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

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

1997-12-03

arxiv.org/abs/cond-mat/9712040v2

Phys. Rev. Lett. 80, 1038 (1998)

Physics

Condensed Matter

Strongly Correlated Electrons

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

Scientific paper

10.1103/PhysRevLett.80.1038

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.

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