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Spin-orbit coupling (SOC) is thought to be necessary in realizing quantum anomalous Hall (QAH) insulators in magnetic materials. In this Letter, we propose an exciton-condensation mechanism to realize QAH effect in collinear magnets with…

Mesoscale and Nanoscale Physics · Physics 2026-03-16 Xingxing Liu , ChaoYang Tan , Peng-Jie Guo , Zhong-Yi Lu , Zheng-Xin Liu

Hall conductance of noninteracting fermions filling a certain number of Landau levels can be written as a topological invariant. A particular version of this invariant when expressed in terms of the single particle Green's functions…

Strongly Correlated Electrons · Physics 2014-08-11 V. Gurarie

We construct an effective conformal field theory by using a procedure which induces twisted boundary conditions for the fundamental scalar fields. That allows to describe a quantum Hall fluid at Jain hierarchical filling, nu=m/(2pm+1), in…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 G. Cristofano , G. Maiella , V. Marotta

In this contribution, we start off from a fully relativistic description of a single electron non-minimally coupled to an external electromagnetic field. Making direct use of the field equation, instead of canonically deriving from the…

Mesoscale and Nanoscale Physics · Physics 2020-02-24 Rodrigo Turcati , Carlos Andres Bonilla Quintero , José Abdalla Helayël-Neto , Enrique Arias

We study the influence of an in-plane magnetic field and Coulomb interactions on the physics of quantum spin Hall insulators, like those in InAs/GaSb and HgTe/CdTe quantum wells. Using a Hartree-Fock mean-field theory approximation, we…

Mesoscale and Nanoscale Physics · Physics 2022-03-14 Yongxin Zeng , Fei Xue , Allan H. MacDonald

Following a previous work [Shen, Ma, Xie and Zhang, Phys. Rev. Lett. 92, 256603 (2004)] on the resonant spin Hall effect, we present detailed calculations of the spin Hall conductance in two-dimensional quantum wells in a strong…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Shun-Qing Shen , Yun-Juan Bao , Michael Ma , X. C. Xie , Fu Chun Zhang

A semiclassical formulation of the spin Hall effect for physical systems satisfying Dirac-like equation is introduced. We demonstrated that the main contribution to the spin Hall conductivity is given by the spin Chern number whether the…

Mathematical Physics · Physics 2016-06-14 Ömer F. Dayi , Elif Yunt

The Hall viscosity, a non-dissipative transport coefficient analogous to Hall conductivity, is considered for quantum fluids in gapped or topological phases. The relation to mean orbital spin per particle discovered in previous work by one…

Mesoscale and Nanoscale Physics · Physics 2014-07-25 N. Read , E. H. Rezayi

We consider the spin-orbit-induced spin Hall effect and spin swapping in diffusive superconductors. By employing the non-equilibrium Keldysh Green's function technique in the quasiclassical approximation, we derive coupled transport…

Mesoscale and Nanoscale Physics · Physics 2017-02-22 Camilla Espedal , Peter Lange , Severin Sadjina , A. G. Mal'shukov , Arne Brataas

Recently unusual integer quantum Hall effect was observed in graphene in which the Hall conductivity is quantized as $\sigma_{xy}=(\pm 2, \pm 6, \pm 10, >...) \times \frac{e^2}{h}$, where $e$ is the electron charge and $h$ is the Planck…

Disordered Systems and Neural Networks · Physics 2007-05-23 Yasumasa Hasegawa , Mahito Kohmoto

Quantum spin-Hall effect, a manifestation of topological properties that govern the behavior of surface states, was studied intensively in condensed matter physics resulting in the discovery of topological insulators. The quantum spin-Hall…

Optics · Physics 2021-12-14 Peng Shi , Luping Du , Congcong Li , Anatoly V. Zayats , Xiaocong Yuan

Spin Hall effect (SHE) in a 2D-Rashba system has been treated in the spin-dependent precession [J. Sinova et al., Phys. Rev. Letts. 92, 126603 (2004).] and the time-space gauge [T. Fujita et al., New J. Phys. 12, 013016 (2010).] approaches,…

Mesoscale and Nanoscale Physics · Physics 2013-04-04 Seng Ghee Tan , Mansoor B. A. Jalil

We investigate the spin Hall effect in a single-layer graphene device with disorder and interface-induced spin-orbit coupling. Our graphene device is connected to four semi-infinite leads that are embedded in a {Landauer-B\"uttiker} setup…

Mesoscale and Nanoscale Physics · Physics 2022-11-11 Juliana M. da Silva , Fernando A. F. Santana , Jorge G. G. S. Ramos , Anderson L. R. Barbosa

The integer quantum Hall effect is analysed using a transport mechanism with a semi-classic wave packages of electrons in this paper. A strong magnetic field perpendicular to a slab separates the electron current into two branches with…

General Physics · Physics 2016-09-21 W. LiMing , Tan Hui

We investigate the intrinsic spin Hall effect in two-dimensional electron gases in quantum wells with two subbands, where a new intersubband-induced spin-orbit coupling is operative. The bulk spin Hall conductivity $\sigma^z_{xy}$ is…

Mesoscale and Nanoscale Physics · Physics 2009-10-15 Minchul Lee , Marco O. Hachiya , E. Bernardes , J. Carlos Egues , Daniel Loss

We clarify the origin of what is sometimes called the "topological anomalous Hall effect," provide analytical formulas to compute all the contributions to the Hall conductivity in the presence of Kondo-coupled spins and spin orbit coupling.…

Strongly Correlated Electrons · Physics 2026-04-01 Lucile Savary

An asymmetric triangular potential well provides the simplest model for the confinement of mobile electrons at the interface between two insulating oxides, such as LaAlO_3 and SrTiO_3 (LAO/STO). These electrons have been recently shown to…

Mesoscale and Nanoscale Physics · Physics 2013-06-13 Lorien H. Hayden , R. Raimondi , M. E. Flatte' , G. Vignale

An effective theory is constructed for analyzing a generic phase transition between the quantum spin Hall and the insulator phases. Occurrence of degeneracies due to closing of the gap at the transition are carefully elucidated. For systems…

Mesoscale and Nanoscale Physics · Physics 2008-11-26 Shuichi Murakami , Satoshi Iso , Yshai Avishai , Masaru Onoda , Naoto Nagaosa

We study the symmetries of non-relativistic systems with an emphasis on applications to the fractional quantum Hall effect. A source for the energy current of a Galilean system is introduced and the non-relativistic diffeomorphism…

Mesoscale and Nanoscale Physics · Physics 2015-03-05 Michael Geracie , Dam Thanh Son , Chaolun Wu , Shao-Feng Wu

We examine a possible spin Hall effect for localized spin systems with no charge degrees of freedom. In this scenario, a longitudinal magnetic field gradient induces a transverse spin current carried by spin wave excitations with an…

Strongly Correlated Electrons · Physics 2009-07-03 Satoshi Fujimoto