Abstract
We investigate superconductivity in strain-engineered graphene using a self-consistent Bogoliubov-de Gennes approach. Challenging the paradigm that the high density of states in flat bands universally enhances pairing, we identify a "kinetic blockade" mechanism: strain-induced sublattice polarization segregates electronic states, rendering these singularities inert. Instead, superconductivity emerges as robust filaments at geometric nodes, forming a pair density wave. This state features a sign-reversing order parameter, detectable via impurity-induced zero-energy modes. Our findings reveal a unique geometric origin for filamentary superconductivity, offering new perspectives on strain-tuned quantum phases in Dirac materials.
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