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Electrons that are confined to a single Landau level in a two dimensional electron gas realize the effects of strong electron-electron repulsion in its purest form. The kinetic energy of individual electrons is completely quenched and all…

Mesoscale and Nanoscale Physics · Physics 2018-07-18 David F. Mross , Yuval Oreg , Ady Stern , Gilad Margalit , Moty Heiblum

Recently,a half-quantized Hall conductance (HQHC) plateau is experimentally observed in a semi-magnetic topological insulator heterostructure. However,the heterostructure is metallic with a nonzero longitudinal conductance, which…

Mesoscale and Nanoscale Physics · Physics 2022-09-14 Humian Zhou , Hailong Li , Dong-Hui Xu , Chui-Zhen Chen , Qing-Feng Sun , X. C. Xie

The parity anomalous semimetal is a topological state of matter characterized by its semi-metallic nature and a quantum Hall conductance of one-half $e^{2}/h$ ($e$ is the elementary charge and $h$ is the Planck constant). Here we…

Mesoscale and Nanoscale Physics · Physics 2025-11-19 Shi-Hao Bi , Bo Fu , Shun-Qing Shen

We show that a two-dimensional topological superconductor (TSC) can be realized in a hybrid system with a conventional $s$-wave superconductor proximity-coupled to a quantum anomalous Hall (QAH) state from the Rashba and exchange effects in…

Mesoscale and Nanoscale Physics · Physics 2016-02-10 L. Wang , M. W. Wu

We study the quantum phase transitions of a disordered two-dimensional quantum anomalous Hall insulator with $s$-wave superconducting proximity, which are governed by the percolation theory of chiral Majorana fermions. Based on symmetry…

Mesoscale and Nanoscale Physics · Physics 2018-03-15 Biao Lian , Jing Wang , Xiao-Qi Sun , Abolhassan Vaezi , Shou-Cheng Zhang

Magnetically doped topological insulators have been extensively studied over the past decade as a material platform to exhibit quantum anomalous Hall effect. Most material realizations are magnetically doped and despite material advances…

Mesoscale and Nanoscale Physics · Physics 2024-01-17 Zhenisbek Tagay , Hee Taek Yi , Deepti Jain , Seongshik Oh , N. P. Armitage

We analytically compute the thermal Hall conductance (THC) of fractional quantum Hall droplets under realistic conditions that go beyond the idealized linear edge theory with conformal symmetry. Specifically, we consider finite-size effects…

Mesoscale and Nanoscale Physics · Physics 2025-10-21 Fei Tan , Yuzhu Wang , Xinghao Wang , Bo Yang

With the recent discovery of the quantum anomalous Hall insulator (QAHI), which exhibits the conductive quantum Hall edge states without external magnetic field, it becomes possible to create a novel topological superconductor (SC) by…

A semimagnetic topological insulator -- a heterostructure combining a topological insulator with a ferromagnet -- exhibits a half-quantized Hall effect, characterized by a quantized Hall conductance of $\frac{1}{2}\frac{e^{2}}{h}$ (where…

Disordered Systems and Neural Networks · Physics 2025-10-30 Shi-Hao Bi , Bo Fu , Shun-Qing Shen

Many robust physical phenomena in quantum physics are based on topological invariants arising due to intriguing geometrical properties of quantum states. Prime examples are the integer and fractional quantum Hall effects that demonstrate…

Superconductivity · Physics 2023-10-18 Hannes Weisbrich , Raffael L. Klees , Oded Zilberberg , Wolfgang Belzig

We propose a surface-edge state theory for half quantized Hall conductance of surface states in topological insulators. The gap opening of a single Dirac cone for the surface states in a weak magnetic field is demonstrated. We find a new…

Mesoscale and Nanoscale Physics · Physics 2011-08-29 Rui-Lin Chu , Junren Shi , Shun-Qing Shen

Transitions among quantum Hall plateaux share a suite of remarkable experimental features, such as semi-circle laws and duality relations, whose accuracy and robustness are difficult to explain directly in terms of the detailed dynamics of…

High Energy Physics - Theory · Physics 2013-02-11 Allan Bayntun , C. P. Burgess , Brian P. Dolan , Sung-Sik Lee

The $\nu = 2/3$ fractional quantum Hall state is the hole-conjugate state to the primary Laughlin $\nu = 1/3$ state. We investigate transmission of edge states through quantum point contacts fabricated on a GaAs/AlGaAs heterostructure…

Mesoscale and Nanoscale Physics · Physics 2023-03-01 James Nakamura , Shuang Liang , Geoffrey C. Gardner , Michael J. Manfra

We study the electronic transport of heterojunctions made of chiral topological superconductors (TSCs) with $N$ chiral Majorana fermion modes and quantum Hall insulators (QHIs) with integer Chern number $C$. In the weak disorder regime, we…

Mesoscale and Nanoscale Physics · Physics 2019-01-23 Biao Lian , Jing Wang

We study transport along interfaced edge segments of fractional quantum Hall states hosting non-Abelian Majorana modes. With an incoherent model approach, we compute, for edge segments based on Pfaffian, anti-Pfaffian, and…

Mesoscale and Nanoscale Physics · Physics 2023-10-24 Michael Hein , Christian Spånslätt

Low carrier densities in topological semimetals (TSMs) enable the exploration of novel magnetotransport in the quantum limit (QL). Recent findings consistent with 3D quasi-quantum Hall effect (QQHE) have positioned TSMs as promising…

Thermal signatures of fractionalized excitations are a fingerprint of quantum spin liquids (QSLs). In the $J_{eff}=1/2$ honeycomb magnet $\alpha$-RuCl$_3$, a QSL state emerges upon applying an in-plane magnetic field $H_{||}$ greater than…

Strongly Correlated Electrons · Physics 2022-06-01 J. A. N. Bruin , R. R. Claus , Y. Matsumoto , N. Kurita , H. Tanaka , H. Takagi

We measure the conductance of a quantum point contact (QPC) while the biased tip of a scanning probe microscope induces a depleted region in the electron gas underneath. At finite magnetic field we find plateaus in the real-space maps of…

Mesoscale and Nanoscale Physics · Physics 2014-03-17 Nikola Pascher , Clemens Rössler , Thomas Ihn , Klaus Ensslin , Christian Reichl , Werner Wegscheider

This is a short note presenting a repeated experiment of the half-quantized transport signature given by Majorana chiral modes living in a heterostructure formed by an s-wave superconductor and a quantum-anomalous-Hall insulator.

Superconductivity · Physics 2019-04-30 Peng Zhang , Lei Pan , Gen Yin , Qing-Lin He , Kang L. Wang

Two dimensional topological superconductors with chiral edge modes are predicted to posses a quantized thermal Hall effect proportional to the Chern number, exactly half that for chiral topological insulators. However not much work has been…

Mesoscale and Nanoscale Physics · Physics 2023-11-10 Szczepan Głodzik , Nicholas Sedlmayr