Coulomb blockade oscillations in the thermopower of open quantum dots

We consider Coulomb blockade oscillations of thermoelectric coefficients of a single electron transistor based on a quantum dot strongly coupled to one of the leads. An analytic expression for the thermopower as a function of temperature T and the reflection amplitude r in the quantum point contact is obtained. Two regimes can be identified: T << E-C\r\(2) and T << E-C\r\(2), where E-C is the charging energy of the dot. The former regime is characterized by a weak logarithmic dependence of thr thermopower on the reflection coefficient, in the latter the thermopower is linear in the reflection coefficient \r\(2) but depends on temperature only logarithmically.