Publication: Spectral function of a localized fermion coupled to the Wilson-Fisher conformal field theory
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Date
2014
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American Physical Society (APS)
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Allais, Andrea, and Subir Sachdev. 2014. “Spectral Function of a Localized Fermion Coupled to the Wilson-Fisher Conformal Field Theory.” Phys. Rev. B 90 (3) (July). doi:10.1103/physrevb.90.035131.
Abstract
We describe the dynamics of a single fermion in a dispersionless band coupled to the 2+1 dimensional conformal field theory (CFT) describing the quantum phase transition of a bosonic order parameter with N components. The fermionic spectral functions are expected to apply to the vicinity of quantum critical points in two-dimensional metals over an intermediate temperature regime where the Landau damping of the order parameter can be neglected. Some of our results are obtained by a mapping to an auxiliary problem of a CFT containing a defect line with an external field which locally breaks the global O(N) symmetry.
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