Dynamics of the Heisenberg model and a theorem on stability

DOI10.1063/1.4791703zbMath1284.82107OpenAlexW1984403582MaRDI QIDQ5396315

Leonidas Pantelidis

Publication date: 5 February 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4791703

zbMATH Keywords

Lyapunov stabilityHeisenberg modelferromagnetic state

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Statistical mechanics of magnetic materials (82D40)

Cites Work

• Dynamic and static excitations of a classical discrete anisotropic Heisenberg ferromagnetic spin chain
• Nonintegrability of \((2+1)\)-dimensional continuum isotropic Heisenberg spin system: Painlevé analysis
• Hidden symmetry breaking and the Haldane phase in \(S=1\) quantum spin chains
• Nonlinear dynamics of the radially symmetric and site dependent anisotropic Heisenberg spin chain
• Exact nonlinear spin waves in some models of interacting classical spins on a one-dimensional lattice
• Nonlinear dynamics of weak ferromagnetic spin chains
• New Approach to the Theory of Superexchange Interactions
• Ordering Energy Levels of Interacting Spin Systems
• Dynamics of the classical Heisenberg spin chain
• The dynamics of a generalized Heisenberg ferromagnetic spin chain
• Nonlinear spin waves for the Heisenberg model and the ferromagnetic–antiferromagnetic bifurcations
• On the integrability of the inhomogeneous spherically symmetric Heisenberg ferromagnet in arbitrary dimensions
• Qualitative Dynamics of Interacting Classical Spins
• ‘Off-shell’ nonlinear spin waves for the Heisenberg model

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