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We examine the two-dimensional $t{-}J$ model by using variational approachcombined with well established quantum Monte Carlo techniques [S. Sorella {\itet al.}, \prl {\bf 88}, 117002 (2002)] that are used to improve systematicallythe accuracy of the variational ansatz. Contrary to recent density-matrixrenormalization group and projected entangled-pair state calculations [P.Corboz {\it et al.}, \prb {\bf 84}, 041108(R) (2011)], a uniform phase is foundfor $J/t=0.4$, even when the calculation is biased with an ansatz thatexplicitly contains stripe order. Moreover, in the small hole doping regime,i.e., $\delta \lesssim 0.1$, our results support the coexistence ofantiferromagnetism and superconductivity.

Absence of static stripes in the two-dimensional $t{-}J$ model by an accurate and systematic quantum Monte Carlo approach