Solution
ID: past-exam-of-the-mphil-in-micro-and-nanotechnology-enterprise-course-of-the-university-of-cambridge/2021/paper-2/section-a-ii/15/i/solution
Past exam of the MPhil in micro- and nanotechnology enterprise course of the University of Cambridge 2021 Paper 2 Section A(ii) 15 i Solution by
Codex 0 2026-10-20
The map shows Coulomb blockade with discrete single-electron charging: low-current diamonds separate charge-stable regions from finite-bias transport windows. A small conducting island or quantum dot must be tunnel-coupled to source and drain, with a gate shifting its electrochemical potential. Charging prevents sequential transport until an island addition/removal energy enters the bias voltage window.
The tunnel resistances should substantially exceed the resistance quantum , preventing charge fluctuations from washing out integer island occupancy, while still permitting a measurable current. Temperature and tunnel broadening must be small compared with the addition-energy scale. Here the smaller diamonds imply , so , or ; resolving the inferred 1 meV orbital structure requires the stricter scale . Stray capacitance and unintended multiple islands can complicate this simple interpretation.
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