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RESEARCH PRODUCT
Effective kink-kink interaction in a one-dimensional model mediated by phonon exchange
V. G. RostiashviliRolf Schillingsubject
PhysicsRKKY interactionCondensed matter physicsPhononAnharmonicityGeneral Physics and AstronomyDimensional modelingCondensed Matter::Mesoscopic Systems and Quantum Hall Effectsymbols.namesakeGeneral theorysymbolsCondensed Matter::Strongly Correlated ElectronsBorn approximationHamiltonian (quantum mechanics)Nonlinear Sciences::Pattern Formation and Solitonsdescription
The general 1D double-well model with anharmonic interaction is considered in the displacive limit. Expansion of the Hamiltonian around a multikink state results in a phonon-kink Hamiltonian. It is shown that at rather low temperatures and short wave lengths the phonon-kink interaction can be treated in Born approximation, leading to a decomposition of the multikink-phonon Hamiltionian. Elimination of the phonons results in an effective potential for the kink-kink interaction, which corresponds to the one-dimensional analog of the RKKY interaction. This long-range interaction is inherent only for models with anharmonic on-site potentials and not in case of a double-parabola model.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1994-04-04 | Physical Review Letters |