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

D. Poilblanc·C. Weber·F. Mila·M. Sigrist
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Abstract

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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D. Poilblanc, C. Weber, F. Mila, M. Sigrist. 2006-05-09. Checkerboard order in the t--J model on the square lattice. https://doi.org/10.1016/j.jmmm.2006.10.449

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