Question

electrons must be able to flow through a material in order for the material to conduct electricity.

Answer 1

The statement is basically correct but needs a small clarification: electrical conduction requires mobile charge carriers, and in many materials those carriers are electrons — but not always.

Key points
- In metals and most solids that conduct electricity, conduction happens because electrons (or electron-like quasiparticles such as holes) are free to move through the material.
- In semiconductors the carriers can be electrons and/or holes (the absence of an electron) depending on doping and conditions.
- In electrolytes (solutions, ionic solids) the mobile charge carriers are ions, not electrons.
- An applied electric field produces a net drift of these carriers; that drift current is what we call electrical conduction.
- Some effects that look like “current” are not electron flow: dielectric polarization produces bound charge movement and displacement current (important in AC fields) but no steady DC electron conduction.
- Quantum effects (tunneling) can move electrons across barriers without classical conduction paths, but that still transfers charge.
- Superconductors conduct with zero resistance because charge is carried by Cooper pairs (paired electrons) that move without scattering.

Short summary: Yes — for a material to conduct, it must have mobile charge carriers able to move under an electric field (often electrons, sometimes holes or ions).