Charge transport in a Tomonaga-Luttinger liquid: effects of pumping and bias

Abstract

We study the current produced in a Tomonaga-Luttinger liquid by an applied bias and by weak, point-like impurity potentials which are oscillating in time. We use bosonization to perturbatively calculate the current up to second order in the impurity potentials. In the regime of small bias and low pumping frequency, both the DC and AC components of the current have power law dependences on the bias and pumping frequencies with an exponent 2K - 1 for spinless electrons, where K is the interaction parameter. For K < 1/2, the current becomes large for special values of the bias. For non-interacting electrons with K = 1, our results agree with those obtained using Floquet scattering theory for Dirac fermions. We also discuss the cases of extended impurities and of spin-1/2 electrons.

9 pages including 2 figures; this is the published version

References in corpus (6)

• Driven quantum transport on the nanoscale
• Nonadiabatic Electron Pumping: Maximal Current with Minimal Noise
• Resonance approximation and charge loading/unloading in adiabatic quantum pumping
• Transport properties of a Luttinger liquid in the presence of several time-dependent impurities
• Quantized charge pumping by surface acoustic waves in ballistic quasi-1D channels
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Cited by in corpus (13)

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• Quantum charge pumping through fractional Fermions in charge density modulated quantum wires and Rashba nanowires
• Scattering in quantum wires and junctions of quantum wires with edge states of quantum spin Hall insulators
• Quantized charge pumping in superconducting double barrier structure : Non-trivial correlations due to proximity effect
• Transient effects in the backscattered current of a Luttinger liquid
• Quantum Pump for Fractional Charge
• Current enhancement through a time dependent constriction in fractional topological insulators
• Time resolved transport properties of a $Y$-junction of Tomonaga-Luttinger liquids
• Pumping in quantum dots and non-Abelian matrix Berry phases
• Time dependent local potential in a Tomonaga-Luttinger liquid
• Pumping current of a Luttinger liquid with finite length