Quantum (Nano-Scale) Limit in a Parallel Magnetic Field in Layered Q1D Conductors

We show that electron wave functions in a quasi-one-dimensional (QID) layered conductor in a parallel magnetic field are always localized on conducting layers. Wave functions and electron spectrum in a quantum limit, where the 'sizes' of quasi-classical electron orbits are of the order of nano-scale distances between the layers, are determined. Possible applications of our results to physical properties of QID materials in their superconducting and metallic phases are discussed.