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Since the ground-breaking discovery of the quantum Hall effect, half-quantized quantum Hall plateaus have been some of the most studied and sought-after states. Their importance stems not only from the fact that they transcend the composite…

The quantum Hall liquid is a novel state of matter with profound emergent properties such as fractional charge and statistics. Existence of the quantum Hall effect requires breaking of the time reversal symmetry caused by an external…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 B. Andrei Bernevig , Shou-Cheng Zhang

The discovery of the integer quantum Hall effect in the early eighties of the last century, with highly precise quantization values for the Hall conductance in multiples of $e^2/h$, has been the first fascinating manifestation of the…

Mesoscale and Nanoscale Physics · Physics 2017-01-10 Alessandro Cresti , Branislav K. Nikolić , Jose Hugo García , Stephan Roche

We employ a quantum Liouville equation with relaxation to model the recently observed anomalous Hall effect in graphene irradiated by an ultrafast pulse of circularly polarized light. In the weak-field regime, we demonstrate that the Hall…

Mesoscale and Nanoscale Physics · Physics 2019-06-19 S. A. Sato , J. W. McIver , M. Nuske , P. Tang , G. Jotzu , B. Schulte , H. Hübener , U. De Giovannini , L. Mathey , M. A. Sentef , A. Cavalleri , A. Rubio

We investigate the integer quantum Hall effect in Cd3As2 thin films under conditions of strong to moderate quantum confinement (thicknesses of 10 nm, 12 nm, 15 nm). In all the films, we observe the integer quantum Hall effect in the…

Mesoscale and Nanoscale Physics · Physics 2022-11-23 Run Xiao , Junyi Zhang , Juan Chamorro , Jinwoong Kim , Tyrel M. McQueen , David Vanderbilt , Morteza Kayyalha , Yi Li , Nitin Samarth

We examine strain-induced quantized Landau levels in graphene. Specifically, arc-bend strains are found to cause nonuniform pseudomagnetic fields. Using an effective Dirac model which describes the low-energy physics around the nodal…

Mesoscale and Nanoscale Physics · Physics 2012-09-05 Yichen Chang , Tameem Albash , Stephan Haas

The quantum Hall effect was originally observed in a two-dimensional electron gas forming Landau levels when exposed to a strong perpendicular magnetic field and was later generalized to Chern insulators without net magnetization. Here,…

Mesoscale and Nanoscale Physics · Physics 2025-11-04 Benjamin Michen , Jan Carl Budich

In this letter we report on transport measurements of epitaxial graphene on SiC(0001) with oxygen adsorption. In a $50\times 50 \mu\mathrm{m^2}$ size Hall bar we observe the half-integer quantum Hall effect with a transverse resistance…

Mesoscale and Nanoscale Physics · Physics 2012-07-13 E. Pallecchi , M. Ridene , D. Kazazis , C. Mathieu , F. Schopfer , W. Poirier , D. Mailly , A. Ouerghi

The anomalous Hall effect in metal-insulator-semiconductor structures having thin (Ga,Mn)As layers as a channel has been studied in a wide range of Mn and hole densities changed by the gate electric field. Strong and unanticipated…

Materials Science · Physics 2015-03-17 D. Chiba , A. Werpachowska , M. Endo , Y. Nishitani , F. Matsukura , T. Dietl , H. Ohno

We propose realizing the quantum anomalous Hall effect by proximity coupling graphene to an antiferromagnetic insulator that provides both broken time-reversal symmetry and spin-orbit coupling. We illustrate our idea by performing ab initio…

Mesoscale and Nanoscale Physics · Physics 2015-01-21 Zhenhua Qiao , Wei Ren , Hua Chen , L. Bellaiche , Zhenyu Zhang , A. H. MacDonald , Qian Niu

We have revealed from a numerical study that the optical Hall conductivity $\sigma_{xy}(\omega)$ has a characteristic feature even in the ac ($\sim$ THz) regime in that the Hall plateaus are retained both in the ordinary two-dimensional…

Mesoscale and Nanoscale Physics · Physics 2009-09-16 Takahiro Morimoto , Yasuhiro Hatsugai , Hideo Aoki

Theoretical investigation of Dirac electrons in electrically modulated graphene under perpendicular magnetic field B is presented. We have carried out a detailed study of modulation effect on Dirac electrons, which determine its electrical…

Mesoscale and Nanoscale Physics · Physics 2023-11-21 M Arsalan Ali

Strongly correlated electron liquids which occur in quantizing magnetic fields reveal a cornucopia of fascinating quantum phenomena such as fractionally charged quasiparticles, anyonic statistics, topological order, and many others. Probing…

Mesoscale and Nanoscale Physics · Physics 2010-03-09 D. A. Abanin , I. Skachko , X. Du , E. Y. Andrei , L. S. Levitov

It is known that the Shubnikov--de Haas oscillations can be observed in the Hall resistivity, although their amplitude is much weaker than the amplitude of the diagonal resistivity oscillations. Employing a model of two-dimensional massive…

Strongly Correlated Electrons · Physics 2016-02-23 V. Yu. Tsaran , S. G. Sharapov

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…

Mesoscale and Nanoscale Physics · Physics 2014-11-05 E. J. König , P. M. Ostrovsky , I. V. Protopopov , I. V. Gornyi , I. S. Burmistrov , A. D. Mirlin

One- and two-layer graphene have recently been shown to feature new physical phenomena such as unconventional quantum Hall effects and prospects of supporting a non-silicon technological platform using epitaxial graphene. While both one-…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 C. P. Puls , N. E. Staley , Y. Liu

We report the discovery of the half-quantized mirror Hall effect, a novel quantum-anomaly induced by mirror symmetry in a strong topological insulator (TI) film. These films are known to host a pair of gapless Dirac cones associated with…

Mesoscale and Nanoscale Physics · Physics 2024-02-06 Bo Fu , Kai-Zhi Bai , Shun-Qing Shen

Low-energy electronic states in monolayer and bilayer graphenes present chiral charge carriers with unique and unusual properties of interest for electronic applications. Here, we report the magnetotransport measurements in the ABC-stacked…

Strongly Correlated Electrons · Physics 2011-12-05 Liyuan Zhang , Yan Zhang , J. Camacho , M. Khodas , I. A. Zaliznyak

The quantum Hall effect (QHE), one example of a quantum phenomenon that occur on a truly macroscopic scale, has been attracting intense interest since its discovery in 1980 and has helped elucidate many important aspects of quantum physics.…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 K. S. Novoselov , Z. Jiang , Y. Zhang , S. V. Morozov , H. L. Stormer , U. Zeitler , J. C. Maan , G. S. Boebinger , P. Kim , A. K. Geim

Hall effects are investigated for three-dimensional Dirac electrons as a model of bismuth alloys. It is found that there is unconventional contributions to the Hall conductivity $\sigma_{xy}$ generated by the interband effects of a magnetic…

Materials Science · Physics 2009-02-12 Yuki Fuseya , Masao Ogata , Hidetoshi Fukuyama