Integrable Impurities as Boundary Conditions

Abstract

A few exactly solvable interacting quantum many-body problems with impurities were previously reported to exhibit unusual features such as non-localization and absence of backscattering. In this work we consider the use of these integrable impurities as boundary conditions in the framework of linear transport problems. We first show that such impurities enhance the density of states at the Fermi surface, thus increasing the effective system size. The study of the real time-dynamics of a wave packet sent through a series of them inserted in both non-interacting and interacting leads then indicates that these impurities are transparent and do not add artefacts to the measurement of transport properties. We finally apply these new boundary conditions to study the conductance of an interacting scatterer using the embedding method.

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References in corpus (6)

• The numerical renormalization group method for quantum impurity systems
• Real-time dynamics in Quantum Impurity Systems: A Time-dependent Numerical Renormalization Group Approach
• Twofold advance in the theoretical understanding of far-from-equilibrium properties of interacting nanostructures
• Strong enhancement of transport by interaction on contact links
• Persistent currents through a quantum impurity: Protection through integrability
• Residual conductance of correlated one-dimensional nanosystems: A numerical approach

Cited by in corpus (5)

• Exact time-dependent density functional theory for impurity models
• Transport through nanostructures: Finite time vs. finite size
• Mesoscopic behavior of the transmission phase through confined correlated electronic systems
• Non-equilibrium transport through a model quantum dot: Hartree-Fock approximation and beyond
• Embedding method for the scattering phase in strongly correlated quantum dots