Fano-Rashba effect and enhancement of figure of merit and violation of Wiedemann-Franz law
Abstract In the present article, we study the spin-dependent thermoelectric properties of a quantum dot connected to two ferromagnetic contacts. We obtain results for the conductance, thermopower, thermal conductance, Lorentz ratio and figure of merit. The transmission probability shows antiresonances as a function of the energy due to the quantum interference effects. It results in a violation of the Wiedemann-Franz law which produces an improvement of the spin-dependent thermopower and the merit figure of the system. This set up can be used to design new spin-dependent thermoelectric devices with high efficiencies.
For a large class of vanilla contingent claims, we establish an explicit F\"ollmer-Schweizer decomposition when the underlying is a process with independent increments (PII) and an exponential of a PII process. This allows to provide an efficient algorithm for solving the mean variance hedging problem. Applications to models derived from the electricity market are performed.