Coulomb drag of Luttinger liquids and quantum-Hall edges
Karsten Flensberg (Danish Institute of Fundamental Metrology)
TL;DR
This paper investigates Coulomb drag in coupled one-dimensional systems described by Luttinger liquids and quantum Hall edges, revealing finite zero-temperature drag at specific interaction parameters and potential experimental signatures in fractional quantum Hall systems.
Contribution
It provides a detailed analysis of Coulomb drag in Luttinger liquids and quantum Hall edges, highlighting conditions for finite zero-temperature drag and effects of finite wire length.
Findings
Finite drag at zero temperature for g=1/2 in Luttinger liquids
Drag suppression at low temperature due to finite wire length
Potential observation of enhanced drag in fractional quantum Hall edges
Abstract
We study the transconductance for two coupled one-dimensional wires or edge states described by Luttinger liquid models. The wires are assumed to interact over a finite segment. We find for the interaction parameter that the drag rate is finite at zero temperature, which cannot occur in a Fermi-liquid system. The zero temperature drag is, however, cut off at low temperature due to the finite length of the wires. We also consider edge states in the fractional quantum Hall regime, and we suggest that the low temperature enhancement of the drag effect might be seen in the fractional quantum Hall regime.
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