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A periodic $4a \times 4a$ density of states (DOS) modulation (a "checkerboardpattern") was observed with STM in $\rm Na_{x}Ca_{2-x}CuO_2Cl_2$ (NCCOC) [T.Hanaguri \emph{et al.}, Nature \textbf{430}, 1001 (2004)]. Its periodicity isthe same as that of the "stripe" charge order observed with neutron scatteringin $\rm La_{1.875}Ba_{0.125}CuO_4$ (LBCO) [J. M. Tranquada \emph{et al.},Nature \textbf{429}, 534 (2004)] and $\rm La_{1.48}Nd_{0.4}Sr_{0.12}CuO_4$(LNSCO) [J. M. Tranquada \emph{et al.}, Phys. Rev. B \textbf{54}, 7489 (1996)].An obvious question is whether the "stripes" are actually "checkers".Unfortunately, because NCCOC samples are small and LBCO samples do not cleave,neutron and STM measurements cannot be carried out on the same system. Todetermine the relationship between stripes and checkers we used resonant softx-ray scattering (RSXS), previously applied to LBCO [P. Abbamonte \emph{etal.}, Nature Physics \textbf{1}, 155 (2005)], to study single crystals ofNCCOC. No evidence was seen for a $4a \times 4a$ DOS modulation, indicatingthat the checkerboard effect is not directly related to the stripe modulationin LBCO. Our measurements suggest either glassy electronic behavior or theexistence of a surface-nucleated phase transition in NCCOC [S. E. Brown\emph{et al.}, Phys. Rev. B \textbf{71}, 224512 (2005)].Comment: 4 pages, 3 figure

physical review. b, condensed matter and materials physics

Absence of long-ranged charge order in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Na</mml:mi><mml:mi>x</mml:mi></mml:msub><mml:msub><mml:mi mathvariant="normal">Ca</mml:mi><mml:mrow><mml:mn>2</mml:mn><mml:mo>−</mml:mo><mml:mi>x</mml:mi></mml:mrow></mml:msub><mml:mi mathvariant="normal">Cu</mml:mi><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">Cl</…

Absence of long-ranged charge order inNaxCa2−xCuO2Cl