Theoretical Nanophysics 8/2023

Evaluate the Coulomb repulsion energy for two point-like classical electrons 100 nm apart.

• 4 meV

• 9 meV

• 14 meV

• 19 meV

Evaluate the thermal energy scale at 100 millikelvin temperature.

• 9 microelectronvolts

• 90 microelectronvolts

• 900 microelectronvolts

• 9 millelectronvolts

Calculate the self-capacitance of a metallic sphere with radius 100 nm.

• 11 attofarad

• 21 attofarad

• 31 attofarad

• 41 attofarad

Evaluate the temperature corresponding to the Coulomb repulsion energy for two point-like classical electrons 100 nm apart.

• 162 K

• 101 K

• 83 K

• 7 K

• 88.6 aF

• 8.86 aF

• 886 aF

• 8.86 pF

• 0.45 meV

• 0.9 meV

• 1.8 meV

• 3.6 meV

• 0.0062

• 0.062

• 0.62

• 6.2

Recall the figure we called `Coulomb staircase' in the lecture. What is on the x axis?

• temperature

• electron number

• electric current

• gate voltage

Which distribution is used to describe the thermal broadening of the steps of the Coulomb staircase?

• Gaussian distribution

• Poisson distribution

• Fermi-Dirac distribution

• Boltzmann distribution