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While the anomalous Hall effect can manifest even without an external magnetic field, time reversal symmetry is nonetheless still broken by the internal magnetization of the sample. Recently, it has been shown that certain materials without…

The canonical commutation relations in quantum mechanics are not maintained in the anomalous Hall effect described by Berry's phase in the presence of the electromagnetic vector potential. To define quantum mechanical formulation, one may…

Strongly Correlated Electrons · Physics 2023-10-04 Kazuo Fujikawa , Koichiro Umetsu

Quantized anomalous Hall effects (QAHEs) occur in remarkable electronic states which possess not only quantized Hall signals but in some cases regions of dissipationless electron transport. The initial demonstrations of a QAHE in a…

We report measurements of the interaction-induced quantum Hall effect in a spin-polarized AlAs two-dimensional electron system where the electrons occupy two in-plane conduction band valleys. Via the application of in-plane strain, we tune…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Y. P. Shkolnikov , S. Misra , N. C. Bishop , E. P. De Poortere , M. Shayegan

Understanding topological phases of matter is essential for advancing both the fundamental theory and practical applications of condensed matter physics. Recently, a theoretical framework for a quantum Hall system with an expanding edge…

Mesoscale and Nanoscale Physics · Physics 2025-06-26 Yuuki Sugiyama , Tokiro Numasawa

We report the occurrence of ferromagnetic-like anomalous Hall effect (AHE) below $30$ mT in bismuth single and policrystals. The signatures of ferromagnetism in transport are not corroborated in magnetization measurements, thus suggesting…

Strongly Correlated Electrons · Physics 2021-03-03 Bruno Camargo , Piort Gierlowski , Andrei Alaferdov , Iraida Demchenko , Maciej Sawicki , Katarzyna Gas , Yakov Kopelevich

Measurement techniques based upon the Hall effect are invaluable tools in condensed matter physics. When an electric current flows perpendicular to a magnetic field, a Hall voltage develops in the direction transverse to both the current…

Anomalous Hall effect (AHE) of a ferromagnetic semiconductor anatase \cotio thin film is studied from 10K to 300K. Magnetic field dependence of anomalous Hall resistance is coincident with that of magnetization, while the anomalous Hall…

Materials Science · Physics 2009-11-13 Kazunori Ueno , Tomoteru Fukumura , Hidemi Toyosaki , Masaki Nakano , Masashi Kawasaki

We study theoretically the properties of two Bose-Einstein condensates in different spin states, represented by a double Fock state. Individual measurements of the spins of the particles are performed in transverse directions, giving access…

Quantum Physics · Physics 2009-11-13 Franck Laloë , William J. Mullin

We consider the geometric part of the effective action for Fractional Quantum Hall Effect (FQHE). It is shown that accounting for the framing anomaly of the quantum Chern-Simons theory is essential to the obtain correct gravitational linear…

Strongly Correlated Electrons · Physics 2015-03-26 Andrey Gromov , Gil Young Cho , Yizhi You , Alexander G. Abanov , Eduardo Fradkin

We report the growth, structural characterization, and transport properties of the quantum anomalous Hall insulator Vy(BixSb1-x)2-yTe3 (VBST) grown on a GaAs buffer layer by molecular beam epitaxy on a GaAs(111)A substrate. X-ray…

Materials Science · Physics 2024-09-09 Yusuke Nakazawa , Takafumi Akiho , Kiyoshi Kanisawa , Hiroshi Irie , Norio Kumada , Koji Muraki

The quantum Hall effect, which exhibits a number of unusual properties, is studied in a gated 1000-nm-thick HgTe film, nominally a three-dimensional system. A weak zero plateau of Hall resistance, accompanied by a relatively small value of…

Mesoscale and Nanoscale Physics · Physics 2024-09-17 M. L. Savchenko , D. A. Kozlov , S. S. Krishtopenko , N. N. Mikhailov , Z. D. Kvon , A. Pimenov , D. Weiss

Covariant generalizations of well-known wave equations predict the existence of inertial-gravitational effects for a variety of quantum systems that range from Bose-Einstein condensates to particles in accelerators. Additional effects arise…

General Relativity and Quantum Cosmology · Physics 2007-05-23 G. Papini

The recent developments in the theory of rapidly rotating Bose atoms have been reviewed in this article. Rotation leads to the development of quantized-vortices, that cluster into a vortex array, exactly to how superfluid helium behaves.…

Quantum Gases · Physics 2023-12-20 Moumita Indra , Sandip Mondal

Dynamics of fluctuations in unstable Bose-Einstein condensates is analyzed by the solution of approximate operator equations. In the case of a condensate with a negative scattering length the present treatment describes a delay of collapse,…

Condensed Matter · Physics 2009-11-07 V. A. Yurovsky

We consider the quantum Hall effect in quantum electrodynamics and find a deviation from the quantum mechanical prediction for the Hall conductivity due to radiative antiscreening of electric charge in an external magnetic field. A weak…

High Energy Physics - Phenomenology · Physics 2010-01-22 Alexander A. Penin

We study theoretically the magnetic field effect on a neutral, but polarizable exciton confined in quantum-ring structures. For excitons with a nonzero dipole moment, a novel magnetic interference effect occurs: The ground state of an…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 A. O. Govorov , A. V. Kalameitsev , R. Warburton , K. Karrai , S. E. Ulloa

In the quantum anomalous Hall effect, quantized Hall resistance and vanishing longitudinal resistivity are predicted to result from the presence of dissipationless, chiral edge states and an insulating 2D bulk, without requiring an external…

Mesoscale and Nanoscale Physics · Physics 2018-09-12 E. J. Fox , I. T. Rosen , Yanfei Yang , George R. Jones , Randolph E. Elmquist , Xufeng Kou , Lei Pan , Kang L. Wang , D. Goldhaber-Gordon

The anomalous Hall effect (AHE) around the flux state in square Kondo lattice is investigated. By introducing the lattice distortion and local chirality, the square Kondo lattice can break the parity symmetry and time reversal symmetry…

Strongly Correlated Electrons · Physics 2010-02-25 Xiao Chen , Shuai Dong , J. -M. Liu

Quantum anomalous Hall effect (QAHE) has been experimentally realized in magnetic topological insulator (MTI) thin films fabricated on magnetically doped (Bi,Sb)2Te3. In a MTI thin film with the magnetic easy axis along the normal direction…

Mesoscale and Nanoscale Physics · Physics 2018-05-09 Xing Yanxia , Cheung King Tai , Xu Fuming , Sun Qing-feng , Wang Jian , Yao Yugui