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2015 | 128 | 2 | 173-175
Article title

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

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EN
Abstracts
EN
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.
Keywords
Year
Volume
128
Issue
2
Pages
173-175
Physical description
Dates
published
2015-08
References
  • [1] S. Gullapalli, M.S. Wong, Chem. Eng. Prog. 107, 28 (2011)
  • [2] D. Jerome, C.R. Pasquier, in: Frontiers in Superconducting Materials, Ed. A.V. Narlikar, Springer, Berlin 2005, p. 183
  • [3] T. Sugano, S.J. Blundell, T. Lancaster, F.L. Pratt, H. Mori, Phys. Rev. B 82, 180401 (2010), doi: 10.1103/PhysRevB.82.180401
  • [4] S.R.J.F. Clark, Strongly Correlated One-Dimensional Systems of Cold Atoms in Optical Lattices, Trinity College, Oxford 2007
  • [5] L. Gálisová, J. Strečka, arXiv: 1408.1207
  • [6] B. Lulek, T. Lulek, A. Wal, P. Jakubczyk, Physica B 337, 375 (2003), doi: 10.1016/S0921-4526(03)00430-7
  • [7] D. Jakubczyk, Acta Phys. Pol. B 44, 1921 (2013), doi: 10.5506/APhysPolB.44.1921
  • [8] P. Jakubczyk, S. Topolewicz, A. Wal, Open Syst. Inform. Dyn. 16, 221 (2009), doi: 10.1142/S1230161209000165
  • [9] J. Strečka, On the Theory of Generalized Algebraic Transformations, LAP LAMBERT Academic Publishing, Saarbrücken 2010
  • [10] D.A. Lavis, G.M. Bell, Statistical Mechanics of Lattice Systems, Vol. 1, Springer, Oxford 1999
Document Type
Publication order reference
YADDA identifier
bwmeta1.element.bwnjournal-article-appv128n209kz
Identifiers
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