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Singularity of the London Penetration Depth at Quantum Critical Points in Superconductors

Debanjan Chowdhury, Brian Swingle, Erez Berg, Subir Sachdev

DOI 10.1103/PhysRevLett.111.157004 · Physical Review Letters

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Abstract

We present a general theory of the singularity in the London penetration depth at symmetry-breaking and topological quantum critical points within a superconducting phase. While the critical exponents and ratios of amplitudes on the two sides of the transition are universal, an overall sign depends upon the interplay between the critical theory and the underlying Fermi surface. We determine these features for critical points to spin density wave and nematic ordering, and for a topological transition between a superconductor with Z2 fractionalization and a conventional superconductor. We note implications for recent measurements of the London penetration depth in BaFe2(As1−xPx)2 [K. Hashimoto et al., Science 336, 1554 (2012)].

Source-reported materials — not catalogue approval

FormulaReported Tc (K)Pressure (GPa)Type
BaFe2(As1-xPx)2

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—Pressure not reportedunknown
CeCu2(Si1-xGex)2

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Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula.

—Pressure not reportedunknown

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