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We show that partially separated Andreev bound states (ps-ABSs), comprised of pairs of overlapping Majorana bound states (MBSs) emerging in quantum dot-semiconductor-superconductor heterostructures, produce robust zero bias conductance…

介观与纳米尺度物理 · 物理学 2018-10-24 C. Moore , Chuanchang Zeng , T. D. Stanescu , Sumanta Tewari

The Hall effect, the anomalous Hall effect and the spin Hall effect are fundamental transport processes in solids arising from the Lorentz force and the spin-orbit coupling respectively. The quantum versions of the Hall effect and the spin…

介观与纳米尺度物理 · 物理学 2010-07-13 Rui Yu , Wei Zhang , H. J. Zhang , S. C. Zhang , Xi Dai , Zhong Fang

In magnetically doped thin-film topological insulators, aligning the magnetic moments generates a quantum anomalous Hall phase supporting a single chiral edge state. We show that as the system de-magnetizes, disorder from randomly oriented…

介观与纳米尺度物理 · 物理学 2019-07-30 Arbel Haim , Roni Ilan , Jason Alicea

A recent experiment [Cohen et al., Science 382, 542 (2023)] observed a robustly quantized $e^2/2h$ conductance in a quantum point contact between fractional quantum Hall edges (a quantum Hall transformer), which then vanishes at low…

介观与纳米尺度物理 · 物理学 2026-01-23 Stuart Yi-Thomas , Jay D. Sau

Motivated by the unique dispersions close to the two dimensional band crossing in a topologically charged nodal surface semimetal (NSSM) spectrum, we perform theoretical analysis of quantum tunnelling through a junction consisting of such…

介观与纳米尺度物理 · 物理学 2026-01-27 Bhaskar Pandit , Debabrata Sinha , Satyaki Kar

In this paper, we introduce a two-dimensional fractional topological superconductor (FTSC) as a strongly correlated topological state which can be achieved by inducing superconductivity into an Abelian fractional quantum Hall state, through…

强关联电子 · 物理学 2013-01-28 Abolhassan Vaezi

Quantum anomalous Hall (QAH) effect in magnetic topological insulator (TI) is a novel transport phenomenon in which the Hall resistance reaches the quantum plateau in the absence of external magnetic field. Recently, this exotic effect has…

We study the quantum Hall effect in the surface states of topological insulator in the presence of a perpendicular magnetic field in the framework of edge states. Motion of Dirac fermions will form descrete Landau levels, among which a…

介观与纳米尺度物理 · 物理学 2009-09-24 Shun-Qing Shen

A three-dimensional (3D) topological insulator (TI) is a quantum state of matter with a gapped insulating bulk yet a conducting surface hosting topologically-protected gapless surface states. One of the most distinct electronic transport…

介观与纳米尺度物理 · 物理学 2015-01-06 Yang Xu , Ireneusz Miotkowski , Chang Liu , Jifa Tian , Hyoungdo Nam , Nasser Alidoust , Jiuning Hu , Chih-Kang Shih , M. Zahid Hasan , Yong P. Chen

Quantum anomalous Hall (QAH) insulators are two-dimensional (2D) insulating states exhibiting properties similar to those of quantum Hall states but without external magnetic field. They have quantized Hall conductance $\sigma^H=Ce^2/h$,…

介观与纳米尺度物理 · 物理学 2014-01-29 Chen Fang , Matthew J. Gilbert , B. Andrei Bernevig

Topological superconductors (TSCs) have a full gap in the bulk and gapless surface states consisting of Majorana fermions, which have potential applications in fault-tolerant topological quantum computation. Because TSCs are very rare in…

The discovery that spin-orbit coupling can generate a new state of matter in the form of quantum spin-Hall (QSH) insulators has brought topology to the forefront of condensed matter physics. While QSH states from spin-orbit coupling can be…

强关联电子 · 物理学 2019-06-18 Yuhai Liu , Zhenjiu Wang , Toshihiro Sato , Martin Hohenadler , Chong Wang , Wenan Guo , Fakher F. Assaad

The unconventional (half-integer) quantum Hall effect for a single species of Dirac fermions is analyzed. We discuss possible experimental measurements of the half-integer Hall conductance $g_{xy}$ of topological insulator surface states…

介观与纳米尺度物理 · 物理学 2014-11-05 E. J. König , P. M. Ostrovsky , I. V. Protopopov , I. V. Gornyi , I. S. Burmistrov , A. D. Mirlin

Confinement of small-gapped fractional quantum Hall states facilitates quasiparticle manipulation and is an important step towards quasiparticle interference measurements. Demonstrated here is conduction through top gate defined, narrow…

介观与纳米尺度物理 · 物理学 2009-11-13 R. L. Willett , M. J. Manfra , L. N. Pfeiffer , K. W. West

We investigate the longitudinal conductance of a disordered three-dimensional (3D) quantum Hall system within a tight-binding lattice model using numerical Thouless conductance calculations. For the bulk, we confirm that the mobility edges…

无序系统与神经网络 · 物理学 2020-08-18 Chao Zheng , Kun Yang , Xin Wan

The quantum spin Hall (QSH) effect has attracted extensive research interest because of the potential applications in spintronics and quantum computing, which is attributable to two conducting edge channels with opposite spin polarization…

We have recently identified a protected topological semimetal in graphene which presents a zero-energy edge mode robust to disorder and interactions. Here, we address the characteristics of this semimetal and show that the $\mathbb{Z}$…

介观与纳米尺度物理 · 物理学 2025-12-15 Karyn Le Hur , Sariah Al Saati

The experimental observation of the long-sought quantum anomalous Hall effect was recently reported in magnetically doped topological insulator thin films [Chang et al., Science 340, 167 (2013)]. An intriguing observation is a rapid…

介观与纳米尺度物理 · 物理学 2013-10-04 Hai-Zhou Lu , An Zhao , Shun-Qing Shen

We present a microscopic model for calculating the AC conductivity of a finite length line junction made up of two counter or co-propagating single mode quantum Hall edges with possibly different filling fractions. The effect of…

介观与纳米尺度物理 · 物理学 2015-05-13 Amit Agarwal , Diptiman Sen

Quantum point contact devices are indispensable tools for probing the edge structure of the fractional quantum Hall (FQH) states. Recent observations of quantized conductance plateaus accompanied by shot noise in such devices, as well as…

介观与纳米尺度物理 · 物理学 2020-03-04 Christian Spånslätt , Jinhong Park , Yuval Gefen , Alexander D. Mirlin