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We consider a coupled system of Dirac operators that models spin- and valley-polarized gated rhombohedral graphene (RHG) with an arbitrary number of layers. We classify all quantum anomalous Hall phases that are compatible with the model…

Mesoscale and Nanoscale Physics · Physics 2026-04-20 Matthew Frazier , Guillaume Bal

We present a unified theory of charge carrier transport in 2D Dirac systems with broken mirror inversion and time-reversal symmetries (e.g., as realized in ferromagnetic graphene). We find that the entanglement between spin and pseudospin…

Mesoscale and Nanoscale Physics · Physics 2018-09-21 Manuel Offidani , Aires Ferreira

Quantized Hall conductance is a generic feature of two dimensional electronic systems with broken time reversal symmetry. In the quantum anomalous Hall state recently discovered in magnetic topological insulators, time reversal symmetry is…

We demonstrate the existance of ferrimagnetic and ferromagnetic phases in a spin phase diagram of coupled lateral quantum dot molecules in the quantum Hall regime. The spin phase diagram is determined from Hartree-Fock Configuration…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Ramin M. Abolfath , Pawel Hawrylak

Anomalous nematic states, recently discovered in ultraclean two-dimensional electron gas, emerge from quantum Hall stripe phases upon further cooling. These states are hallmarked by a local minimum (maximum) in the hard (easy) longitudinal…

Mesoscale and Nanoscale Physics · Physics 2021-08-11 X. Fu , Q. Shi , M. A. Zudov , G. C. Gardner , J. D. Watson , M. J. Manfra , K. W. Baldwin , L. N. Pfeiffer , K. W. West

We proposed a theory of quantum anomalous Hall effect in a flat-band ferromagnet on a two-dimensional (2D) decorated lattice with spin-orbit coupling. Free electrons on the lattice have dispersionless flat bands, and the ground state is…

Mesoscale and Nanoscale Physics · Physics 2012-02-28 An Zhao , Shun-Qing Shen

In magnetic topological phases of matter, the quantum anomalous Hall (QAH) effect is an emergent phenomenon driven by ferromagnetic doping, magnetic proximity effects and strain engineering. The realization of QAH states with multiple…

Mesoscale and Nanoscale Physics · Physics 2019-10-23 R. Adhikari , V. V. Volobuev , B. Faina , G. Springholz , A. Bonanni

We investigate the emergence of both quantum anomalous Hall and disorder-induced Anderson Chern insulating phases in two dimensional hexagonal lattices, with antiferromagnetically ordered 3Q state and in the absence of spin-orbit coupling.…

Mesoscale and Nanoscale Physics · Physics 2019-11-06 Papa Bireme Ndiaye , Adel Abbout , Aurelien Manchon

The chiral anomaly is based on a non-conserved chiral charge and can happen in Dirac fermion systems under the influence of external electromagnetic fields. In this case, the spectral flow leads to a transfer of right- to left-moving…

Mesoscale and Nanoscale Physics · Physics 2017-01-04 Christoph Fleckenstein , Niccolò Traverso Ziani , Björn Trauzettel

We study Dirac fermions in the presence of a space-dependent chiral gauge field and thermodynamic gradients, establishing a connection to the inverse spin Hall effect. The chiral gauge field induces a chiral magnetic field, resulting in a…

Mesoscale and Nanoscale Physics · Physics 2024-10-10 Hung-Hsuan Teh , Tokiro Numasawa , Shun Okumura , Takashi Oka

Altermagnets represent a recently discovered class of collinear magnets, characterized by antiparallel neighboring magnetic moments and alternating-sign spin polarization in momentum-space($k$-space). However, experimental methods for…

Mesoscale and Nanoscale Physics · Physics 2025-01-27 Rui Chen , Zi-Ming Wang , Hai-Peng Sun , Bin Zhou , Dong-Hui Xu

We search for dynamical magnetoelectric phenomena in three-dimensional correlated systems with spin-orbit coupling. We focus on the antiferromagnetic insulator phases where the dynamical axion field is realized by the fluctuation of the…

Strongly Correlated Electrons · Physics 2016-03-02 Akihiko Sekine , Kentaro Nomura

We study the quantum anomalous Hall states in the $p$-orbital bands of the honeycomb optical lattices loaded with the single component fermions. Such an effect has not been realized in both condensed matter and cold atom systems yet. By…

Quantum Gases · Physics 2011-03-02 Machi Zhang , Hsiang-hsuan Hung , Chuanwei Zhang , Congjun Wu

The quantum anomalous Hall effect is a fundamental transport response of a topologically non-trivial system in zero magnetic field. Its physical origin relies on the intrinsically inverted electronic band structure and ferromagnetism, and…

Spin-orbit coupling in ferromagnets gives rise to the anomalous Hall effect and the anisotropic magnetoresistance, both of which can be used to create spin-transfer torques in a similar manner as the spin Hall effect. In this paper we show…

Materials Science · Physics 2014-11-19 Tomohiro Taniguchi , J. Grollier , M. D. Stiles

The plateau phase transition in quantum anomalous Hall (QAH) insulators corresponds to a quantum state wherein a single magnetic domain gives way to multiple magnetic domains and then re-converges back to a single magnetic domain. The layer…

Mesoscale and Nanoscale Physics · Physics 2026-04-28 Deyi Zhuo , Ling-Jie Zhou , Yi-Fan Zhao , Ruoxi Zhang , Zi-Jie Yan , Annie G. Wang , Moses H. W. Chan , Chao-Xing Liu , Chui-Zhen Chen , Cui-Zu Chang

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

The recently discovered material Co$_3$Sn$_2$S$_2$ shows an impressive behavior of the quantum anomalous Hall (QAH) conductivity driven by the interplay between ferromagnetism in the $z$ direction and antiferromagnetism in the $xy$ plane.…

Strongly Correlated Electrons · Physics 2020-05-27 Julian Legendre , Karyn Le Hur

The Berry phase due to the spin wavefunction gives rise to the orbital ferromagnetism and anomalous Hall effect in the non-coplanar antiferromagnetic ordered state on face centered cubic (fcc) lattice once the crystal is distorted…

Strongly Correlated Electrons · Physics 2009-11-07 Ryuichi Shindou , Naoto Nagaosa

We show that a weak hexagonal periodic potential could transform a two-dimensional electron gas with an even-denominator magnetic filling factor to a quantum anomalous Hall insulator of composite fermions, giving rise to fractionally…

Mesoscale and Nanoscale Physics · Physics 2015-06-18 Yinhan Zhang , Junren Shi