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Article overview
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Continuous-time quantum Monte Carlo for fermion-boson lattice models: Improved bosonic estimators and application to the Holstein model | | Manuel Weber
; Fakher F. Assaad
; Martin Hohenadler
; | | Date: |
7 Sep 2016 | | Abstract: | We extend the continuous-time interaction-expansion quantum Monte Carlo
method with respect to measuring observables for fermion-boson lattice models.
Using generating functionals, we express expectation values involving boson
operators, which are not directly accessible because simulations are done in
terms of a purely fermionic action, as integrals over fermionic correlation
functions. We also demonstrate that certain observables can be inferred
directly from the vertex distribution, and present efficient estimators for the
total energy and the phonon propagator of the Holstein model. Furthermore, we
generalize the covariance estimator of the fidelity susceptibility to retarded
interactions. The new estimators are applied to half-filled spinless and
spinful Holstein models in one dimension. The observed renormalization of the
phonon mode across the Peierls transition in the spinless model suggests a
soft-mode transition in the adiabatic regime. The critical point is associated
with a minimum in the phonon kinetic energy and a maximum in the fidelity
susceptibility. | | Source: | arXiv, 1609.2026 | | Services: | Forum | Review | PDF | Favorites | |
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