From integrability to conductance, impurity systems

Castro-Alvaredo, O. & Fring, A. (2002). From integrability to conductance, impurity systems. Nuclear Physics B, 649(3), pp. 449-490. doi: 10.1016/S0550-3213(02)01029-5

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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.

Item Type: Article
Additional Information: Published by Elsevier
Subjects: Q Science > QA Mathematics
Divisions: School of Engineering & Mathematical Sciences > Department of Mathematical Science
URI: http://openaccess.city.ac.uk/id/eprint/16431

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