3.3.3 The Insulator-Metal Interface

The condition for the potential at the insulator-metal interface reads:

$$\varphi_s = \varphi_m - \varphi_{W} \varphi_{W} = -\frac{E_W}{q}$$ (3.97)

with $E_W$ the work function energy of the metal at the insulator surface. The thermal condition reads:

$$T_{L} = {\it T}_\mathrm{C}$$ (3.98)

i.e., the lattice temperature ${\it T}_\mathrm{L}$ in the insulator at the boundary is continuous and determined by the contact temperature ${\it T}_\mathrm{C}$.