The Hilbert Space and the Exact Solution of the Spin-Electron Double-Tetrahedral Chain |

D. Jakubczyk
^{a} and L. Gálisová^{ b}^{a}Department of Physics, Rzeszów University of Technology, al. Powstańców Warszawy 6, 35-959 Rzeszów, Poland
^{b}Department of Applied Mathematics and Informatics, Faculty of Mechanical Engineering, Technical University, Letná 9, 042 00 Košice, Slovak Republic |

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We discuss an exactly solvable double-tetrahedral chain, in which the localized Ising spins regularly alternate with triangular clusters - each available for one mobile electron. We give an exact solution for the considered hybrid system by the construction of the N-th tensor power of the Fourier transformation and using the generalized decoration-iteration mapping tranformation. |

DOI: 10.12693/APhysPolA.128.173 PACS numbers: 02.20.-a, 05.30.-d, 75.10.Pq, 05.50.+q |