Checkerboard order in the t--J model on the square lattice

Details Checkerboard order in the t--J model on the square lattice Checkerboard order in the t--J model on the square lattice

2006-05-09

arxiv.org/abs/cond-mat/0605226v1

Physics

Condensed Matter

Strongly Correlated Electrons

Scientific paper

10.1016/j.jmmm.2006.10.449

We propose that the inhomogeneous patterns seen by STM in some underdoped superconducting cuprates could be related to a bond-order-wave instability of the staggered flux state, one of the most studied "normal" state proposed to compete with the d-wave RVB superconductor. A checkerboard pattern is obtained by a Gutzwiller renormalized mean-field theory of the t-J model for doping around 1/8. It is found that the charge modulation is always an order of magnitude smaller than the bond-order modulations. This is confirmed by an exact optimization of the wavefunction by a variational Monte Carlo scheme. The numerical estimates of the order parameters are however found to be strongly reduced w.r.t their mean-field values.

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