Numerical Renormalization Group for Bosonic Systems and Application to the Subohmic Spin-Boson Model

Details Numerical Renormalization Group for Bosonic Systems and Application to the Subohmic Spin-Boson Model Numerical Renormalization Group for Bosonic Systems and Application to the Subohmic Spin-Boson Model

2003-06-27

arxiv.org/abs/cond-mat/0306708v2

Phys. Rev. Lett. 91, 170601 (2003)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 5 figs, (v2) final version as published

Scientific paper

10.1103/PhysRevLett.91.170601

We describe the generalization of Wilson's Numerical Renormalization Group method to quantum impurity models with a bosonic bath, providing a general non-perturbative approach to bosonic impurity models which can access exponentially small energies and temperatures. As an application, we consider the spin-boson model, describing a two-level system coupled to a bosonic bath with power-law spectral density, J(omega) ~ omega^s. We find clear evidence for a line of continuous quantum phase transitions for subohmic bath exponents 0

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