INTERACTING ELECTRONS IN DISORDERED POTENTIALS - THE INVERSE COMPRESSIBILITY

The inverse compressibility, i.e., the change in the chemical potentia l as the number of particles in the sample is changed, is studied for a small quantum dot. It is found that the inverse compressibility beha ves differently for different values of disorder and electron-electron interactions. For weak interactions or strong disorder one may unders tand this behavior in the framework of a random matrix theory.