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SUMMARY:Path Integral Approaches to Spin-Phonon Coupled Systems - Ilija Sr
 pak\, University of Cambridge and Max Planck Institute
DTSTART:20231108T143000Z
DTEND:20231108T150000Z
UID:TALK204670@talks.cam.ac.uk
CONTACT:Lisa Masters
DESCRIPTION:Heisenberg model is a common approach for treating the interac
 tion of spins on a lattice\, and Bonner and Fisher used it to investigate 
 the temperature dependence of the magnetic susceptibility and the converge
 nce to the thermodynamic limit on antiferromagnetic spin chains. Numerous 
 approaches like the Stochastic Series Expansion (SSE) using Quantum Monte 
 Carlo (QMC) have been developed to investigate the model further. However\
 , one of the assumptions the Heisenberg model makes is that the lattice is
  stationary and the couplings constant\, which would otherwise depend on t
 he positions of the coupled spins. Imaginary time path integrals can be us
 ed to include the nuclear motion and sample both the phase space and the s
 pin space simultaneously for any potential and coupling constant functiona
 l forms. Here\, several methods for treating the Heisenberg model includin
 g nuclear motion have been developed and tested\, with the main ones\, bas
 ed on the Exact Diagonalisation and Stochastic Series Expansion\, named Ri
 ng Polymer Exact Diagonalisation (RPED) and Ring Polymer Stochastic Series
  Expansion (RPSSE). Using these methods\, the effects of spin-phonon coupl
 ing on antiferromagnetic spin chains are investigated\, both classical and
  quantum in origin.
LOCATION:Unilever Lecture Theatre\, Yusuf Hamied Department of Chemistry
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