Pn. Butcher et Dp. Chu, A NEW DEFINITION OF THE LOCAL CHEMICAL-POTENTIAL IN A SEMICONDUCTOR NANOSTRUCTURE, Journal of physics. Condensed matter, 5(48), 1993, pp. 633-635
A new definition is given for the local chemical potential mu(L) in a
semiconductor nanostructure which is transmitting currents. It is dete
rmined by the equation n(r, mu(1),mu(2),...) = n(r,mu(L),mu(L),...) wh
ere n denotes the electron density, r is the point at which mu(L) is r
equired and mu(t) denotes the chemical potential in the reservoir feed
ing terminal t. This equation for mu(L) avoids any reference to non-in
vasive voltage probes which have been used in previous definitions. It
is used to discriminate between previous formulae which use the ideas
.