Cohen Doron: The theory of energy absorption and the conductance of closed rings
Consider a multichannel closed ring with disorder. In the semiclassical treatment its conductance is given by the Drude formula. Our theory challenges this result both in the limit of strong disorder (eigenstates are not quantum-ergodic in real space) and in the limit of weak disorder (eigenstates are not quantum-ergodic in momentum space). Consequently the analysis of conductance requires going beyond linear response theory, leading to a resistor network picture of transitions between energy levels.- Our theory implies that the correct quantum result for the conductance of ballistic ring is neither Landauer-like nor Drude.
- The same idea was later used in collaboration with M. Wilkinson and B. Mehlig to develop a theory for the rate of energy absorption by metallic grains.
- In the strong disorder limit our theory provides a firm unified framework from which the "hopping" phenomenology of Mott can be derived.
