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We report the first measurements of a complete second-order cumulant matrixof net-charge, net-proton, and net-kaon multiplicity distributions for thefirst phase of the beam energy scan program at RHIC. This includes thecentrality and, for the first time, the pseudorapidity window dependence ofboth diagonal and off-diagonal cumulants in Au+Au collisions at \sNN~= 7.7-200GeV. Within the available acceptance of $|\eta|<0.5$, the cumulants growlinearly with the pseudorapidity window. Relative to the correspondingmeasurements in peripheral collisions, the ratio of off-diagonal over diagonalcumulants in central collisions indicates an excess correlation betweennet-charge and net-kaon, as well as between net-charge and net-proton. Thestrength of such excess correlation increases with the collision energy. Thecorrelation between net-proton and net-kaon multiplicity distributions isobserved to be negative at \sNN~= 200 GeV and change to positive at the lowestcollision energy. Model calculations based on non-thermal (UrQMD) and thermal(HRG) production of hadrons cannot explain the data. These measurements willhelp map the QCD phase diagram, constrain hadron resonance gas modelcalculations, and provide new insights on the energy dependence ofbaryon-strangeness correlations. An erratum has been added to address the issueof self-correlation in the previously considered efficiency correction foroff-diagonal cumulant measurement. Previously considered unidentified(net-)charge correlation results ($\sigma^{11}_{Q,p}$ and $\sigma^{11}_{Q,k})$are now replaced with identified (net-)charge correlation($\sigma^{11}_{Q^{PID},p}$ and $\sigma^{11}_{Q^{PID},k}$)

physical review. c

Collision energy dependence of second-order off-diagonal and diagonal  cumulants of net-charge, net-proton and net-kaon multiplicity distributions  in Au+Au collisions