Mechanical dissipation at a tip-induced Kondo onset

Abstract

The onset or demise of Kondo effect in a magnetic impurity on a metal surface can be triggered, as often observed, by the simple mechanical nudging of a tip. This mechanically-driven quantum phase transition must reflect in a corresponding mechanical dissipation peak; yet, this kind of effect has not been focused upon so far. Aiming at the simplest theoretical modeling, we initially treat the impurity as a non-interacting resonant level turned cyclically on and off, and obtain a dissipation per cycle which is proportional to the hybridization $\Gamma$, with a characteristic temperature dependent resonant peak value. A better treatment is obtained next by solving an Anderson impurity model by numerical renormalization group. Here, many body effects yield a dissipation whose peak value is now proportional to $T_K|\log T|$ so long as $T\sim T_K$, followed for $T\sim \Gamma$ by a second high temperature regime where dissipation is proportional to $\Gamma |\log T|$. The detectability of Kondo mechanical dissipation in atomic force microscopy is discussed.

Revised version

References in corpus (9)

• Mechanical Control of Spin States in Spin-1 Molecules and the Underscreened Kondo Effect
• Sum-rule Conserving Spectral Functions from the Numerical Renormalization Group
• Energy resolution and discretization artefacts in the numerical renormalization group
• Quantum Engineering of Spin and Anisotropy in Magnetic Molecular Junctions
• CDW slips and giant frictional dissipation peaks at the NbSe${}_2$ surface
• Metallic, Magnetic and Molecular Nanocontacts
• Full density matrix numerical renormalization group calculation of impurity susceptibility and specific heat of the Anderson impurity model
• Noncontact dissipation reveals critical central peak in SrTiO3
• Thermalization and dynamics in the single impurity Anderson model

Cited by in corpus (1)

• Kondo nanomechanical dissipation in the driven Anderson impurity model