Quantum criticality of the sub-ohmic spin-boson model

Details Quantum criticality of the sub-ohmic spin-boson model Quantum criticality of the sub-ohmic spin-boson model

2011-11-28

arxiv.org/abs/1111.6623v1

Phys. Rev. B 85, 075113 (2012)

Physics

Condensed Matter

Strongly Correlated Electrons

9 pages, 10 figures

Scientific paper

10.1103/PhysRevB.85.075113

We revisit the critical behavior of the sub-ohmic spin-boson model. Analysis of both the leading and subleading terms in the temperature dependence of the inverse static local spin susceptibility at the quantum critical point, calculated using a numerical renormalization-group method, provides evidence that the quantum critical point is interacting in cases where the quantum-to-classical mapping would predict mean-field behavior. The subleading term is shown to be consistent with an w/T scaling of the local dynamical susceptibility, as is the leading term. The frequency and temperature dependences of the local spin susceptibility in the strong-coupling (delocalized) regime are also presented. We attribute the violation of the quantum-to-classical mapping to a Berry-phase term in a continuum path-integral representation of the model. This effect connects the behavior discussed here with its counterparts in models with continuous spin symmetry.

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