopic physics. The increasing interest in heat transfer in such systems fosters questions…

Mesoscale and Nanoscale Physics · Physics 2017-12-25 Amir Rosenblatt , Fabien Lafont , Ivan Levkivskyi , Ron Sabo , Itamar Gurman , Daniel Banitt , Moty Heiblum , Vladimir Umansky

Quantum Hall (QH) edge channels appear not only along the edge of the electron gas but also along an interface between two QH regions with different filling factors. However, the fundamental transport characteristics of such interface…

Mesoscale and Nanoscale Physics · Physics 2021-09-22 Chaojing Lin , Masayuki Hashisaka , Takafumi Akiho , Koji Muraki , Toshimasa Fujisawa

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

The nature of edge state transport in quantum Hall systems has been studied intensely ever since Halperin [1] noted its importance for the quantization of the Hall conductance. Since then, there have been many developments in the study of…

Mesoscale and Nanoscale Physics · Physics 2018-09-12 Casey Nosiglia , Jinhong Park , Bernd Rosenow , Yuval Gefen

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

In this communication, we numerically studied disordered quantum transport in a quantum anomalous Hall insulator-superconductor junction based on the effective edge model approach. In particular, we focus on the parameter regime with the…

Superconductivity · Physics 2020-10-21 Jian-Xiao Zhang , Chao-Xing Liu

We compute the backscattered current in a double point-contact geometry of a Quantum Hall system at filling fraction $\nu=5/2$ as a function of bias voltage in the weak backscattering regime. We assume that the system is in the universality…

Strongly Correlated Electrons · Physics 2015-05-13 Waheb Bishara , Chetan Nayak

We study electron transport through a triple quantum dot in ring configuration at finite bias. In particular, we analyze the influence of a gate voltage that detunes one of the dots, such that one branch of the interferometer becomes…

Mesoscale and Nanoscale Physics · Physics 2011-01-11 Fernando Domínguez , Gloria Platero , Sigmund Kohler

Instability of quantum anomalous Hall (QAH) effect has been studied as function of electric current and temperature in ferromagnetic topological insulator thin films. We find that a characteristic current for the breakdown of the QAH effect…

Mesoscale and Nanoscale Physics · Physics 2017-08-02 Minoru Kawamura , Ryutaro Yoshimi , Atsushi Tsukazaki , Kei S. Takahashi , Masashi Kawasaki , Yoshinori Tokura

We measure the magneto-conductance through a micron-sized quantum dot hosting about 500 electrons in the quantum Hall regime. In the Coulomb blockade, when the island is weakly coupled to source and drain contacts, edge reconstruction at…

Confined to a two-dimensional plane, electrons in a strong magnetic field travel along the edge in one-dimensional quantum Hall channels that are protected against backscattering. These channels can be used as solid-state analogues of…