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On the geometric equivalence of certain discrete integrable Heisenberg ferromagnetic spin chains (1999)

Daniel, M. ; Manivannan, K.

College Park, Md. : American Institute of Physics (AIP)

Journal of Mathematical Physics 40 (1999), S. 2560-2567

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ISSN: 1089-7658

Source: AIP Digital Archive

Topics: Mathematics , Physics

Notes: Using a discrete curve mapping procedure, we reformulate the problem of nonlinear spin dynamics in three different discrete Heisenberg ferromagnetic spin chain models with different magnetic interactions. The procedure helps to rewrite the Landau–Lifshitz equations that govern the dynamics of spins in these ferromagnetic spin systems as equivalent to the integrable discretization of the completely integrable nonlinear Schrödinger family of equations. The elementary spin excitations in these spin systems are governed by lattice solitons. © 1999 American Institute of Physics.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1063/1.532715

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