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The most celebrated property of the quantum spin Hall effect is the presence of spin-polarized counter-propagating edge states. This novel edge state configuration has also been predicted to occur in graphene when spin-split electron- and…

Mesoscale and Nanoscale Physics · Physics 2013-02-19 Patrick Maher , Cory R. Dean , Andrea F. Young , Takashi Taniguchi , Kenji Watanabe , Kenneth L. Shepard , James Hone , Philip Kim

The intrinsic spin and valley Hall conductivities of silicene, germanene and other similar two dimensional crystals are explored theoretically. Particular attention is given to the effects of the intrinsic spin-orbit coupling, electron…

Mesoscale and Nanoscale Physics · Physics 2013-06-25 Calvin J. Tabert , Elisabeth J. Nicol

The quantum anomalous Hall effect (QAHE) hosts the dissipationless chiral edge states associated with the nonzero Chern number, providing potentially significant applications in future spintronics. The QAHE usually occurs in a…

Strongly Correlated Electrons · Physics 2018-08-08 Y. J. Jin , R. Wang , B. W. Xia , B. B. Zheng , H. Xu

Studies of the 3D quantum Hall effect (QHE) have primarily emphasized transport features that mimic the well-established 2D QHE. In this work, we show that qualitatively new features arise when an in-plane magnetic field is applied to a 3D…

Mesoscale and Nanoscale Physics · Physics 2025-12-05 Ming Lu , Xiao-Xiao Zhang

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

The quantum geometry has significant consequences in determining transport and optical properties in quantum materials. Here, we use a semiclassical formalism coupled with perturbative corrections unifying the nonlinear anomalous Hall…

Mesoscale and Nanoscale Physics · Physics 2024-01-11 Daniel Kaplan , Tobias Holder , Binghai Yan

The spin Hall effect (SHE), which converts a charge current into a transverse spin current, has long been believed to be a phenomenon induced by the spin--orbit coupling. Here, we propose an alternative mechanism to realize the intrinsic…

Materials Science · Physics 2021-06-22 Yang Zhang , Jakub Zelezny , Yan Sun , Jeroen van den Brink , Binghai Yan

The effect of an inhomogeneous magnetic field which varies inversely as distance on the ground state energy level of graphene is studied. In this work, we analytically show that graphene under the influence of a magnetic field arising from…

Strongly Correlated Electrons · Physics 2011-07-05 M. R. Setare , D. Jahani

Electronic properties like current flow are generally independent of the electron's spin angular momentum, an internal degree of freedom present in quantum particles. The spin Hall effects (SHEs), first proposed 40 years ago, are an unusual…

We describe an intrinsic spin-Hall effect in $n$-type bulk zinc-blende semiconductors with topological origin. When electron transport is confined to a waveguide structure, and the applied electric field is such that the spins of electrons…

Mesoscale and Nanoscale Physics · Physics 2009-09-25 T. Fujita , M. B. A. Jalil , S. G. Tan

The quantum Hall effect (QHE), which was observed in 2D electron gas under an external magnetic field, stands out as one of the most remarkable transport phenomena in condensed matter. However, a long standing puzzle remains regarding the…

Mesoscale and Nanoscale Physics · Physics 2023-07-26 Humian Zhou , Chui-Zhen Chen , Qing-Feng Sun , X. C. Xie

Recent experiments reporting unexpectedly large spin Hall effect (SHE) in graphene decorated with adatoms have raised a fierce controversy. We apply numerically exact Kubo and Landauer- Buttiker formulas to realistic models of…

Mesoscale and Nanoscale Physics · Physics 2017-03-16 Dinh Van Tuan , J. M. Marmolejo-Tejada , Xavier Waintal , Branislav K. Nikolic , Stephan Roche

Theoretical studies of the fractional quantum Hall effect (FQHE) in graphene have so far focused on the plausibility and stability of the previously known FQHE states for the interaction matrix elements appropriate for graphene. We consider…

Mesoscale and Nanoscale Physics · Physics 2010-06-24 Csaba Toke , Jainendra K. Jain

The generation of pure spin current, spin angular momentum transport without charge flow, is crucial for developing energy-efficient spintronic devices with minimal Joule heating. Here, we introduce the intrinsic nonlinear pure spin Hall…

Mesoscale and Nanoscale Physics · Physics 2026-04-10 Sayan Sarkar , Sunit Das , Amit Agarwal

We report on an all-electrical measurement of the spin Hall effect in epitaxial Fe/In_{x}Ga_{1-x}As heterostructures with n-type channel doping (Si) and highly doped Schottky tunnel barriers. A transverse spin current generated by an…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 E. S. Garlid , Q. O. Hu , M. K. Chan , C. J. Palmstrom , P. A. Crowell

In this work, lateral displacements of transmitted and reflected spin waves at a 360 degree domain wall (360DW), which is referred to as the spin-wave Goos-H\"{a}nchen effect (SWGHE), are systematically investigated in magnetic…

Mesoscale and Nanoscale Physics · Physics 2024-10-21 Mei Li , Bin Xi , Yongjun Liu , Jie Lu

We present the framework of \textit{spin quantum geometry}, which is fundamentally linked to the spin degree of freedom of Bloch electrons and incorporates both the spin quantum geometric tensor (QGT) and the recently introduced Zeeman QGT,…

Materials Science · Physics 2025-08-06 Longjun Xiang , Hao Jin , Jian Wang

Electron edge states in graphene in the Quantum Hall effect regime can carry both charge and spin. We show that spin splitting of the zeroth Landau level gives rise to counterpropagating modes with opposite spin polarization. These chiral…

Mesoscale and Nanoscale Physics · Physics 2008-04-12 D. A. Abanin , P. A. Lee , L. S. Levitov

In layered samples which exhibit a bulk quantum Hall effect (QHE), a two-dimensional (2d) surface ``sheath" of gapless excitations is expected. These excitations comprise a novel 2d chiral quantum liquid which should dominate the low…

Condensed Matter · Physics 2009-10-28 Leon Balents , Matthew P. A. Fisher

We demonstrate the formation of orbital and spin Hall effects (OHE/SHE) in the 1T phase of non-magnetic transition metal dichalcogenides. With the aid of density functional theory calculations and model Hamiltonian studies on MX$_2$ (M =…

Mesoscale and Nanoscale Physics · Physics 2024-05-21 Pratik Sahu , Jatin Kumar Bidika , Bubunu Biswal , S. Satpathy , B. R. K. Nanda