Charge order and spin-singlet pairs formation in Ti4O7

Details Charge order and spin-singlet pairs formation in Ti4O7 Charge order and spin-singlet pairs formation in Ti4O7

2005-08-16

arxiv.org/abs/cond-mat/0508378v1

J. Phys.: Condens. Matter 18, 10955-10964 (2006)

Physics

Condensed Matter

Strongly Correlated Electrons

6 pages, 4 figures

Scientific paper

10.1088/0953-8984/18/48/022

Charge ordering in the low-temperature triclinic structure of titanium oxide (Ti4O7) is investigated using the local density approximation (LDA)+U method. Although the total 3d charge separation is rather small, an orbital order parameter defined as the difference between t2g occupancies of Ti$^{3+}$ and Ti$^{4+}$ cations is large and gives direct evidence for charge ordering. Ti 4s and 4p states make a large contribution to the static "screening" of the total 3d charge difference. This effective charge screening leads to complete loss of the disproportionation between the charges at 3+ and 4+ Ti sites. The occupied t2g states of Ti$^{3+}$ cations are predominantly of $d_{xy}$ character and form a spin-singlet molecular orbital via strong direct antiferromagnetic exchange coupling between neighboring Ti(1) and Ti(3) sites, whereas the role of superexchange is found to be negligible.

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