Effective Spin Models for Spin-Phonon Chains by Flow Equations

Details Effective Spin Models for Spin-Phonon Chains by Flow Equations Effective Spin Models for Spin-Phonon Chains by Flow Equations

2001-02-22

arxiv.org/abs/cond-mat/0102398v2

European Physical Journal B 21, 369-374 (2001)

Physics

Condensed Matter

Strongly Correlated Electrons

RevTeX, 6 pages, 4 eps figures; final version containing some clarifications

Scientific paper

We investigate the anti-adiabatic limit of an anti-ferromagnetic S=1/2 Heisenberg chain coupled to Einstein phonons. The flow equation method is used to decouple the spin and the phonon part of the Hamiltonian. In the effective spin model long range spin-spin interactions are generated. We determine the phase transition from a gapless state to a gapped (dimerised) phase, which occurs at a non-zero value of the spin-phonon coupling. In the effective phonon sector a phonon hardening is observed.

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