Low-Temperature Properties of the Quantum Heisenberg Antiferromagnet on Some One-Dimensional Lattices Containing Equilateral Triangles |
M. Maksymenko a, O. Derzhko a and J. Richter b
aInstitute for Condensed Matter Physics, NAS of Ukraine, 1 Svientsitskii Street, L'viv-11, 79011, Ukraine bInstitut für Theoretische Physik, Universität Magdeburg, P.O. Box 4120, 39016 Magdeburg, Germany |
Received: November 9, 2010 |
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We consider the quantum Heisenberg antiferromagnet in a magnetic field on two one-dimensional lattices containing equilateral triangles (a chain of corner-sharing double tetrahedra and a frustrated three-leg ladder) which support localized-magnon states. By mapping of the localized-magnon degrees of freedom on a classical lattice gas we obtain high-field thermodynamic quantities of the models at low temperatures. |
DOI: 10.12693/APhysPolA.119.860 PACS numbers: 75.10.Jm, 75.40.Gb |