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The observed quantization of the Hall conductivity in graphene at high magnetic fields is explained as being due to the dynamically generated spatial modulation of either the electron spin or the density, as decided by the details of…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Igor F. Herbut

The anomalous Hall effect is deemed to be a unique transport property of ferromagnetic metals, caused by the concerted action of spin polarization and spin-orbit coupling. Nevertheless, recent experiments have shown that the effect also…

Mesoscale and Nanoscale Physics · Physics 2016-04-06 Steven S. -L. Zhang , Giovanni Vignale

We have studied the effect of an in-plane magnetic field on Hall field-induced resistance oscillations in high mobility two-dimensional electron systems. We have found that the oscillation frequency depends only on the perpendicular…

Mesoscale and Nanoscale Physics · Physics 2015-03-17 A. T. Hatke , M. A. Zudov , L. N. Pfeiffer , K. W. West

We propose an experimental scheme to realize and detect the quantum anomalous Hall effect in an anisotropic square optical lattice which can be generated from available experimental set-ups of double-well lattices with minor modifications.…

Strongly Correlated Electrons · Physics 2015-03-13 Xiong-Jun Liu , Xin Liu , Congjun Wu , Jairo Sinova

Recent experiments reported an antisymmetric planar Hall effect, where the Hall current is odd in the in-plane magnetic field and scales linearly with both electric and magnetic fields applied. Existing theories rely exclusively on a spin…

Mesoscale and Nanoscale Physics · Physics 2024-03-12 Hui Wang , Yue-Xin Huang , Huiying Liu , Xiaolong Feng , Jiaojiao Zhu , Weikang Wu , Cong Xiao , Shengyuan A. Yang

By studying the quantum Hall effect of stationary states with high values of injected current using a von Neumann lattice representation, we found that broadening of extended state bands due to a Hall electric field occurs and causes the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Kenzo Ishikawa , Nobuki Maeda , Tetsuyuki Ochiai , Hisao Suzuki

Since the experimental realisation of the integer quantised Hall effect in a two dimensional electron system subject to strong perpendicular magnetic fields in 1980, a central question has been the interrelation between the conductance…

Mesoscale and Nanoscale Physics · Physics 2013-11-26 E. M. Kendirlik , S. Sirt , S. B. Kalkan , N. Ofek , V. Umansky , A. Siddiki

In a magnetic topological insulator, nontrivial band topology conspires with magnetic order to produce exotic states of matter that are best exemplified by quantum anomalous Hall (QAH) insulators and axion insulators. Up till now, such…

Materials Science · Physics 2020-03-18 Yujun Deng , Yijun Yu , Meng Zhu Shi , Jing Wang , Xian Hui Chen , Yuanbo Zhang

The Hall effect in InMnAs layers with MnAs inclusions of 20-50 nm in size is studied both theoretically and experimentally. We find that the anomalous Hall effect can be explained by the Lorentz force caused by the magnetic field of…

Mesoscale and Nanoscale Physics · Physics 2014-07-30 A. V. Kudrin , A. V. Shvetsov , Yu. A. Danilov , D. A. Pavlov , A. I. Bobrov , N. V. Malekhonova , A. A. Timopheev , N. A. Sobolev

We predict two topological phase transitions for cadmium arsenide (\ce{Cd3As2}) thin films under in-plane magnetic field, taking advantage of a four-band $k\cdot p$ model and effective $g$ factors calculated from first principles. Film…

Mesoscale and Nanoscale Physics · Physics 2025-12-30 Wangqian Miao , Binghao Guo , Susanne Stemmer , Xi Dai

The realization of the Quantum anomalous Hall effect (QAHE) in two dimensional (2D) metal organic frameworks (MOFs), (MC$_4$S$_4$)$_3$ with M = Mn, Fe, Co, Ru and Rh, has been investigated based on a combination of first-principles…

Materials Science · Physics 2018-09-18 F. Crasto de Lima , G. J. Ferreira , R. H. Miwa

We study the quantum Hall effect inside a gravitational field. First, we review the influence of the gravitational field of the Earth on the quantum Hall effect. Taking the gravitational field of the Earth to be uniform along the vertical…

General Relativity and Quantum Cosmology · Physics 2020-07-02 F. Hammad , A. Landry , K. Mathieu

The intrinsic mechanisms of the magneto-optical Kerr signal in chiral superconductors often involve multi-orbital degree of freedom. Here by considering a generic single-orbital and spinful Hamiltonian, we generalize the Onsager's relation…

Superconductivity · Physics 2026-04-21 Bin Geng , Yang Gao , Qian Niu

The quantum Hall effect in the three-dimensional anisotropic tight-binding electrons is investigated in the field-induced spin density wave phases with a magnetic field tilted to any direction. The Hall conductivity, $\sigma_{xy}$ and…

Condensed Matter · Physics 2009-10-22 Yasumasa Hasegawa

We have pointed out the possibility of quantum Hall effect or quantum patterns of transportation in a degenerate strongly magnetized quark matter, which might be expected inside a highly dense compact star. An anisotropic pattern of…

High Energy Physics - Phenomenology · Physics 2021-03-30 Jayanta Dey , Aritra Bandyopadhyay , Akash Gupta , Naman Pujari , Sabyasachi Ghosh

Quantum anomalous Hall (QAH) effect is a quantum Hall effect that occurs without the need of external magnetic field. A system composed of multiple parallel QAH layers is an effective high Chern number QAH insulator and the key to the…

We report on Landauer-B\"uttiker studies of anomalous Hall transport in a two-dimensional electron gas with Rashba spin-orbit coupling and a magnetization provided by localized magnetic moments. Our system is described by a discretized…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Maria Silvia Garelli , John Schliemann

Breaking the time-reversal symmetry of a topological insulator (TI) by ferromagnetism can induce exotic magnetoelectric phenomena such as quantized anomalous Hall (QAH) effect. Experimental observation of QAH effect in a magnetically doped…

We study the effect of disorder on the anomalous Hall effect (AHE) in two-dimensional ferromagnets. The topological nature of AHE leads to the integer quantum Hall effect from a metal, i.e., the quantization of $\sigma_{xy}$ induced by the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Masaru Onoda , Naoto Nagaosa

The quantum Hall effect is a remarkable manifestation of quantized transport in a two-dimensional electron gas. Given its technological relevance, it is important to understand its development in realistic nanoscale devices. In this work we…

Mesoscale and Nanoscale Physics · Physics 2013-01-08 I. J. Vera-Marun , P. J. Zomer , A. Veligura , M. H. D. Guimarães , L. Visser , N. Tombros , H. J. van Elferen , U. Zeitler , B. J. van Wees
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