Transport and scattering in inhomogeneous quantum wires

Abstract

We consider scattering and transport in interacting quantum wires that are connected to leads. Such a setup can be represented by a minimal model of interacting fermions with inhomogeneities in the form of sudden changes in interaction strength and/or velocity. The inhomogeneities generally cause relevant backscattering, so it is a priori unclear if a perfectly ballistic quantum wire can exist in the low temperature limit. We are able to identify such a perfectly conducting fixed point even for large abrupt changes, which in the considered model corresponds to a velocity matching condition. The general position dependent Green's function is calculated in the presence of a sudden change, which is confirmed numerically with high accuracy. The exact form of the interference pattern in the form of density oscillations around inhomogeneities can be used to estimate the effective strength of local backscattering sources.

5 pages, 3 figures. Published version. For more information and the latest version see http://www.physik.uni-kl.de/eggert/papers/index.html

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• Quantum Phase Transition and Protected Ideal Transport in a Kondo Chain
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• The Two-Band Luttinger Liquid with Spin-Orbit Coupling: Applications to Monatomic Chains on Surfaces
• Absence of orthogonality catastrophe after a spatially inhomogeneous interaction quench in Luttinger liquids
• Two-wire Junction of Inequivalent Tomonaga-Luttinger Liquids
• Universal Duality in Luttinger Liquid Coupled to Generic Environment
• Theory of the conductance of interacting quantum wires with good contacts and applications to carbon nanotubes
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• Block-Lanczos density-matrix renormalization-group approach to spin transport in Heisenberg chains coupled to leads
• Conductance of correlated many-fermion systems from charge fluctuations
• Decoherence of charge density waves in beam splitters for interacting quantum wires