Journal
PHYSICAL REVIEW B
Volume 73, Issue 15, Pages -Publisher
AMERICAN PHYSICAL SOC
DOI: 10.1103/PhysRevB.73.155306
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Finite-bias electron transport through single molecules generally induces nonequilibrium molecular vibrations (phonons). By a mapping to a Fokker-Planck equation, we obtain analytical scaling forms for the nonequilibrium phonon distribution in the limit of weak electron-phonon coupling lambda within a minimal model. Remarkably, the width of the phonon distribution diverges as similar to lambda(-alpha) when the coupling decreases, with voltage-dependent, noninteger exponents alpha. This implies a breakdown of perturbation theory in the electron-phonon coupling for fully developed nonequilibrium. We also discuss possible experimental implications of this result, such as current-induced dissociation of molecules.
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