Lattice dynamics of the Heisenberg chain coupled to finite frequency bond phonons

dc.creatorMichel, Franz
dc.creatorEvertz, Hans-Gerd
dc.date2007-05-07
dc.date2007-05-07
dc.date.accessioned2026-07-07T07:59:43Z
dc.date.available2026-07-07T07:59:43Z
dc.descriptionThe phonon dynamics in a one dimensional Heisenberg spin chain coupled to finite-frequency bond phonons is studied. We present the first detailed phonon spectra for these systems using Quantum Monte Carlo. The quantum phase transition is dominated by a central peak, yet the renormalisation of the main phonon branch depends strongly on the bare phonon frequency omega_0. The main branch remains largely unaffected at omega_0 \gsim J, but it softens completely when omega_0 is low enough. This is an unusual scenario for a structural phase transition and was observable only on sufficiently large systems. Approaching the dimerized phase from finite temperature, the lattice dynamics mirrors the behavior of a three dimensional system. For the efficient measurement of Greens functions, we introduce a mapping from the stochastic series expansion to continuous imaginary time.
dc.description5 pages, 6 figures
dc.identifierhttps://arxiv.org/abs/0705.0799
dc.identifierhttp://arxiv.org/abs/0705.0799
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/128473
dc.subjectStrongly Correlated Electrons
dc.titleLattice dynamics of the Heisenberg chain coupled to finite frequency bond phonons
dc.typetext

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