scholarly journals Intrinsic Hall Effect in a Multiband Chiral Superconductor in the Absence of an External Magnetic Field

2012 ◽  
Vol 108 (15) ◽  
Author(s):  
Edward Taylor ◽  
Catherine Kallin
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Hall Effect

scholarly journals Landau quantisation of photonic spin Hall effect in monolayer black phosphorus

Nanophotonics ◽  
2019 ◽  
Vol 9 (1) ◽  
pp. 225-233 ◽  
Author(s):  
Guangyi Jia ◽  
Geng Li ◽  
Yan Zhou ◽  
Xianglong Miao ◽  
Xiaoying Zhou
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Hall Effect ◽  
Oscillation Period ◽  
Black Phosphorus ◽  
Spin Hall Effect ◽  
Transverse Spin ◽  
Strong Impact ◽  
Incident Wavelength ◽  
The Rich

AbstractThe photonic spin Hall effect (PSHE) is a promising candidate for controlling the spin states of photons and exploiting next-generation photonic devices based on spinoptics. Herein, the influences of a perpendicular magnetic field on the PSHE appearing on the surface of monolayer black phosphorus (BP) are investigated. Results reveal that both the in-plane and transverse spin-dependent shifts are quantised and show an oscillating pattern due to the splitting of Landau levels (LLs) induced by the external magnetic field B. And the oscillation period of spin Hall shifts gradually increases with strengthening B because of the increase of LL spacings. By contrast, for a fixed magnetic field, as the LL spacings become smaller and smaller with increasing the LL index, the oscillation period of spin Hall shifts gradually decreases as the photonic energy increases. Moreover, it is possibly due to the synergistic role of intrinsic anisotropy, high crystallinity, and quantisation-incurred localised decreases in beating-like complex conductivities of the BP film, giant spin Hall shifts, hundreds of times of the incident wavelength, are obtained in both transverse and in-plane directions. These unambiguously confirm the strong impact of the external magnetic field on the PSHE and shed important insights into understanding the rich magneto-optical transport properties in anisotropic two-dimensional atomic crystals.

scholarly journals A perturbation theory approach to the ground state exciton energy in the limit of a weak magnetic field in anomalous exciton Hall effect

2021 ◽  
Vol 2015 (1) ◽  
pp. 012135
Author(s):  
V A Shabashov ◽  
V K Kozin ◽  
A V Kavokin ◽  
I A Shelykh
Keyword(s):  
Magnetic Field ◽  
Perturbation Theory ◽  
Dipole Moment ◽  
External Magnetic Field ◽  
Hall Effect ◽  
Ground State ◽  
Weak Magnetic Field ◽  
State Energy ◽  
Theory Approach ◽  
Exciton Energy

Abstract The anomalous exciton Hall effect is a phenomenon that occurs in a quantum well in the presence of an external magnetic field applied perpendicular to the surface due to the interaction of the exciton dipole moment with an electric field, formed by the charged impurities. The effect was fully described in [1] for different magnetic field regimes. In this paper, we focus on the way the perturbation method was used for finding the ground state energy of an exciton in the limit of a weak magnetic field.

scholarly journals Topological Hall effect for electron scattering on nanoscale skyrmions in external magnetic field

2018 ◽  
Vol 98 (21) ◽  
Author(s):  
K. S. Denisov ◽  
I. V. Rozhansky ◽  
M. N. Potkina ◽  
I. S. Lobanov ◽  
E. Lähderanta ◽  
...  
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Hall Effect ◽  
Electron Scattering ◽  
Topological Hall Effect

scholarly journals THE QUANTUM HALL EFFECT IN GRAPHENE

2012 ◽  
Vol 26 (13) ◽  
pp. 1250084 ◽  
Author(s):  
PAOLO CEA
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Magnetic Fields ◽  
Numerical Simulations ◽  
Hall Effect ◽  
Quantum Hall Effect ◽  
Quantum Hall ◽  
Landau Levels ◽  
Dynamical Generation ◽  
Dirac Sea

We investigate the quantum Hall effect in graphene. We argue that in graphene in presence of an external magnetic field there is dynamical generation of mass by a rearrangement of the Dirac sea. We show that the mechanism breaks the lattice valley degeneracy only for the n = 0 Landau levels and leads to the new observed ν = ±1 quantum Hall plateaus. We suggest that our result can be tested by means of numerical simulations of planar Quantum Electro Dynamics with dynamical fermions in an external magnetic fields on the lattice.

scholarly journals The family of topological Hall effects for electrons in skyrmion crystals

2018 ◽  
Vol 91 (8) ◽  
Author(s):  
Börge Göbel ◽  
Alexander Mook ◽  
Jürgen Henk ◽  
Ingrid Mertig
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Hall Effect ◽  
Electron Spin ◽  
Anomalous Hall Effect ◽  
Transverse Spin ◽  
Edge States ◽  
Finite Sample ◽  
Magnetic Texture ◽  
Hall Effects

Abstract Hall effects of electrons can be produced by an external magnetic field, spin–orbit coupling or a topologically non-trivial spin texture. The topological Hall effect (THE) – caused by the latter – is commonly observed in magnetic skyrmion crystals. Here, we show analogies of the THE to the conventional Hall effect (HE), the anomalous Hall effect (AHE), and the spin Hall effect (SHE). In the limit of strong coupling between conduction electron spins and the local magnetic texture the THE can be described by means of a fictitious, “emergent” magnetic field. In this sense the THE can be mapped onto the HE caused by an external magnetic field. Due to complete alignment of electron spin and magnetic texture, the transverse charge conductivity is linked to a transverse spin conductivity. They are disconnected for weak coupling of electron spin and magnetic texture; the THE is then related to the AHE. The topological equivalent to the SHE can be found in antiferromagnetic skyrmion crystals. We substantiate our claims by calculations of the edge states for a finite sample. These states reveal in which situation the topological analogue to a quantized HE, quantized AHE, and quantized SHE can be found.

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