arXiv · 1301.2472
Analytical Description of the Quantum-Mesoscopic-Classical Transition in Systems with Quasi-Discrete Environment
Abstract
We investigate dynamic properties of inhomogeneous nano-materials, which appear in analytical descriptions typically as series of $δ$-functions with corresponding Gibbs weights. We focus on observables relevant for transport theories of Josephson junction arrays and granular systems near the superconductor -- insulator transition. Furthermore, our description applies to the theory of tunnel junctions exchanging energy with a "bath", the latter having a discrete spectrum. Using the matrix theta-function formalism we find an analytical expression for the transport characteristics capturing the complete temperature driven transition from the quantum to the classical regime.
Explore related subjects
Keep this discovery
N. M. Chtchelkatchev, A. Glatz. 2013-01-11. Analytical Description of the Quantum-Mesoscopic-Classical Transition in Systems with Quasi-Discrete Environment. https://doi.org/10.1103/physreve.85.061129
Cite the original work for its findings. Save a collection to share your selection of sources.