Spectral function of a localized fermion coupled to the Wilson-Fisher conformal field theory

Andrea Allais and Subir Sachdev
Phys. Rev. B 90, 035131 – Published 25 July 2014

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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  • Received 18 June 2014

DOI:https://doi.org/10.1103/PhysRevB.90.035131

©2014 American Physical Society

Authors & Affiliations

Andrea Allais1 and Subir Sachdev1,2

  • 1Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA
  • 2Perimeter Institute for Theoretical Physics, Waterloo, Ontario N2L 2Y5, Canada

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Issue

Vol. 90, Iss. 3 — 15 July 2014

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