The quantum phase transition in the sub-ohmic spin-boson model: Quantum Monte-Carlo study with a continuous imaginary time cluster algorithm
Statistical Mechanics
2010-04-22 v1 Strongly Correlated Electrons
Abstract
A continuous time cluster algorithm for two-level systems coupled to a dissipative bosonic bath is presented and applied to the sub-ohmic spin-Boson model. When the power s of the spectral function J(w) \propto w^s is smaller than 1/2, the critical exponents are found to be classical, mean-field like. Potential sources for the discrepancy with recent renormalization group predictions are traced back to the effect of a dangerously irrelevant variable.
Cite
@article{arxiv.0807.4716,
title = {The quantum phase transition in the sub-ohmic spin-boson model: Quantum Monte-Carlo study with a continuous imaginary time cluster algorithm},
author = {Andre Winter and Heiko Rieger and Matthias Vojta and Ralf Bulla},
journal= {arXiv preprint arXiv:0807.4716},
year = {2010}
}
Comments
4 pages, 4 figures