Abstract
Two models predict a coexistence of superconductivity and antiferromagnetism in low dimensional conductors: (i) in quasi 1D or 2D conductors in which the ( T, pressure) phase diagram exhibits a border line between superconducting and SDW phases, it is favorable to create a phase segregation in the direct space by forming alternatively superconducting and magnetic slabs (ii) a phase segregation may also occur in reciprocal space. A d x 2· y 2 -wave superconducting order is established, with lines of zero gap on the Fermi surface, as in cuprates. In the node region, superconductivity is weak enough to leave room for a confined SDW gap.
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