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From integrability to conductance, impurity systems

2002/05/08 by Olalla Castro-Alvaredo, Andreas Fring · 1 citation
Physics and Astronomy · #Ansatz #Bethe ansatz #Conductance #Correlation function (quantum field theory) #Function (biology) #Kubo formula #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Rare-earth and actinide compounds #Scattering #Variety (cybernetics) #cond-mat #hep-th

paper · pdf · doi:10.1016/s0550-3213(02)01029-5

published as Nucl.Phys. B649 (2003) 449-490 · 42 pages Latex, 5 figures

arxiv created 2002/05/08 · openalex publication_date 2002/12/30 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We compute the DC conductance with two different methods, which both exploit the integrability of the theories under consideration. On one hand we determine the conductance through a defect by means of the thermodynamic Bethe ansatz and standard relativistic potential scattering theory based on a Landauer transport theory picture. On the other hand, we propose a Kubo formula for a defect system and evaluate the current-current two-point correlation function it involves with the help of a form factor expansion. For a variety of defects in a fermionic system we find excellent agreement between the two different theoretical descriptions.

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