Berlin 2012 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 10: Correlated Electrons: (General) Theory 1

TT 10.6: Talk

Monday, March 26, 2012, 16:15–16:30, H 3010

Bosonization in arbitrary dimensions and its applications to Quantum Monte Carlo simulations — •Ervand Kandelaki and Konstantin Efetov — Theoretische Physik III, Ruhr-Universität-Bochum

The applicability of Quantum Monte Carlo simulations for fermionic models using the Auxiliary Field method is often limited if the measure is not strictly positive. We investigate to what extent the recently suggested bosonization scheme for fermionic systems in an arbitrary dimension allows for simulations with positive weights. Choosing a proper regularization of the dynamical equation for the bosonic field, we derive an expression for the action which is purely real. We relate the partition function obtained after bosonization to the common fermionic one and present some first numerical results.
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K. B. Efetov, C. Pépin, and H. Meier, Phys. Rev. Lett. 103, 186403 (2009)
K. B. Efetov, C. Pépin, and H. Meier, Phys. Rev. B 82, 235120 (2010)