Transport of Correlated Electrons through Disordered Chains: A Perspective on Entanglement, Conductance, and Disorder Averaging

Abstract

We investigate electron transport in disordered Hubbard chains contacted to macroscopic leads, via the non-equilibrium Green's functions technique. We observe a cross-over of currents and conductances at finite bias which depends on the relative strength of disorder and interactions. The finite-size scaling of the conductance is highly dependent on the interaction strength, and exponential attenuation is not always seen. We provide a proof that the Coherent Potential Approximation, a widely used method for treating disorder averages, fulfils particle conservation at finite bias with or without electron correlations. Finally, our results hint that the observed trends in conductance due to interactions and disorder also appear as signatures in the single-site entanglement entropy.

arXiv comment5 pages, 4 figures

References in corpus (20)

• Conserving GW scheme for nonequilibrium quantum transport in molecular contacts
• Strongly Correlated Materials
• Mean field theory of the Mott-Anderson transition
• Conserving approximations in time-dependent quantum transport: Initial correlations and memory effects
• Generalized Inverse Participation Ratio as a Possible Measure of Localization for Interacting Systems
• Entanglement Scaling in the One-Dimensional Hubbard Model at Criticality
• Successes and Failures of Kadanoff-Baym Dynamics in Hubbard Nanoclusters
• Hubbard nanoclusters far from equilibrium
• Conducting phase in the two-dimensional disordered Hubbard model
• Do interactions increase or reduce the conductance of disordered electrons? It depends!
• Comparative study of many-body perturbation theory and time-dependent density functional theory in the out-of-equilibrium Anderson model
• Anderson localization vs. Mott-Hubbard metal-insulator transition in disordered, interacting lattice fermion systems
• Particle-Hole Symmetry and the Effect of Disorder on the Mott-Hubbard Insulator
• Entanglement entropy in one-dimensional disordered interacting system: The role of localization
• Quantum Transport Theory with the Nonequilibrium Coherent Potentials
• Interacting fermions in 1D disordered lattices: Exploring localization and transport properties with lattice density-functional theories
• Obtaining localization properties efficiently using the Kubo-Greenwood formalism
• Can we always get the entanglement entropy from the Kadanoff-Baym equations? The case of the T-matrix approximation
• Entanglement enhancement in spatially inhomogeneous many-body systems
• Coherent Potential Approximation as a Voltage Probe

Cited by in corpus (6)

• Entanglement and thermokinetic uncertainty relations in coherent mesoscopic transport
• Adiabatic Preparation of a Correlated Symmetry-Broken Initial State with the Generalized Kadanoff--Baym Ansatz
• Formal equivalence between partitioned and partition-free quenches in quantum transport
• Disorder and interactions in systems out of equilibrium: The exact independent-particle picture from density functional theory
• Coherence and de-coherence in the Time-Resolved ARPES of realistic materials: an ab-initio perspective
• Glassy disorder-induced effects in noisy dynamics of Bose-Hubbard and Fermi-Hubbard systems