2001/08/23 by Fabian H. L. Essler, Fabian H. L. Eßler, A. M. Tsvelik +1 · 8 citations
Physics and Astronomy · #Advanced Condensed Matter Physics #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.65.115117
published as Phys. Rev. B65, 115117 (2002). · 14 pages, 13 figures
arxiv created 2001/08/23 · openalex publication_date 2002/03/08 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider a model of one-dimensional Mott insulators coupled by a weak interchain tunneling t_\ensuremath⊥. We first determine the single-particle Green's function of a single chain by exact field-theoretical methods and then take the tunneling into account by means of a random-phase approximation. In order to embed this approximation into a well-defined expansion with a small parameter, the Fourier transform T_\ensuremath⊥(k) of the interchain coupling is assumed to have a small support in momentum space such that every integration over transverse wave vector yields a small factor \ensuremathκ02\ensuremath≪1. When T_\ensuremath⊥(0) exceeds a critical value, a small Fermi surface develops in the form of electron and hole pockets. We demonstrate that Luttinger's theorem holds both in the insulating and in the metallic phases. We find that the quasiparticle residue Z increases very fast through the transition and quickly reaches a value of about 0.4--0.6. The metallic state close to the transition retains many features of the one-dimensional system in the form of strong incoherent continua.