Scaling and universality in the anisotropic Kondo model and the dissipative two-state system

Abstract

Scaling and universality in the Ohmic two-state system is investigated by exploiting the equivalence of this model to the anisotropic Kondo model. For the Ohmic two-state system, we find universal scaling functions for the specific heat, $C_{\alpha }(T)$, static susceptibility, ${\chi }_{\alpha }(T)$, and spin relaxation function $S_{\alpha }(\omega )$ depending on the reduced temperature $T/{\Delta }_r$ (frequency $\omega /{\Delta }_r$), with ${\Delta }_r$ the renormalized tunneling frequency, and uniquely specified by the dissipation strength $\alpha$ ($0<\alpha <1$). The scaling functions can be used to extract $\alpha$ and ${\Delta }_r$ in experimental realizations.

5 pages (LaTeX), 4 EPS figures. Minor changes, typos corrected, journal reference added

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