Theoretical study of the electronic states of hollandite vanadate K2V8O16
Author(s) -
S. Horiuchi,
Tomonori Shirakawa,
Y. Ohta
Publication year - 2009
Publication title -
journal of physics conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/150/4/042182
Subject(s) - zigzag , hamiltonian (control theory) , degenerate energy levels , atomic orbital , electronic structure , superlattice , condensed matter physics , octahedron , ground state , hollandite , physics , vanadate , chemistry , electron , quantum mechanics , crystallography , mathematics , ion , inorganic chemistry , geometry , mathematical optimization
Electronic states of hollandite vanadate K2V8O 16, a one-dimensional zigzag-chain system of t2g orbitals in a mixed valent state, are considered. We calculate the Madelung energies to determine the most stable charge-ordering pattern that is consistent with the observed superlattice structure. We then develop the strong-coupling perturbation theory to derive the effective spin-orbit Hamiltonian, starting from the triply-degenerate t2g orbitals in the VO6 octahedral structure. An exact-diagonalization technique is used on small clusters of this Hamiltonian to determine the orbital-ordering pattern and spin structures in the ground state. We thereby discuss the electronic and magnetic properties of K2 V8O16. © 2009 IOP Publishing Ltd
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