The equation of motion for a spin vortex and geometric force
Open accessAbstract
The Hamiltonian equation of motion is studied for a vortex occurring in a two-dimensional Heisenberg ferromagnet of anisotropic type by starting with the effective action for the spin field formulated by the Bloch (or spin) coherent state. The resultant equation shows the existence of a geometric force that is analogous to the so-called Magnus force in superfluids. This specific force plays a significant role in the quantum dynamics of a single vortex, for example the determination of the bound state of the vortex trapped by a pinning force arising from the interaction of the vortex with an impurity.
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In the momentum representation, the spin-orbit interaction of light acquires the same form as the spin-orbit interaction of electrons stemming from the Dirac equation.
“In such representation, the spin-orbit interaction of light, Eq. (3.16), acquires the same form as the spin-orbit interaction of electrons stemming from the Dirac equation [29,32,54,81 -83].”
From Geometrodynamics of polarized light: Berry phase and spin Hall effect in a gradient-index medium (2009) · cites this paper as [54]
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Cites
Theory of the Motion of Vortices in Superconductors
Bardeen, J., & Stephen, M. J. (1965) · Physical Review · doi:10.1103/physrev.140.a1197 · Cited by 1,546 · see citing works
Superfluidity and Superconductivity
Tilley, D. R., Tilley, J., & Zimmermann, W. (1987) · American Journal of Physics · doi:10.1119/1.14980 · Cited by 592 · see citing works
The motion of flux lines in type II superconductors
Nozières, P., & Vinen, W. F. (1966) · Philosophical magazine · doi:10.1080/14786436608211964 · Cited by 411 · see citing works
Quantum Theory of Superfluid Vortices. I. Liquid Helium II
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Vortices in the classical two-dimensional anisotropic Heisenberg model
Gouv�a, M. E., Wysin, G. M., Bishop, A. R., et al. (1989) · Physical review. B, Condensed matter · doi:10.1103/physrevb.39.11840 · Cited by 120 · see citing works
Geometric Canonical Phase Factors and Path Integrals
Kuratsuji, H. (1988) · Physical Review Letters · doi:10.1103/physrevlett.61.1687 · Cited by 43 · see citing works
Self-citationOn the dynamics of quantum vortices
Creswick, R. J., & Morrison, H. L. (1980) · Physics Letters A · doi:10.1016/0375-9601(80)90488-0 · Cited by 39 · see citing works
Fractional Statistics of the Vortex in Two-Dimensional Superfluids
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Quantized vortices in two-dimensional superfluids and generalized Hamiltonian dynamics
Kuratsuji, H. (1992) · Physical Review Letters · doi:10.1103/physrevlett.68.1746 · Cited by 20 · see citing works
Self-citationA Path Integral Formalism of Collective Motion
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Self-citationGeneralized Hamiltonian dynamics for vortices in two-dimensional spin systems
Ono, H., & Kuratsuji, H. (1994) · Physics Letters A · doi:10.1016/0375-9601(94)90349-2 · Cited by 9 · see citing works
Self-citationVECTOR COHERENT STATES AND NON-ABELIAN GAUGE STRUCTURES IN QUANTUM MECHANICS
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Research works printed but not linked: 2
- Lamb H 1932 Hydrodynamics (Cambridge: Cambridge University Press)
- Inomata A, Kuratsuji H and Gerry C 1992 Path Integrals and Coherent States of SU(2) and SU(1,1) (Singapore: World Scientific)
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Geometrodynamics of polarized light: Berry phase and spin Hall effect in a gradient-index medium
Bliokh, K. Y. (2009) · Journal of Optics A: Pure and Applied Optics · doi:10.1088/1464-4258/11/9/094009 · Cited by 217 · see citing works
- Authors
- Kuratsuji, H., & Yabu, H.
- Affiliations
- Ritsumeikan University (JP)
- Tokyo Metropolitan University (JP)
- Venue
- Journal of Physics A: Mathematical and General
- Publisher
- IOP Publishing
- Published
- 1996-10-21
- Volume
- 29
- Issue
- 20
- Pages
- 6505-6513
- ISSN
- 0305-4470 (ISSN-L)
- 1361-6447
- OpenAlex
- W1996993682
- Cited by
- 11
- References
- 12
- Citations by year
- 2021: 1 · 2012: 1
- FWCI
- 0.91
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Journal of Physics A Mathematical and General (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Advanced Condensed Matter Physics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Magnetic properties of thin films
- Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Theoretical and Computational Physics
- Keywords
- Magnus force, Heisenberg ferromagnet, anisotropic ferromagnets, effective action, vortex dynamics, flux pinning, two-dimensional spin systems
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