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Gapless symmetry-protected topological phase of fermions in one dimension

Gapless symmetry-protected topological phase of fermions in one dimension

We consider a one-dimensional, time-reversal-invariant system with attractive interactions and spin-orbit coupling. Such a system is gapless due to the strong quantum fluctuations of the superconducting order parameter. However, we show that a sharply defined topological phase with protected, exponentially localized edge states exists. If one of the spin components …