Slave boson theory for transport through magnetic molecules with vibronic states

TL;DR

This paper investigates electron transport in magnetic molecules with vibronic states using slave boson theory, revealing how electron-phonon interactions and spin states influence conductance in Kondo regimes.

Contribution

It extends the slave boson approach to include vibronic effects and analyzes multi-channel Kondo phenomena in magnetic molecules with different spins.

Findings

Electron-phonon coupling affects Kondo conductance.

For S=1, two active channels interfere destructively.

Zero conductance occurs at low temperatures due to channel interference.

Abstract

We study the electron transport through a magnetic molecular transistor in the Kondo limit using the slave boson technique. We include the electron-phonon coupling and analyze the cases where the spin of the molecule is either S=1/2 or S=1. We use the Schrieffer-Wolff transformation to write down a low energy Hamiltonian for the system. In the presence of electron-phonon coupling, and for $S\smeq1$, the resulting Kondo Hamiltonian has two active channels. At low temperature, these two channels interfere destructively, leading to a zero conductance.