Magneto-transport properties of a single molecular transistor in the presence of electron-electron and electron-phonon interactions and quantum dissipation

Abstract

A single molecular transistor is considered in the presence of electron-electron interaction, electron-phonon interaction, an external magnetic field and dissipation. The quantum transport properties of the system are investigated using the Anderson-Holstein Hamiltonian together with the Caldeira-Leggett model that takes care of the damping effect. The phonons are first removed from the theory by averaging the Hamiltonian with respect to a coherent phonon state and the resultant electronic Hamiltonian is finally solved with the help of the Green function technique due to Keldysh. The spectral function, spin-polarized current densities, differential conductance and spin polarization current are determined.

Quantum phases driven by strong correlations

“…One example is "phonon boosting". The interplay of the electron-electron Coulomb interaction and phonon-mediated electron interaction effects is captured by the Anderson-Holstein model 113 , which has been much explored in the context of single molecular transistors 114,115 . In Kondo systems, increasing the coupling of the conduction electrons with local optical phonons was shown to enhance the Kondo temperature by orders of magnitude, up to a point beyond which the charge Kondo effect is stabilized 116 .…”

Charge density wave breakdown in a heterostructure with electron-phonon coupling

“…[118]) or trying to capture more aspects of manganites (see, e.g., Ref. [19,119] and Ref. [120] for a theory review) by adding electron interaction or interaction with local spins.…”

Rashba effect on finite temperature magnetotransport in a dissipative quantum dot transistor with electronic and polaronic interactions

“…Next, we proceed to deal with the interaction of the QD phonon with the bath phonons. To eliminate the substrate phonons partially, we perform the following canonical transformation 32 , 33 , 47 : which incorporates the most important aspect of the effect of the bath phonons which is dissipation. reduces the QD phonon frequency which bringing in a frictional effect in the lattice mode of the QD.…”

“…It has been shown that dissipation renormalizes the QD phonon frequency and consequently the polaronic effect decreases leading to an increase in the tunneling current. Later, Kalla et al 33 have studied the transport properties of the same set-up in the presence of an external magnetic field. This work has useful applications for a spin-filtering device.…”