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One of the most intriguing and fundamental properties of topological materials is the correspondence between the conducting edge states and the gapped bulk spectrum. So far, it has been impossible to access the full evolution of edge states…

When electrons are subject to a large external magnetic field, the conventional charge quantum Hall effect \cite{Klitzing,Tsui} dictates that an electronic excitation gap is generated in the sample bulk, but metallic conduction is permitted…

Mesoscale and Nanoscale Physics · Physics 2009-10-14 D. Hsieh , D. Qian , L. Wray , Y. Xia , Y. S. Hor , R. J. Cava , M. Z. Hasan

This review presents experimental results on the inter-edge-state transport in the quantum Hall effect, mostly obtained in the regime of high imbalance. The application of a special geometry makes it possible to perform I-V spectroscopy…

Mesoscale and Nanoscale Physics · Physics 2008-03-19 E. V. Deviatov , A. Lorke

We study how the radiative properties of a dense ensemble of atoms can be modified when they are placed near or between metallic or dielectric surfaces. If the average separation between the atoms is comparable or smaller than the…

Quantum Physics · Physics 2018-06-06 Ryan Jones , Jemma A. Needham , Igor Lesanovsky , Francesco Intravaia , Beatriz Olmos

We investigate edge and bulk states in Weyl-orbit based quantum Hall effect by measuring a Corbino-type device fabricated from a topological Dirac semimetal (Cd1-xZnx)3As2 film. Clear quantum Hall plateaus are observed when measuring…

The effects of impurity scattering on a general Abelian fractional quantum Hall (FQH) edge state are analyzed within the chiral-Luttinger-liquid model of low-energy edge dynamics. We find that some disordered edges can have several…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Joel E. Moore , Xiao-Gang Wen

The diffusion of electronic wave packets in one-dimensional systems with on-site, binary disorder is numerically investigated within the framework of a single-band tight-binding model. Fractal properties are incorporated by assuming that…

Disordered Systems and Neural Networks · Physics 2008-07-07 P. R. Wells , J. d'Albuquerque e Castro , S. L. A. de Queiroz

Quantized bulk quadrupole moment has unveiled a nontrivial boundary state, exhibiting lower-dimensional topological edge states and simultaneously hosting the in-gap corner modes of zero dimension. All state-of-the-art strategies for…

Mesoscale and Nanoscale Physics · Physics 2022-09-22 Guoqiang Xu , Xue Zhou , Jing Wu , Cheng-Wei Qiu

We consider the edge of a two-dimensional electron system that is in the quantum-Hall-effect regime at filling factor 1-1/m with m being an odd integer, where microscopic theory explaining the occurrence of the quantum Hall effect in the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 U. Zuelicke , A. H. MacDonald , M. D. Johnson

Edge states reflect the key physical properties yet are difficult to probe individually, particularly when several states are present at an edge. We present momentum resolved tunneling spectroscopy between a quantum well and a quantum wire…

We investigate the possibility of a strongly correlated Fractional Quantum Hall (FQH) state in bulk three dimensional isotropic (not layered) materials. We find that a FQH state can exist at low densities only if it is accompanied by a…

Mesoscale and Nanoscale Physics · Physics 2011-07-13 F. J. Burnell , B. Andrei Bernevig , D. P. Arovas

An importent question regarding the dissipation-less current carried by the edge states in a quantum Hall system is understanding the results of the electrodynamical interaction among the mobile electrons in the quantum mechanical limit…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 B. Karmakar , G. H. Dohler , B. M. Arora

Band crossings observed in a wide range of condensed matter systems are recognized as a key to understand low-energy fermionic excitations that behave as massless Dirac particles. Despite rapid progress in this field, the exploration of…

Mesoscale and Nanoscale Physics · Physics 2020-12-16 Boyuan Zhang , Nobuya Maeshima , Ken-ichi Hino

The quantum anomalous Hall (QAH) effect, with its single chiral, topologically protected edge state, offers a platform for flying Majorana states as well as non-reciprocal microwave devices. While recent research showed the non-reciprocity…

The quantum geometry, comprising Berry curvature and quantum metric, plays a fundamental role in governing electron transport phenomena in solids. Recent studies show that the quantum metric dipole drives scattering-free nonlinear Hall…

Mesoscale and Nanoscale Physics · Physics 2025-08-12 Tong-Yang Zhao , An-Qi Wang , Zhen-Tao Zhang , Zheng-Yang Cao , Xing-Yu Liu , Zhi-Min Liao

Subwavelength arrays of plasmonic nanoparticles allow us to control the behaviour of light at the nanoscale. Here, we develop an eigenmode analysis, employing a coupled electromagnetic dipole formalism, which permits us to isolate the…

Mesoscale and Nanoscale Physics · Physics 2026-05-18 Álvaro Buendía , José Luis Pura , Vincenzo Giannini , José Antonio Sánchez Gil

Recent advancement in laser technology has opened the path toward the manipulation of functionalities in quantum materials by intense coherent light. Here, we study three-dimensional (3D) Dirac electrons driven by circularly polarized light…

Mesoscale and Nanoscale Physics · Physics 2023-01-18 Yoshua Hirai , Naotaka Yoshikawa , Masashi Kawaguchi , Masamitsu Hayashi , Shun Okumura , Takashi Oka , Ryo Shimano

An ab initio simulation of strong-field photodissociation of diatomic molecules was developed, inspired by recent dissociation experiments of F2-. The transition between electronic states was modeled, including the laser pulse and…

Atomic Physics · Physics 2020-06-26 Bar Ezra , Shimshon Kallush , Ronnie Kosloff

We present an analytic prescription for computing the edge dispersion E(k) of a tight-binding Dirac Hamiltonian terminated at an abrupt crystalline edge. Specifically, we consider translationally invariant Dirac Hamiltonians with…

Mesoscale and Nanoscale Physics · Physics 2011-09-15 Roger S. K. Mong , Vasudha Shivamoggi

We theoretically investigate the far-field scattering properties of multiphoton super- and subradiant states which can be prepared by multiphoton excitations with orbital angular momentum (OAM).\ Due to multiphoton interference, the…

Quantum Physics · Physics 2019-03-06 H. H. Jen
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