RKKY Interactions and Low-Temperature Behaviour of Spins in Quasiperiodic Tilings |
| S. Thiem
Theoretical Physics, Oxford University, 1 Keble Road, Oxford OX1 3NP, UK |
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| We study the structure of the Ruderman-Kittel-Kasuya-Yosida interactions for selected quasiperiodic tilings. The interaction energies between the magnetic impurities in these systems are computed by a continued fraction expansion for the Green function of the conduction electrons. Based on these results we study the alignment of the magnetic moments in the Ammann-Beenker tiling by Monte Carlo simulations. In particular, we are interested in the structure of the magnetic ground state and the low-temperature behaviour for the Ising model. |
DOI: 10.12693/APhysPolA.126.613 PACS numbers: 75.50.Kj, 61.43.Bn |