2004/07/31 by Lara Benfatto, L. Benfatto, S. G. Sharapov +5 · 1 citation
Materials Science · Mathematics · Physics and Astronomy · #Charge density wave #Discrete mathematics #Graph #Hamiltonian (control theory) #Mathematical optimization #Mathematics #Optical conductivity #Organic and Molecular Conductors Research #Physics #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum mechanics #Statistical physics #Sum rule in quantum mechanics #Superconductivity #Vertex (graph theory) #Wave function #cond-mat.str-el #cond-mat.supr-con
paper · pdf · doi:10.1103/physrevb.71.104511
published as Phys. Rev. B 71, 104511 (2005) · Revised version, accepted for publication in Phys. Rev. B
arxiv created 2004/11/18 · openalex publication_date 2005/03/22 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We consider the role of the Ward identity in dealing with the transport properties of an interacting system forming a d-wave modulated charge-density wave or staggered flux phase. In particular, we address this issue from the point of view of the restricted optical-conductivity sum rule. Our aim is to provide a controlled approximation for the current-current correlation function which allows us also to determine analytically the corresponding sum rule. By analyzing the role of the vertex functions in both the microscopic interacting model and in the effective mean-field Hamiltonian, we propose a nonstandard low-energy sum-rule for this system. We also discuss the possible applicability of these results for the description of cuprate superconductors in the pseudogap regime.