paper

Decay of Quasi-Particle in a Quantum Dot: the role of Energy Resolution

arXiv:cond-mat/9707102 · doi:10.1103/PhysRevLett.79.3994

Abstract

The disintegration of quasiparticle in a quantum dot due to the electron interaction is considered. It was predicted recently that above the energy $\eps^{*} = Δ(g/\ln g)^{1/2}$ each one particle peak in the spectrum is split into many components ( and are the one particle level spacing and conductance). We show that the observed value of $\eps^{*}$ should depend on the experimental resolution $δ\eps$. In the broad region of variation of $δ\eps$ the should be replaced by $\ln(Δ/ gδ\eps)$. We also give the arguments against the delocalization transition in the Fock space. Most likely the number of satellite peaks grows continuously with energy, being at $\eps \sim \eps^{*}$, but remains finite at $\eps > \eps^{*}$. The predicted logarithmic distribution of inter-peak spacings may be used for experimental confirmation of the below-Golden-Rule decay.

5 pages, REVTEX, 2 eps figures, version accepted for publication in Phys. Rev. Lett

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