Spin and charge Tomonaga-Luttinger parameters in quantum wires

¹ Department of Physics, King's College London - Strand, London, WC2R 2LS, UK
² Instituto de Ciencia de Materiales (CSIC) - Cantoblanco, E-28049 Madrid, Spain
³ I. Institut für Theoretische Physik der Universität Hamburg Jungiusstr. 9, D-20355 Hamburg, Germany
⁴ Department of Physics, Indiana University 701 E Third Street, Swain Hall-West 117, Bloomington, IN 47405, USA

Received: 8 September 2000
Accepted: 16 November 2000

Abstract

Low-energy properties of the homogeneous electron gas in one dimension are completely described by the group velocities of its charge (plasmon) and spin collective excitations. Because of the long range of the electron-electron interaction, the plasmon velocity is dominated by an electrostatic contribution and can be estimated accurately. We report on Quantum Monte Carlo simulations which demonstrate that the spin velocity is substantially decreased by interactions in semiconductor quantum wire realizations of the one-dimensional electron liquid.