Nanoscale Dynamical Mean-Field Theory for Molecules and Mesoscopic Devices in the Strong-Correlation Regime

Abstract

We develop a nanoscale dynamical mean-field theory (nano-DMFT) to deal with strong Coulomb interaction effects in physical systems that are intermediate in size between atoms and bulk materials, taking into account the tunneling into nearby electrodes. Focusing on a simplified treelike geometry, the usual DMFT loop simply stops when the finite lattice is fully covered, starting with an initial seed provided by the electronic environment at the boundary. To illustrate this nano-DMFT, we investigate the disappearance of the quasiparticle weight in a correlated nano object near the Mott transition. In contrast to thermally driven classical phase transitions, quantum effects lead to unexpected oscillations of the order parameter, related to the interference of coherent renormalized quasiparticles. This behavior also implies a spatially inhomogeneous Mott localization process at the nanoscale.

4 pages, 4 figures. New title, extended references and discussions in the last version

References in corpus (7)

• Mott transition and transport crossovers in the organic compound $\kappa -(BEDT-TTF{)}_{2}Cu[N(CN{)}_2]Cl$
• Cluster Dynamical Mean Field analysis of the Mott transition
• One-dimensional metallic behavior of the stripe phase in La${}_{2-x}$Sr${}_x$CuO${}_4$
• Correlation Induced Inhomogeneity in Circular Quantum Dots
• DMRG evaluation of the Kubo formula -- Conductance of strongly interacting quantum systems
• A brief review of recent advances on the Mott transition: unconventional transport, spectral weight transfers, and critical behaviour
• Localization effects and inelastic scattering in disordered heavy electrons

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