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We show, using density matrix renormalization group calculations complementedby field theoretic arguments, that the spin gapped phase of the one dimensionalKondo-Heisenberg model exhibits quasi-long range superconducting correlations{\it only} at a non-zero momentum. The local correlations in this phaseresemble those of the pair density wave state which was recently proposed todescribe the phenomenology of the striped ordered high temperaturesuperconductor {La$_{2-x}$Ba$_x$% CuO$_4$}, in which the spin, charge, andsuperconducting orders are strongly intertwined.

Pair Density Wave correlations in the Kondo-Heisenberg Model