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Bose metal near pair density wave order in a spin-orbit coupled Kondo lattice
Phys. Rev. B 114, 084502 – Published 5 August, 2026
DOI: https://doi.org/10.1103/d3jf-g24n
Abstract
We show that a three-dimensional superconductor with a non-Abelian SU(2) order parameter can support an extended resistive regime—a Bose metal, in which transport is carried by bosonic electron-Majorana bound states—separating a uniform superconductor from a pair-density-wave (PDW) phase. The setting is a solvable Kondo lattice model introduced previously by the present authors, in which Kondo screening of a Yao-Lee spin liquid generates an order parameter with SU(2), rather than conventional U(1), symmetry, containing both superconducting and spin-density-wave components. Two effects cooperate to make fluctuations anomalously strong in three dimensions: the vanishing of the quadratic superconducting stiffness near the Lifshitz point where the optimal pairing momentum shifts from zero to finite , and the enlarged SU(2) order-parameter manifold. Building on our prior result that doping away from half-filling drives amplitude-modulated PDW order via finite-momentum electron-Majorana condensation, we analyze the fluctuation-dominated regime above that phase using a nonlinear sigma model. We find that the order-parameter propagator develops a ring of soft modes throughout the disordered phase, and that at the smallest temperatures the resulting resistivity in three dimensions.
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