Nanoelectronics

Nanoelectronics is much more difficult tho analyze than nanomechanics as it behaves much more quanummechanically and allows less simpplifying engineering style separation of concerns thus less back on the envelope conservative estimations.
See: Nanomechanics is barely mechanical quantummechanics & Non mechanical technology path.

Still nanoelectronics will be extremely useful and thus can't really be ignored.
This page is just meant as a starting point to learn about the subject in the context of APM and gem-gum-tec.

Nanowires and ribbons being of obvious interest also bring special interest to theories describing the cases of 1D and 2D electon gas.

A lot of exotic phenomena can be likely created via:

constraint of the electron gas to 1D/2D
atomic precision removing crystal defects as scatter-sources (phonons still can scatter electrons)
atomically precise patterning and chemical additions (repetitive surface structures)
well metastable highly strained bonds
applied pressure positive or negative pressure (comression or tension) See: High pressure

The exotic phenomena that are likely creatable include but are not limited to:

Very fast electron motion due to low effective electron masses (cone in dispersion relation)
Superconduction at high temperatures (perhaps even at or beyond room temperature)
Especially stable spin states
...

External links

Nanoelectronics theories

Mott insulator
"A Mott transition is a transition from a metal to an insulator, driven by the strong interactions between electrons. One of the simplest models that can capture Mott transition is the Hubbard model." & "Mott insulators … have applications in thin-film magnetic heterostructures and the strong correlated phenomena in high-temperature superconductivity"
Mott criterion
Charge-transfer insulators