title: Decagonal quasiferromagnetic microstructure on the penrose tiling.
abstract: The stable magnetization configurations of a ferromagnet on a quasiperiodic tiling have been derived theoretically. The magnetization configuration is investigated as a function of the ratio of the exchange to the dipolar energy. The exchange coupling is assumed to decrease exponentially with the distance between magnetic moments. It is demonstrated that for a weak exchange interaction the new structure, the quasiferromagnetic decagonal configuration, corresponds to the minimum of the free energy. The decagonal state represents a new class of frustrated systems where the degenerated ground state is aperiodic and consists of two parts: ordered decagon rings and disordered spin-glass-like phase inside the decagons.
authors.affiliation: Institut für Angewandte Physik, Jungiusstrasse 11, 20355 Hamburg, Germany.
authors.forename: E Y
authors.initials: EY
authors.lastname: Vedmedenko
authors.forename: H P
authors.initials: HP
authors.lastname: Oepen
authors.forename: J
authors.initials: J
authors.lastname: Kirschner