From integrability to conductance, impurity systems

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.

42 pages Latex, 5 figures

References in corpus (3)

• The Josephson current in Luttinger liquid-superconductor junctions
• Finite temperature correlation functions from form factors
• Form factors from free fermionic Fock fields, the Federbush model

Cited by in corpus (21)

• Classically integrable field theories with defects
• Some aspects of jump-defects in the quantum sine-Gordon model
• Reflection-Transmission Algebras
• Affine Toda field theories with defects
• Solving topological defects via fusion
• From Defects to Boundaries
• On a systematic approach to defects in classical integrable field theories
• Thermodynamic Bethe ansatz for non-equilibrium steady states: exact energy current and fluctuations in integrable QFT
• The quantum non-linear Schrodinger model with point-like defect
• Semiclassical analysis of defect sine-Gordon theory
• Finite Temperature Quantum Field Theory with Impurities
• Boundary form factors of the sinh-Gordon model with Dirichlet boundary conditions at the self-dual point
• Interplay between Zamolodchikov-Faddeev and Reflection-Transmission algebras
• Algebraic approach to multiple defects on the line and application to Casimir force
• Relativistic treatment of harmonics from impurity systems in quantum wires
• Rational sequences for the conductance in quantum wires from affine Toda field theories
• Entanglement Entropy in Integrable Field Theories with Line Defects I. Topological Defect
• Massive ghost theories with a line of defects
• Applications of quantum integrable systems
• Entanglement Entropy in Integrable Field Theories with Line Defects II. Non-topological Defect
• Fock representations of Zamolodchikov algebras and R-matrices