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The fractional quantum Hall effect is a very particular manifestation of electronic correlations in two-dimensional systems in a strong perpendicular magnetic field. It arises as a consequence of a strong Coulomb repulsion between electrons…

Mesoscale and Nanoscale Physics · Physics 2022-07-08 Mark O. Goerbig

Spin-Hall conductivity $\sigma_{{\rm s}xy}$ and orbital susceptibility $\chi$ are investigated for the anisotropic Wolff Hamiltonian, which is an effective Hamiltonian common to Dirac electrons in solids. It is found that, both for…

Mesoscale and Nanoscale Physics · Physics 2014-07-08 Yuki Fuseya , Masao Ogata , Hidetoshi Fukuyama

A unified theory of the anomalous Hall effect (AHE) is presented for multi-band ferromagnetic metallic systems with dilute impurities. In the clean limit, the AHE is mostly due to the extrinsic skew-scattering. When the Fermi level is…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Shigeki Onoda , Naoyuki Sugimoto , Naoto Nagaosa

Driven by various physical origins, the interesting reentrant phenomena in quantum Hall effect (QHE), quantum anomalous Hall effect (QAHE) and non-Hermitian systems have been discussed recently. Here, we present that the reentrant phenomena…

Mesoscale and Nanoscale Physics · Physics 2023-06-16 Xiaoyu Cheng , Xiaohong Zheng , Jun Chen , Liantuan Xiao , Suotang Jia , Lei Zhang

The anomalous Hall effect (AHE) is a topology-related transport phenomenon being of potential interest in spintronics, because this effect enables the efficient probe of magnetic orders (i.e., data readout in memory devices). It is well…

Materials Science · Physics 2025-12-19 Longju Yu , Hong Jian Zhao , Yurong Yang , Laurent Bellaiche , Yanming Ma

We study the intrinsic spin Hall effect of a Dirac Hamiltonian system with ferromagnetic exchange coupling, a minimal model combining relativistic spin-orbit interaction and ferromagnetism. The energy bands of the Dirac Hamiltonian are…

Mesoscale and Nanoscale Physics · Physics 2023-08-16 Guanxiong Qu , Masamitsu Hayashi , Masao Ogata , Junji Fujimoto

We study the spin-dependent transmission through interfaces between a HgTe/CdTe quantum well (QW) and a metal - both for the normal metal and the superconducting case. Interestingly, we discover a new type of spin Hall effect at these…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 M. Guigou , P. Recher , J. Cayssol , B. Trauzettel

In this paper we propose the quantized spin Hall effect (SHE) in the vortex state of a rotating p-wave paired Fermi system in an inhomogeneous magnetic field and in a weak periodic potential. It is the three dimensional extension of the…

Superconductivity · Physics 2013-05-29 Jun Goryo , Mahito Kohmoto , Yong-Shi Wu

Noncollinear antiferromagnets (AFMs) have recently attracted a lot of attention owing to the potential emergence of exotic spin orders on geometrically frustrated lattices, which can be characterized by corresponding spin chiralities. By…

We analyse the interplay between Dresselhaus, Bychkov-Rashba, and Zeeman interactions in a two-dimensional semiconductor quantum system under the action of a magnetic field. When a vertical magnetic field is considered, we predict that the…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Manuel Valin-Rodriguez , Rashid G. Nazmitdinov

It is shown, that a spectrum generating algebras and wave functions for the integral and fractional quantum Hall effect are related by the non-unitary similarity transformation. This transformation corresponds to the introduction of the…

High Energy Physics - Theory · Physics 2007-05-23 M. Eliashvili

At low temperatures the phase diagram for the quantum Hall effect has a powerful symmetry arising from the Law of Corresponding States. This symmetry gives rise to an infinite order discrete group which is a generalisation of…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Brian P. Dolan

Coulomb interaction among electrons is found to have profound effects on the electronic properties of anisotropic quantum dots in a perpendicular external magnetic field, and in the presence of the Rashba spin-orbit interaction. This is…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 Siranush Avetisyan , Pekka Pietiläinen , Tapash Chakraborty

Quantum Hall ferromagnetic transitions are typically achieved by increasing the Zeeman energy through in-situ sample rotation, while transitions in systems with pseudo-spin indices can be induced by gate control. We report here a…

Mesoscale and Nanoscale Physics · Physics 2017-06-08 T. M. Lu , L. A. Tracy , D. Laroche , S. -H. Huang , Y. Chuang , Y. -H. Su , J. -Y. Li , C. W. Liu

We show that the anomalous Hall effect (AHE) at a magnetic interface with strong spin-orbit coupling can be tuned with an external electric field. By altering the strength of the inversion symmetry breaking, the electric field changes the…

Strongly Correlated Electrons · Physics 2018-12-24 Sayantika Bhowal , S. Satpathy

Although recent experiments and theories have shown a variety of exotic transport properties of non-equilibrium quasiparticles (QPs) in superconductor (SC)-based devices with either Zeeman or exchange spin-splitting, how QP interplays with…

Mesoscale and Nanoscale Physics · Physics 2020-11-30 Kun-Rok Jeon , Jae-Chun Jeon , Xilin Zhou , Andrea Migliorini , Jiho Yoon , Stuart S. P. Parkin

The quantum Hall effect is usually observed when the two-dimensional electron gas is subjected to an external magnetic field, so that their quantum states form Landau levels. In this work we predict that a new phenomenon, the quantum…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Chao-Xing Liu , Xiao-Liang Qi , Xi Dai , Zhong Fang , Shou-Cheng Zhang

We show that the sign of magnetic anisotropy energy in quantum Hall ferromagnets is determined by a competition between electrostatic and exchange energies. Easy-axis ferromagnets tend to occur when Landau levels whose states have similar…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 T. Jungwirth , S. P. Shukla , L. Smrcka , M. Shayegan , A. H. MacDonald

The spin and integer quantum Hall effects are two cousins of topological phase transitions in two-dimensional electronic systems. Their close relationship makes it possible to transform spin to integer quantum Hall effect in two-dimensional…

Mesoscale and Nanoscale Physics · Physics 2025-03-03 Maksim Parfenov , Igor Burmistrov

The quantum spin Hall effect shares many similarities (and some important differences) with the quantum Hall effect for the electric charge. As with the quantum (electric charge) Hall effect, there exists a correspondence between bulk and…

Mesoscale and Nanoscale Physics · Physics 2010-06-22 Shinsei Ryu , Christopher Mudry , Hideaki Obuse , Akira Furusaki