Detection of topological transitions by transport through molecules and nanodevices

Abstract

We analyze the phase transitions of an interacting electronic system weakly coupled to free-electron leads by considering its zero-bias conductance. This is expressed in terms of two effective impurity models for the cases with and without spin degeneracy. We demonstrate using the half-filled ionic Hubbard ring that the weight of the first conductance peak as a function of external flux or of the difference in gate voltages between even and odd sites allows one to identify the topological charge transition between a correlated insulator and a band insulator.

arXiv comment4 pages, 5 figures, to appear in Phys. Rev. Lett

References in corpus (9)

• Driving current through single organic molecules
• Electron Localization in the Insulating State
• From band insulator to Mott insulator in one dimension
• Anti-Kondo resonance in transport through a quantum wire with a side-coupled quantum dot
• Nature of the insulating phases in the half-filled ionic Hubbard model
• Phase diagram of the Hubbard chain with two atoms per cell
• Exact Bond Ordered Ground State for the Transition Between the Band and the Mott Insulator
• Kondo and anti-Kondo resonances in transport through nanoscale devices
• Charge dynamics in the Mott insulating phase of the ionic Hubbard model

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• Interference Effects in the Conductance of Multi-Level Quantum Dots
• Quantum phase diagram of the generalized ionic Hubbard model for AB${}_n$ chains
• Conductance through an array of quantum dots
• Spectral density of an interacting dot coupled indirectly to conducting leads
• The dimerized phase of ionic Hubbard models
• Interplay between quantum interference and Kondo effects in nonequilibrium transport through nanoscopic systems
• Nonequilibrium conductance through a benzene molecule in the Kondo regime
• Features of spin-charge separation in the equilibrium conductance through finite rings
• Band-Insulator-Metal-Mott-Insulator transition in the half--filled $t-t^{\prime }$ ionic-Hubbard chain
• Topological quantum phase transition between Fermi liquid phases in an Anderson impurity model
• Finite-temperature phase transitions in the ionic Hubbard model
• Phase diagram of a model for topological superconducting wires
• Spin-charge separation in strongly interacting finite ladder rings
• Spin selective transport through Aharonov-Bohm and Aharonov-Casher triple quantum dot systems
• Electron-Electron interactions, topological phase and optical properties of a charged artificial benzene ring
• Kondo effect in transport through Aharonov-Bohm and Aharonov-Casher interferometers
• Conductance through strongly interacting rings in a magnetic field
• Microscopic Model for a Strongly Correlated Superconducting Single-Electron-Transistor