World-line and Determinantal Quantum Monte Carlo Methods for Spins, Phonons and Electrons

@inproceedings{Assaad2008WorldlineAD,
  title={World-line and Determinantal Quantum Monte Carlo Methods for Spins, Phonons and Electrons},
  author={Fakher F. Assaad and Hans Gerd Evertz},
  year={2008}
}
In this chapter we will concentrate primarily on world-line methods with loop updates, for spins and also for spin-phonon systems, as well as on the auxiliary field quantum Monte Carlo (QMC) method. Both approaches are based on a path integral formulation of the partition function which maps a d-dimensional quantum system onto a d+1 dimensional classical system. The additional dimension is nothing but the imaginary time. World-line based approaches for quantum spin systems offer a simple… Expand
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