Crystalline conductance and absolutely continuous spectrum of 1D samples

DOI10.1007/S11005-016-0844-8zbMath1338.82032arXiv1512.00099OpenAlexW3098379417MaRDI QIDQ295871

Yoram Last, Laurent Bruneau, Vojkan Jakšić, Claude-Alain Pillet

Publication date: 14 June 2016

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.00099

zbMATH Keywords

Schrödinger operatorsabsolutely continuous spectrumquantum transportconductances

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10)

Related Items (4)

Crystalline conductance and absolutely continuous spectrum of 1D samples ⋮ Conductance and absolutely continuous spectrum of 1D samples ⋮ Ballistic transport for limit-periodic Jacobi matrices with applications to quantum many-body problems ⋮ Mean-field model for the junction of two quasi-1-dimensional quantum Coulomb systems

Cites Work

• Unnamed Item
• Crystalline conductance and absolutely continuous spectrum of 1D samples
• Behavior of generalized eigenfunctions at infinity and the Schrödinger conjecture
• Landauer-Büttiker and Thouless conductance
• Landauer-Büttiker formula and Schrödinger conjecture
• Conductance and absolutely continuous spectrum of 1D samples
• A rigorous proof of the Landauer–Büttiker formula
• Transport properties of quasi-free fermions
• Independent electron model for open quantum systems: Landauer-Büttiker formula and strict positivity of the entropy production
• On the Kotani-Last and Schrödinger conjectures

This page was built for publication: Crystalline conductance and absolutely continuous spectrum of 1D samples