Relation between the geometry of a two-dimensional sample and its equilibrium
physical properties is exemplified here for a system of non-interacting
electrons on a Moebius strip. Dispersion relation for a clean sample is derived
and its persistent current under moderate disorder is elucidated, using
statistical analysis pertinent to a single sample experiment. The flux
periodicity is found to be distinct from that in a cylindrical sample, and the
essential role of disorder in the ability to experimentally identify a Moebius
strip is pointed out.Comment: 5 pages, 4 figure