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We report on theoretical and experimental investigations of the integer quantized Hall effect in narrow channels at various mobilities. The Hall bars are defined electrostatically in two-dimensional electron systems by biasing metal gates…

介观与纳米尺度物理 · 物理学 2009-11-13 J. Horas , A. Siddiki , J. Moser , W. Wegscheider , S. Ludwig

The edge states of a sample displaying the quantum Hall effect (QHE) can be described by a 1+1 dimensional (conformal) field theory of $d$ massless scalar fields taking values on a $d$-dimensional torus. It is known from the work of…

高能物理 - 理论 · 物理学 2009-10-28 A. P. Balachandran , L. Chandar , B. Sathiapalan

It is shown that the observed Quantum Hall Effect in epitaxial layers of heavily doped n-type GaAs with thickness (50-140 nm) larger the mean free path of the conduction electrons (15-30 nm) and, therefore, with a three-dimensional…

介观与纳米尺度物理 · 物理学 2009-10-31 S. S. Murzin , I. Claus , A. G. M. Jansen , N. T. Moshegov , A. I. Toropov , K. Eberl

We study the quantum dynamics in response to time-dependent external potentials of the edge modes of a small fractional quantum Hall fluid composed of few particles on a lattice in a bosonic Laughlin-like state at filling {\nu} = 1/2. We…

介观与纳米尺度物理 · 物理学 2024-12-12 Alberto Nardin , Daniele De Bernardis , Rifat Onur Umucalilar , Leonardo Mazza , Matteo Rizzi , Iacopo Carusotto

The unusual electronic properties of the quantum spin Hall or Chern insulator become manifest in the form of robust edge states when samples with boundaries are studied. In this work, we ask if and how the topologically non-trivial…

介观与纳米尺度物理 · 物理学 2013-10-23 Andreas Rüegg , Sinisa Coh , Joel E. Moore

The absence of a characteristic momentum scale in the pseudo-potential description of atomic interaction in ultracold (two-component Fermi) gases is known to lead to divergence in perturbation theory. Here we show that they also plague the…

量子气体 · 物理学 2019-06-26 Chen-How Huang , Miguel A. Cazalilla

Recent theoretical works have demonstrated various robust Abelian and non-Abelian fractional topological phases in lattice models with topological flat bands carrying Chern number C=1. Here we study hard-core bosons and interacting fermions…

强关联电子 · 物理学 2012-11-07 Yi-Fei Wang , Hong Yao , Chang-De Gong , D. N. Sheng

We study the quantum self-organization of interacting particles in one-dimensional(1D) many-body systems, modeled via Hubbard chains with short-range interactions between the particles. We show the emergence of 1D states with density-wave…

强关联电子 · 物理学 2021-04-06 Ioannis Kleftogiannis , Ilias Amanatidis

We derive the implications of particle-vortex duality for the electromagnetic response of Quantum Hall systems beyond the linear-response regime. This provides a first theoretical explanation of the remarkable duality which has been…

介观与纳米尺度物理 · 物理学 2009-11-07 B. P. Dolan , C. P. Burgess

The fractional quantum Hall effect (FQHE) is theoretically investigated, with numerical and algebraic approaches, in assemblies of a few spinful ultracold neutral fermionic atoms, interacting via repulsive contact potentials and confined in…

量子气体 · 物理学 2020-10-20 Constantine Yannouleas , Uzi Landman

The Hall viscosity describes a non-dissipative response to strain in systems with broken time-reversal symmetry. We develop a new method for computing the Hall viscosity of lattice systems in strong magnetic fields based on momentum…

介观与纳米尺度物理 · 物理学 2015-11-04 Thomas I. Tuegel , Taylor L. Hughes

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…

介观与纳米尺度物理 · 物理学 2024-01-17 Zhenisbek Tagay , Hee Taek Yi , Deepti Jain , Seongshik Oh , N. P. Armitage

We study the quantum Hall effect (QHE) in the three-dimensional topological insulator HgTe, which features topological Dirac-type surface states in a bulk gap opened by strain. Despite the co-existence of multiple carrier subsystems, the…

介观与纳米尺度物理 · 物理学 2024-10-25 S. Hartl , L. Freund , M. Kühn , J. Ziegler , E. Richter , W. Himmler , J. Bärenfänger , D. A. Kozlov , N. N. Mikhailov , J. Weis , D. Weiss

Quantum Hall effect (QHE) is one of the most fruitful research topics in condensed-matter physics. Ordinarily, the QHE manifests in a ground state with time-reversal symmetry broken by magnetization to carry a quantized chiral edge…

材料科学 · 物理学 2023-03-15 Yinong Zhou , Gurjyot Sethi , Hang Liu , Zhengfei Wang , Feng Liu

We study the quantum Hall effect(QHE) on the Kagom\'{e} lattice with anisotropy in one of the hopping integrals. We find a new type of QHE characterized by the quantization rules for Hall conductivity $\sigma_{xy}=2ne^{2}/h$ and Landau…

介观与纳米尺度物理 · 物理学 2009-11-11 Shun-Li Yu , Jian-Xin Li , Li Sheng

We discover a new topological excitation of two dimensional electrons in the quantum Hall regime. The strain dependence of resistivity is shown to change sign upon crossing filling-factor-specified boundaries of reentrant integer quantum…

介观与纳米尺度物理 · 物理学 2013-11-14 Tzu-ging Lin , George Simion , John D. Watson , Michael J. Manfra , Gabor A. Csathy , Yuli Lyanda-Geller , Leonid P. Rokhinson

We study the tunable quantum Hall effects in a non-Abelian honeycomb optical lattice which is a many-Dirac-points system. We find that the quantum Hall effects present different features as change as relative strengths of several…

强关联电子 · 物理学 2015-12-21 Ling Li , Ningning Hao , Guocai Liu , Zhiming Bai , Zai-Dong Li , Shu Chen , Wu-Ming Liu

We study the Hall response of quasi-two-dimensional lattice systems of charged fermions under a weak transverse magnetic field, in the ballistic coherent limit. We identify a setup in which this response vanishes over a wide range of…

介观与纳米尺度物理 · 物理学 2019-08-28 Michele Filippone , Charles-Edouard Bardyn , Sebastian Greschner , Thierry Giamarchi

A two-dimensional quantum Hall system is studied for a wide class of potentials including single-body random potentials and repulsive electron-electron interactions. We assume that there exists a non-zero excitation gap above the ground…

介观与纳米尺度物理 · 物理学 2007-05-23 Tohru Koma

We consider the vortex state of d-wave superconductors in the clean limit. Within the linearized approximation the quasiparticle bands obtained are found to posess Dirac cone dispersion (band touchings) at special points in the Brillouin…

超导电性 · 物理学 2009-11-07 Ashvin Vishwanath
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