Finite temperature dynamics of the Anderson model

Abstract

The recently introduced local moment approach (LMA) is extended to encompass single-particle dynamics and transport properties of the Anderson impurity model at finite-temperature, T. While applicable to arbitrary interaction strengths, primary emphasis is given to the strongly correlated Kondo regime (characterized by the T=0 Kondo scale ${\omega }_{\mathrm{K}}$). In particular the resultant universal scaling behaviour of the single-particle spectrum $D(ω; T) \equiv F(\frac{\w}{ω_{\rm K}}; \frac{T}{ω_{\rm K}})$ within the LMA is obtained in closed form; leading to an analytical description of the thermal destruction of the Kondo resonance on all energy scales. Transport properties follow directly from a knowledge of $D(\omega ;T)$. The $T/{\omega }_{\mathrm{K}}$-dependence of the resulting resistivity $\rho (T)$, which is found to agree rather well with numerical renormalization group calculations, is shown to be asymptotically exact at high temperatures; to concur well with the Hamann approximation for the s-d model down to $T/{\omega }_{\mathrm{K}}\sim 1$, and to cross over smoothly to the Fermi liquid form $\rho (T)-\rho (0)\propto -(T/{\omega }_{\mathrm{K}}{)}^2$ in the low-temperature limit. The underlying approach, while naturally approximate, is moreover applicable to a broad range of quantum impurity and related models.

References in corpus (4)

• Renormalized perturbation calculations for the single impurity Anderson model
• Field-dependent dynamics of the Anderson impurity model
• On the scaling spectrum of the Anderson impurity model
• Magnetic properties of the Anderson model: a local moment approach

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• Fragility of the Kondo insulating gap against disorder: relevance to recent puzzles in topological Kondo insulators
• Emergence of non-Fermi liquid dynamics through non-local correlations in an interacting disordered system
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• Interaction effects in mixed-valent Kondo insulators
• Magnetoresistance in paramagnetic heavy fermion metals