Physics / advanced
Carriers, interfaces, and mesoscopic transport
Study semiconductor carriers and junctions, then connect quantum confinement and coherent transport to experimentally resolved electronic behavior.
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Module 01 advanced
Carriers, interfaces, and mesoscopic transport
Study semiconductor carriers and junctions, then connect quantum confinement and coherent transport to experimentally resolved electronic behavior.
- 01
Count intrinsic and doped semiconductor carriers
Combine band-state counting, Fermi occupation, and charge neutrality while checking ionization and degeneracy.
34 min - 02
Balance drift, diffusion, and electrochemical drive
Track electron and hole current signs and derive the thermal connection between mobility and diffusion.
33 min - 03
Derive a junction's space charge and built-in potential
Connect depletion charge, field direction, voltage, and capacitance in an abrupt homojunction.
35 min - 04
Derive diode current and diagnose recombination
Obtain the diffusion diode law and identify which physical assumptions an observed ideality factor can test.
35 min - 05
Separate Schottky barrier height from band bending
Use ideal contact alignment as a starting model and identify pinning, depletion, and tunneling limits.
34 min - 06
Count confinement levels and low-dimensional states
Relate envelope-function confinement to subbands, density of states, and channel counting without duplicating spin factors.
36 min - 07
Compute conductance from transmission channels
Count modes and spin consistently, include thermal averaging, and interpret finite ballistic contact resistance.
36 min - 08
Resolve the charging energy of an island
Use a constant-interaction model to locate charge degeneracies, gate periods, and the limits of sequential tunneling.
36 min - 09
Track phase-coherent return paths in a diffusive conductor
Explain weak localization, estimate its coherence length and magnetic scale, and distinguish dephasing from elastic scattering.
36 min - 10
Use partition noise to learn beyond conductance
Calculate a Fano factor from transmission eigenvalues and distinguish shot noise from thermal noise and interaction effects.
36 min