Person: Swingle, Brian
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Swingle
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Brian
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Swingle, Brian
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Publication Singularity of the London Penetration Depth at Quantum Critical Points in Superconductors(American Physical Society (APS), 2013) Chowdhury, Debanjan; Swingle, Brian; Berg, Erez; Sachdev, SubirWe 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)].Publication Hidden Fermi Surfaces in Compressible States of Gauge-Gravity Duality(American Physical Society, 2012) Huijse, Liza; Sachdev, Subir; Swingle, BrianGeneral scaling arguments, and the behavior of the thermal entropy density, are shown to lead to an infrared metric holographically representing a compressible state with hidden Fermi surfaces. This metric is characterized by a general dynamic critical exponent, \(z\), and a specific hyperscaling violation exponent, \(\theta\). The same metric exhibits a logarithmic violation of the area law of entanglement entropy, as shown recently by Ogawa et al. [e-print arXiv:1111.1023 (unpublished)]. We study the dependence of the entanglement entropy on the shape of the entangling region(s), on the total charge density, on temperature, and on the presence of additional visible Fermi surfaces of gauge-neutral fermions; for the latter computations, we realize the needed metric in an Einstein-Maxwell-dilaton theory. All our results support the proposal that the holographic theory describes a metallic state with hidden Fermi surfaces of fermions carrying gauge charges of deconfined gauge fields.