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Using the t--J model (which can also include Coulomb repulsion) and the``plain vanilla'' renormalized mean-field theory of Zhang et al. (1988),stability of inhomogeneous 4a x 4a superstructures as those observed incuprates superconductors around hole doping 1/8 is investigated. We find anon-uniform 4a x 4a bond order wave involving simultaneously small (~ 10^-2 t)inhomogeneous staggered plaquette currents as well as a small charge densitymodulation similar to pair density wave order. On the other hand, no supersolidphase involving a decoupling in the superconducting particle-particle channelis found.Comment: 4 page

physical review. b, condensed matter and materials physics

Stability of inhomogeneous superstructures from renormalized mean-field theory of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>t</mml:mi><mml:mtext>−</mml:mtext><mml:mi>J</mml:mi></mml:mrow></mml:math>model

Stability of inhomogeneous superstructures from renormalized mean-field theory of thet−Jmodel