Short-range correlations and spin-mode velocities in ultrathin one-dimensional conductors

TL;DR

This paper analytically investigates the properties of strongly correlated one-dimensional electron fluids in ultrathin wires, focusing on correlations, spin velocities, and thermodynamic quantities relevant for advanced nanoscale devices.

Contribution

It provides analytical calculations of correlation functions, charge compressibility, spin susceptibility, and specific heat for ultrathin 1D electron systems, advancing understanding of their transport and thermodynamics.

Findings

Strong correlations appear at high electron densities in ultrathin wires.

Analytical expressions for correlation functions and thermodynamic quantities are derived.

Results are applicable to carbon nanotube transistors and semiconductor quantum wires.

Abstract

In ultrathin wires positioned on high-k dielectric substrates or nearby metallic gates electrons can form strongly correlated one-dimensional fluids already at rather high electron densities. The density-density correlation function, charge compressibility, spin susceptibility, and electron specific heat of such fluids are calculated analytically. The results are relevant for transport and thermodynamics of novel carbon nanotube field-effect transistors and semiconductor quantum wires.