1999/09/30 by Vladimir A. Sablikov, Yasha Gindikin
Chemistry · Physics and Astronomy · #Chemistry #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Electron #Electron transport chain #Luttinger liquid #Materials science #Physics #Quantum and electron transport phenomena #Quantum mechanics #Quantum, superfluid, helium dynamics #Range (aeronautics) #cond-mat.mes-hall #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.61.12766
published as Phys. Rev. B 61, 12766 (2000) · 6 pages, 4 figures; updated to the published version
openalex publication_date 2000/05/15 · openalex created_date 2016/06/24 · arxiv created 2017/11/10 · arxiv updated 2017/11/13 · openalex updated_date 2026/08/05
The density operator in the Luttinger model consists of two components, one of which describes long-wave fluctuations and the other is related to the rapid oscillations of charge-density-wave (CDW) type, caused by short-range electron correlations. It is commonly believed, that the conductance is determined by the long-wave component. The CDW component is considered only when an impurity is present. We investigate the contribution of this component to the dynamic density response of a Luttinger liquid free from impurities. The conventional form of the CDW density operator is shown not to conserve the number of particles in the system. We propose the corrected CDW density operator devoid of this shortcoming and calculate the dissipative conductance in the case when the one-dimensional conductor is locally disturbed by a conducting probe. The contribution of CDW component to conductance is found to dominate over that of the long-wave component in the low-frequency regime.