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

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  • 27 June 2003
Abstract
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 with a subohmic bath. We find clear evidence for a line of continuous quantum phase transitions for bath exponents 0<s<1; the line terminates in the well-known Kosterlitz-Thouless transition at s=1. Contact is made with results from perturbative renormalization group, and various other applications are outlined.

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