If you are set on doing a dual major,, Then Physics + Electrical engineering should go nicely.
Electrical Engineering deals with Semiconductor Devices (including so called quantum/nano-transistors) & even sometimes some superconductivity (e.g. superconducting devices). This also covers sometimes dealing with the study of materials (solids, amorphous, organics 'for OLED').
You can look at NanoHub: http://www.nanohub.org
Over there, most topics are of interest to Electrical Engineers & Physicists.