A new definition of the local chemical potential in a semiconductor nanostructure

A new definition is given for the local chemical potential mu L in a semiconductor nanostructure which is transmitting currents. It is determined by the equation n(r, mu 1, mu 2,...)=n(r, mu L, mu L,...) where n denotes the electron density, r is the point at which mu L is required and mu t denotes the chemical potential in the reservoir feeding terminal. This equation for mu L avoids any reference to non-invasive voltage probes which have been used in previous definitions. It is used to discriminate between previous formulae which use the ideas.