Is the pseudogap a topological state?

Abstract

We conjecture that the pseudogap is an inhomogeneous condensate above the homogeneous state whose existence is granted by topological stability. We consider the simplest possible order parameter theory that provides this interpretation of the pseudogap and study its angular momentum states. Also we obtain a solution of the Bogomol'nyi self-duality equations and find skyrmions. The normal state gap density, the breaking of the time reversal symmetry and the checker board pattern are naturally explained under this view. The pseudo gap is a lattice of skyrmions and the inner weak local magnetic field falls below the experimental threshold of observation given by NMR/NQR and μSR experiments.