Materials and devices that provide total transmission of electrons without ballistic propagation and methods of devising same

Quantum dragon materials and devices have unit (total) transmission of electrons for a wide range of electron energies, even though the electrons do not undergo ballistic propagation, when connected optimally to at least two external leads. Quantum dragon materials and devices, as well as those that are nearly quantum dragons, enable embodiments as quantum dragon electronic or optoelectronic devices, including field effect transistors (FETs), sensors, injectors for spin-polarized currents, wires having integral multiples of the conductance quantum, and wires with zero electrical resistance. Methods of devising such quantum dragon materials and devices are also disclosed.