NaV_2O_5 as an Anisotropic t-J Ladder at Quarter Filling

Details NaV_2O_5 as an Anisotropic t-J Ladder at Quarter Filling NaV_2O_5 as an Anisotropic t-J Ladder at Quarter Filling

1998-05-26

arxiv.org/abs/cond-mat/9805336v2

J. Phys. Soc. Jpn. 67 (1998) 2996-2999

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 5 gif figures. Fig.3 corrected. Hardcopies of figures (or the entire manuscript) can be obtained by e-mail request to

Scientific paper

10.1143/JPSJ.67.2996

Based on recent experimental evidences that the electronic charge degrees of freedom plays an essential role in the spin-Peierls--like phase transition of NaV$_2$O$_5$, we first make the mapping of low-energy electronic states of the $d$$-$$p$ model for NaV$_2$O$_5$ to the quarter-filled $t$$-$$J$ ladder with anisotropic parameter values between legs and rungs, and then show that this anisotropic $t$$-$$J$ ladder is in the Mott insulating state, of which lowest-energy states can be modeled by the one-dimensional Heisenberg antiferromagnet with the effective exchange interaction $J_{eff}$ whose value is consistent with experimental estimates. We furthermore examine the coupling between the ladders as the trellis lattice model and show that the nearest-neighbor Coulomb repulsion on the zigzag-chain bonds can lead to the instability in the charge degrees of freedom of the ladders.

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