1997/02/19 by Juan Carlos Chaves, J. C. Chaves, Indubala I. Satija +1 · 16 citations
Mathematics · Physics and Astronomy · #Aperiodic graph #Charge (physics) #Condensed matter physics #Fermion #Lanczos resampling #Mathematics #Physics #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum mechanics #Quasiperiodic function #Scaling #Topological Materials and Phenomena #cond-mat.dis-nn #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.55.14076
published in Physical review. B, Condensed matter 55(21), 14076-14079 (American Physical Society) · 11 pages LaTex document with 5 eps figures. Uses revtex style files
arxiv created 1997/02/19 · openalex publication_date 1997/06/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Motivated by the existence of a metal-insulator transition in one-dimensional noninteracting fermions in quasiperiodic and pseudorandom potentials, we studied interacting spinless fermion models using exact many-body Lanczos diagonalization techniques. Our main focus was to understand the effect of the fermion-fermion interaction on the transport properties of aperiodic systems. We calculated the ground-state energy and the Kohn charge stiffness Dc. Our numerical results indicate that there exists a region in the interaction strength parameter space where the system may behave differently than the metallic and insulating phases. This intermediate phase may be characterized by a power-law scaling of the charge stiffness constant in contrast to the localized phase where Dc scales exponentially with the size of the system.