1999/12/20 by Rochus Klesse, Ady Stern · 6 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum and electron transport phenomena #Quantum, superfluid, helium dynamics #cond-mat.mes-hall #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.62.16912
16 pages, 3 figures, revTeX
arxiv created 1999/12/20 · openalex publication_date 2000/12/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study Coulomb drag in a pair of parallel one-dimensional electron systems within the framework of the Tomonaga-Luttinger model. We find that Coulomb coupling has a much stronger effect on one-dimensional wires than on two-dimensional layers: At zero temperature the transresistivity diverges, due to the formation of locked charge density waves. At temperature well above a crossover temperature T* the transresistivity follows a power law \ensuremathρ\ensuremath∝Tx, where the interaction-strength dependent exponent x is determined by the Luttinger liquid parameter K_c\ensuremath- of the relative charge mode. At temperature below T* relative charge displacements are enabled by solitonic excitations, reflected by an exponential temperature dependence. The crossover temperature T* depends sensitively on the wire width, interwire distance, Fermi wavelength and the effective Bohr radius. For wire distances d\ensuremath≫kF^\ensuremath-1 it is exponentially suppressed with T*/EF\ensuremath∼exp[\ensuremath-dkF/(1\ensuremath-K_c\ensuremath-)]. The behavior changes drastically if each of the two wires develop spin gaps. In this case we find that the transresistivity vanishes at zero temperature. We discuss our results in view of possible experimental realizations in GaAs\ensuremath-AlxGa_1\ensuremath-xAs semiconductor structures.