Conductance in inhomogeneous quantum wires: Luttinger liquid predictions and quantum Monte Carlo results

Abstract

We study electron and spin transport in interacting quantum wires contacted by noninteracting leads. We theoretically model the wire and junctions as an inhomogeneous chain where the parameters at the junction change on the scale of the lattice spacing. We study such systems analytically in the appropriate limits based on Luttinger liquid theory and compare the results to quantum Monte Carlo calculations of the conductances and local densities near the junction. We first consider an inhomogeneous spinless fermion model with a nearest-neighbor interaction and then generalize our results to a spinful model with an onsite Hubbard interaction.

14 pages, 12 figures

References in corpus (11)

• Scaling of Resistance and Electron Mean Free Path of Single-Walled Carbon Nanotubes
• Impurity and correlation effects on transport in one-dimensional quantum wires
• Resistivity of inhomogeneous quantum wires
• Influence of the contacts on the conductance of interacting quantum wires
• Time-resolved charge fractionalization in inhomogeneous Luttinger liquids
• Transport and scattering in inhomogeneous quantum wires
• Electronic transport in inhomogeneous quantum wires
• Electron scattering from domain walls in ferromagnetic Luttinger liquids
• Domain wall scattering in an interacting one-dimensional electron gas
• Low-energy local density of states of the 1D Hubbard model
• Theory of the conductance of interacting quantum wires with good contacts and applications to carbon nanotubes

Cited by in corpus (10)

• Spin transport in a one-dimensional quantum wire
• Spin transport through a spin-1/2 XXZ chain contacted to fermionic leads
• Second order functional renormalization group approach to one-dimensional systems in real and momentum space
• Generation of current vortex by spin current in Rashba systems
• Driving XXZ spin chains: Magnetic-field and boundary effects
• Density-matrix renormalization group study of the linear conductance in quantum wires coupled to interacting leads or phonons
• Conductance of correlated many-fermion systems from charge fluctuations
• Conductance of inhomogeneous Luttinger liquids with a finite bandwidth
• Block-Lanczos density-matrix renormalization-group approach to spin transport in Heisenberg chains coupled to leads
• Decoherence of charge density waves in beam splitters for interacting quantum wires