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SKYRMION EXCITATIONS OF SPIN HALL EFFECT IN ATOMS

JI-BIAO WANG

Institute of Theoretical Physics, Lanzhou University, Lanzhou 730000, China

Corresponding author.

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and

JI-RONG REN

Institute of Theoretical Physics, Lanzhou University, Lanzhou 730000, China

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https://doi.org/10.1142/S0217984909020114Cited by:1 (Source: Crossref)

Abstract

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.

Keywords:

PACS: 73.43.Lp, 02.40.Pc

References

C. L. Chien and C. R. Westgate (eds.) , The Hall Effect and Its Applications ( Plenum , New York , 1980 ) . Google Scholar
R. S. Popovic , Hall Effect Devices , 2nd edn. ( Institute of Physics , Bristol, UK , 2004 ) . Google Scholar
B. Huckestein, Rev. Mod. Phys. 67, 357 (1995), DOI: 10.1103/RevModPhys.67.357. Web of Science, ADS, Google Scholar
H. L. Stormer, D. C. Tsui and A. C. Gossard, Rev. Mod. Phys. 71, s298 (1999), DOI: 10.1103/RevModPhys.71.S298. Web of Science, Google Scholar
W. L. Leeet al., Science 303, 1647 (2004), DOI: 10.1126/science.1094383. Web of Science, ADS, Google Scholar
J. N. Chazalviel, Phys. Rev. B 11, 3918 (1975), DOI: 10.1103/PhysRevB.11.3918. Web of Science, ADS, Google Scholar
S. L. Sondhiet al., Phys. Rev. B 47, 16419 (1993), DOI: 10.1103/PhysRevB.47.16419. Web of Science, ADS, Google Scholar
S. E. Barrettet al., Phys. Rev. Lett. 74, 5112 (1995), DOI: 10.1103/PhysRevLett.74.5112. Web of Science, ADS, Google Scholar
A. Schmelleret al., Phys. Rev. Lett. 75, 4290 (1995), DOI: 10.1103/PhysRevLett.75.4290. Web of Science, ADS, Google Scholar
E. Ardonne and K. Schoutens, Phys. Rev. Lett. 82, 5096 (1999), DOI: 10.1103/PhysRevLett.82.5096. Web of Science, ADS, Google Scholar
A. Sternet al., Phys. Rev. Lett. 86, 1829 (2001), DOI: 10.1103/PhysRevLett.86.1829. Web of Science, Google Scholar
X. J. Liuet al., Phys. Rev. Lett. 98, 026602 (2007), DOI: 10.1103/PhysRevLett.98.026602. Web of Science, Google Scholar
L. Allen , S. M. Barnett and M. J. Padgett , Optical Angular Momentum ( IOP , Bristol , 2003 ) . Google Scholar
E. M. Wright, J. Arlt and K. Dholakia, Phys. Rev. A 63, 013608 (2000), DOI: 10.1103/PhysRevA.63.013608. Web of Science, Google Scholar
B. DeMarco and D. S. Jin, Science 285, 1703 (1999), DOI: 10.1126/science.285.5434.1703. Web of Science, Google Scholar
J. Fuchs, G. J. Duffy, W. J. Rowlands and A. M. Akulshin , arXiv:physics/0604026 . Google Scholar
D. H. Lee and C. L. Kane, Phys. Rev. Lett. 64, 1313 (1990), DOI: 10.1103/PhysRevLett.64.1313. Web of Science, ADS, Google Scholar
X. G. Wen and A. Zee, Phys. Rev. Lett. 62, 1937 (1989), DOI: 10.1103/PhysRevLett.62.1937. Web of Science, Google Scholar
F. Wilczek and A. Zee, Phys. Rev. Lett. 51, 2250 (1983), DOI: 10.1103/PhysRevLett.51.2250. Web of Science, ADS, Google Scholar
T. T. Wu and C. N. Yang, Phys. Rev. D 12, 3845 (1975), DOI: 10.1103/PhysRevD.12.3845. Web of Science, ADS, Google Scholar
T. T. Wu and C. N. Yang, Phys. Rev. D 14, 437 (1975), DOI: 10.1103/PhysRevD.14.437. Web of Science, ADS, Google Scholar
Y. S. Duan, SLAC-PUB-3301 (1984) . Google Scholar
É. Goursat , A Course in Mathematical Analysis 1 ( Dover , New York , 1904 ) . Google Scholar
J. A. Schouten , Tensor Analysis for Physicists ( Clarendon Press , Oxford , 1951 ) . Google Scholar
Y. S. Duan, S. Li and G. H. Yang, Nucl. Phys. B 514, 705 (1998), DOI: 10.1016/S0550-3213(97)00777-3. Web of Science, ADS, Google Scholar
H. Hopf, Math. Ann. 96, 209 (1929), DOI: 10.1007/BF01209163. Google Scholar
Y. S. Duan, H. Zhang and S. Li, Phys. Rev. B 58, 125 (1998), DOI: 10.1103/PhysRevB.58.125. Web of Science, ADS, Google Scholar
Y. S. Duan and H. Zhang, Phys. Rev. E 60, 2568 (1999), DOI: 10.1103/PhysRevE.60.2568. Web of Science, ADS, Google Scholar