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We present a detailed theory of transport through line junctions formed by counterpropagating single-branch fractional-quantum-Hall edge channels having different filling factors. Intriguing transport properties are exhibited when strong…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 U. Zuelicke , E. Shimshoni

Quantum anomalous Hall (QAH) insulators exhibit chiral edge channels characterized by vanishing longitudinal conductance and quantized Hall conductance of Ce2/h, wherein the Chern number C is an integer equal to the number of the parallel…

Mesoscale and Nanoscale Physics · Physics 2024-01-05 Peng Deng , Yulei Han , Peng Zhang , Su Kong Chong , Zhenhua Qiao , Kang L. Wang

The quantum anomalous Hall (QAH) effect is predicted to possess, at zero magnetic field, chiral edge channels that conduct spin polarized current without dissipation. While edge channels have been observed in previous experimental studies…

Mesoscale and Nanoscale Physics · Physics 2015-08-20 Cui-Zu Chang , Weiwei Zhao , Duk Y. Kim , Peng Wei , J. K. Jain , Chaoxing Liu , Moses H. W. Chan , Jagadeesh S. Moodera

Chiral superconductors exhibit novel transport properties that depend on the topology of the order parameter, topology of the Fermi surface, the spectrum of bulk and edge Fermionic excitations, and the structure of the impurity potential.…

Superconductivity · Physics 2020-04-15 Vudtiwat Ngampruetikorn , J. A. Sauls

In recent breakthrough experiments, twisted moir\'e layers of transition metal dichalcogenides are found to manifest both integer (IQAHE) and fractional (FQAHE) quantum anomalous Hall effects in zero applied magnetic field because of the…

Mesoscale and Nanoscale Physics · Physics 2024-03-29 Sankar Das Sarma , Ming Xie

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 frictionless, directional propagation of particles at the boundary of topological materials is one of the most striking phenomena in transport. These chiral edge modes lie at the heart of the integer and fractional quantum Hall effects,…

The intriguing interplay between topology and superconductivity has attracted significant attention, given its potential for realizing topological superconductivity. In the quantum anomalous Hall insulators (QAHIs)-based junction, the…

Mesoscale and Nanoscale Physics · Physics 2024-11-12 Junjie Qi , Haiwen Liu , Jie Liu , Hua Jiang , Dong E. Liu , Chui-Zhen Chen , Ke He , X. C. Xie

It is well known that quantum spin Hall (QSH) edge modes being helical are immune to backscattering due to non-magnetic disorder within the sample. Thus, quantum spin Hall edge modes are non-localized and show a vanishing Hall resistance…

Mesoscale and Nanoscale Physics · Physics 2019-12-13 Arjun Mani , Colin Benjamin

The physics of a junction composed of a normal metal, quantum dot and 2D topological insulator (in a quantum spin Hall state) is elucidated. It maifests a subtle combination of Kondo correlations and quantum spin Hall edge states moving on…

Strongly Correlated Electrons · Physics 2013-05-30 Igor Kuzmenko , Anatoly Golub , Yshai Avishai

The realization of fractional Chern insulators in moir\'e materials has sparked the search for further novel phases of matter in this platform. In particular, recent works have demonstrated the possibility of realizing quantum anomalous…

Mesoscale and Nanoscale Physics · Physics 2025-07-29 Raul Perea-Causin , Hui Liu , Emil J. Bergholtz

The half-quantized Hall conductance is characteristic of quantum systems with parity anomaly. Here we investigate topological and transport properties of a class of parity anomalous semimetals, in which massive Dirac fermions coexist with…

Mesoscale and Nanoscale Physics · Physics 2022-05-18 Jin-Yu Zou , Bo Fu , Huan-Wen Wang , Zi-Ang Hu , Shun-Qing Shen

We studied the tunnel transport between the edge of a Pfaffian fractional quantum Hall state and that of an integer quantum Hall state. Based on the duality argument between the strong and weak tunnelings, we found that an Andreev-like…

Mesoscale and Nanoscale Physics · Physics 2024-05-10 Ryoi Ohashi , Ryota Nakai , Takehito Yokoyama , Yukio Tanaka , Kentaro Nomura

We numerically investigate the transport properties of disordered interacting electrons in three dimensions in the metallic as well as in the insulating phases. The disordered many-particle problem is modeled by the quantum Coulomb glass…

Mesoscale and Nanoscale Physics · Physics 2016-04-20 Thomas Vojta , Frank Epperlein

The conductance in two-dimensional (2D) normal-superconducting (NS) systems is analyzed in the limit of strong magnetic fields when the transport is mediated by the electron-hole states bound to the sample edges and NS interface, i.e., in…

Superconductivity · Physics 2010-08-03 I. M. Khaymovich , N. M. Chtchelkatchev , I. A. Shereshevskii , A. S. Mel'nikov

We consider a coupled system of Dirac operators that models spin- and valley-polarized gated rhombohedral graphene (RHG) with an arbitrary number of layers. We classify all quantum anomalous Hall phases that are compatible with the model…

Mesoscale and Nanoscale Physics · Physics 2026-04-20 Matthew Frazier , Guillaume Bal

The nature of a metal--insulator transition tuned by external gates in quantum Hall (QH) systems with point constrictions at integer bulk filling, as reported in recent experiments of Roddaro et al. [1], is addressed. We are particularly…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Emiliano Papa , Tilo Stroh

A single massive Dirac surface band is predicted to exhibit a half-quantized Hall conductance, a hallmark of the C = 1/2 parity anomaly state in quantum field theory. Experimental signatures of the C = 1/2 parity anomaly state have been…

Mesoscale and Nanoscale Physics · Physics 2026-04-28 Deyi Zhuo , Bomin Zhang , Humian Zhou , Han Tay , Xiaoda Liu , Zhiyuan Xi , Chui-Zhen Chen , Cui-Zu Chang

A junction of two 2/3 fractional quantum Hall (FQH) edges, with no charge tunneling between them, may exhibit Anderson localization of neutral modes. Manifestations of such localization in transport properties of the junction are explored.…

Mesoscale and Nanoscale Physics · Physics 2024-10-10 Jinhong Park , Moshe Goldstein , Yuval Gefen , Alexander D. Mirlin , Jukka I. Väyrynen

Electron correlation and topology are two central threads of modern condensed matter physics. Semiconductor moir\'e materials provide a highly tunable platform for studies of electron correlation. Correlation-driven phenomena, including the…

Mesoscale and Nanoscale Physics · Physics 2021-12-28 Tingxin Li , Shengwei Jiang , Bowen Shen , Yang Zhang , Lizhong Li , Trithep Devakul , Kenji Watanabe , Takashi Taniguchi , Liang Fu , Jie Shan , Kin Fai Mak