Exercise 3 - Physical properties of nano-structures 1. We have a double tunnel junction with a 4 nm metallic particle, separated by a thin insulating layer from the two electrodes:

R.C

R.C

n

no blockade

island

+V,

+V,

blockade region

Use the estimate given for Coulomb blockade for such a junction in class, with C=C=C, kT

2. Estimate the maximal possible conductance of a gold nanowire, of length 100 and diameter 20 around T=0K. The fermi energy of gold is ~5.5 eV.

Exercise 3 - Physical properties of nano-structures 1. We have a double tunnel junction with a 4nm metallic particle, separated by a thin insulating layer from the two electrodes: Use the estimate given for Coulomb blockade for such a junction in class, with C1=C2=C, kT