SKYRMION EXCITATIONS OF SPIN HALL EFFECT IN ATOMS

2009 ◽  
Vol 23 (16) ◽  
pp. 1975-1982 ◽  
Author(s):  
JI-BIAO WANG ◽  
JI-RONG REN
Keyword(s):  
Hall Effect ◽  
Bifurcation Point ◽  
Bifurcation Theory ◽  
Atomic System ◽  
Current Theory ◽  
Spin Hall Effect ◽  
Gauge Potential ◽  
Optical Fields ◽  
Topological Current ◽  
Mapping Theory

By making use of ϕ-mapping topological current theory and the decomposition of gauge potential theory, we investigate the skyrmion excitations of spin Hall effect induced by optical fields in neutral atomic system. It is shown that the topological structures of these skyrmions are characterized by ϕ-mapping topological numbers: Hopf indices and Brouwer degrees. Based on the bifurcation theory of ϕ-mapping theory, it is found that the skyrmions can be generated or annihilated at the limit point and they encounter, split or merge at the bifurcation point.

Skyrmion Excitations in Graphene

2014 ◽  
Vol 887-888 ◽  
pp. 960-965 ◽  
Author(s):  
Bu Da Zhao ◽  
Ming Xiang
Keyword(s):  
Potential Theory ◽  
Limit Point ◽  
Bifurcation Theory ◽  
Current Theory ◽  
Gauge Potential ◽  
Topological Current ◽  
Mapping Theory

By making use of theφ-mapping topological current theory and the decomposition of gauge potential theory, we investigate the skyrmion excitations of (2+1)-dimensional graphene. It is shown that the topological numbers are Hopf indices and Brower degrees. Based on the bifurcation theory of theφ-mapping theory, it is founded that the skyrmions can be generated or annihilated at the limit point (the generation and annihilation of skyrmion-antiskyrmion pairs).

Spin-Hall effect of light and its enhancement in multilevel atomic system

2019 ◽  
Vol 45 (1) ◽  
pp. 149 ◽  
Author(s):  
Jinze Wu ◽  
Junxiang Zhang ◽  
Shiyao Zhu ◽  
Girish S. Agarwal
Keyword(s):  
Hall Effect ◽  
Atomic System ◽  
Spin Hall Effect ◽  
Effect Of Light

TOPOLOGICAL OBJECTS IN THE O(3) NONLINEAR SIGMA MODEL

2007 ◽  
Vol 22 (31) ◽  
pp. 2379-2386
Author(s):  
PENG-MING ZHANG ◽  
XI-GUO LEE ◽  
SHAO-FENG WU ◽  
YI-SHI DUAN
Keyword(s):  
Sigma Model ◽  
Topological Defects ◽  
Current Theory ◽  
Gauge Potential ◽  
Nonlinear Sigma Model ◽  
Dimensional Model ◽  
Vortex Lines ◽  
Dimensional Spacetime ◽  
Topological Current ◽  
Topological Charges

We study the topological defects in the nonlinear O(3) sigma model in terms of the decomposition of U(1) gauge potential. Time-dependent baby skyrmions are discussed in the (2+1)-dimensional spacetime with the CP1 field. Furthermore, we show that there are three kinds of topological defects–vortex lines, point defects and knot exist in the (3+1)-dimensional model, and their topological charges, locations and motions are determined by the ϕ-mapping topological current theory.

scholarly journals A NEW DESCRIPTION OF COSMIC STRINGS IN BRANE WORLD SCENARIO

2008 ◽  
Vol 23 (24) ◽  
pp. 2023-2030
Author(s):  
YI-SHI DUAN ◽  
LI-DA ZHANG ◽  
YU-XIAO LIU
Keyword(s):  
Magnetic Flux ◽  
Cosmic String ◽  
Cosmic Strings ◽  
Current Theory ◽  
Brane World ◽  
Higgs Model ◽  
Gauge Potential ◽  
Topological Description ◽  
Topological Current ◽  
Effective Description

In the light of ϕ-mapping topological current theory, the structure of cosmic strings are obtained from the Abelian Higgs model, which is an effective description to the brane world cosmic string system. In this topological description of the cosmic string, combining the result of decomposition of U(1) gauge potential, we analytically reach the familiar conclusions that in the brane world scenario the magnetic flux of the cosmic string is quantized and the RR charge of it is screened.

scholarly journals Gauge potential formulations of the spin Hall effect in graphene

2011 ◽  
Vol 375 (25) ◽  
pp. 2484-2491 ◽  
Author(s):  
Ömer F. Dayi ◽  
Elif Yunt
Keyword(s):  
Hall Effect ◽  
Spin Hall Effect ◽  
Gauge Potential

scholarly journals NOVEL TOPOLOGICAL INVARIANT IN THE U(1) GAUGE FIELD THEORY

2007 ◽  
Vol 22 (29) ◽  
pp. 2201-2208 ◽  
Author(s):  
YISHI DUAN ◽  
XINHUI ZHANG ◽  
LI ZHAO
Keyword(s):  
Field Theory ◽  
Gauge Field ◽  
Potential Theory ◽  
Three Dimensional ◽  
Current Theory ◽  
Topological Invariant ◽  
Gauge Potential ◽  
Gauge Field Theory ◽  
Knot Invariant ◽  
Topological Current

Based on the decomposition of U(1) gauge potential theory and the ϕ-mapping topological current theory, the three-dimensional knot invariant and a four-dimensional new topological invariant are discussed in the U(1) gauge field.

DECOMPOSITION OF SU(2) CONNECTION AND KNOT STRUCTURE IN SKYRME–FADDEEV MODEL

2008 ◽  
Vol 23 (09) ◽  
pp. 1447-1456
Author(s):  
JI-RONG REN ◽  
RAN LI ◽  
YI-SHI DUAN
Keyword(s):  
Current Theory ◽  
Topological Invariant ◽  
Gauge Potential ◽  
Gauge Invariant ◽  
Hopf Invariant ◽  
Linking Numbers ◽  
Vector Decomposition ◽  
Topological Current ◽  
Faddeev Model ◽  
Invariant Principle

In this paper, spinor and vector decomposition of SU(2) gauge potential are presented and their equivalence is constructed using a simple proposal. We also obtain the action of Skyrme–Faddeev model from the SU(2) massive gauge field theory which is proposed according to the gauge invariant principle. Then, the knot structure in Skyrme–Faddeev model is discussed in terms of the so-called ϕ-mapping topological current theory. The topological charge of the knot is characterized by the Hopf indices and the Brouwer degrees of ϕ-mapping, naturally. At last, we briefly discussed the topological invariant–Hopf invariant which describes the topology of these knots. It is shown that Hopf invariant is the total number of all the linking numbers and self-linking numbers of these knots.

scholarly journals Erratum: Giant photonic spin Hall effect near the Dirac points [Phys. Rev. A 101 , 023826 (2020)]

2020 ◽  
Vol 101 (6) ◽  
Author(s):  
Wenhao Xu ◽  
Qiang Yang ◽  
Guangzhou Ye ◽  
Weijie Wu ◽  
Wenshuai Zhang ◽  
...  
Keyword(s):  
Hall Effect ◽  
Spin Hall Effect

scholarly journals Spin Hall effect generated by fluctuating vortices in type-II superconductors

2021 ◽  
Vol 103 (13) ◽  
Author(s):  
Takuya Taira ◽  
Yusuke Kato ◽  
Masanori Ichioka ◽  
Hiroto Adachi
Keyword(s):  
Hall Effect ◽  
Spin Hall Effect ◽  
Type Ii ◽  
Type Ii Superconductors

scholarly journals Tunable multichannel Photonic spin Hall effect in metal-dielectric-metal waveguide

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Li-Ming Zhao ◽  
Yun-Song Zhou
Keyword(s):  
Hall Effect ◽  
Polar Angle ◽  
Spin Hall Effect ◽  
Dipole Source ◽  
Interference Theory ◽  
Wave Interference ◽  
Metal Waveguide ◽  
Component Wave ◽  
Plasmon Polaritons ◽  
Important Progress

AbstractThe discovery of Photonic spin Hall effect (PSHE) on surface plasmon polaritons (SPPs) is an important progress in photonics. In this paper, a method of realizing multi-channel PSHE in two-dimensional metal-air-metal waveguide is proposed. By modulating the phase difference $$\phi$$ ϕ and polar angle $$\theta$$ θ of the dipole source, the SPP can propagate along a specific channel. We further prove that PSHE results from the component wave interference theory. We believe that our findings will rich the application of SPPs in optical devices.

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