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Spin-Charge Separation and the Pauli Electron | | M. N. Chernodub
; Antti J. Niemi
; | | Date: |
21 Apr 2006 | | Abstract: | We study the separation between the spin and the charge in the quantum mechanical Pauli model of electrons. For this we employ an ensemble of electrons in a novel, topologically mixed quantum state. Curiously, we find that the spin-charge separation converts the Pauli Hamiltonian into the Hamiltonian of the non-Abelian Georgi-Glashow model, famous for its ability to support magnetic monopoles and to exhibit confinement. Furthermore, we conclude that the independent spin and charge fluctuations can both be described by the Faddeev model which suggests that there is a deep duality between the spin and the charge. The appearance of the Faddeev model also indicates that the fundamental carriers of both spin and charge are knotted solitons. We expect that our results have a wide impact in condensed matter physics from electronics to spintronics. In a much wider context, there may even be a need to develop a novel fundamental theory of Matter. | | Source: | arXiv, quant-ph/0604162 | | Services: | Forum | Review | PDF | Favorites | |
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