Optical conductivity from pair density waves
Name
PhysRevB.95.014506.pdf
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253.85 KB
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Adobe PDF
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Author(s)
Dai, Zhehao
Lee, Patrick A
Date Issued
January 2017
Journal
Physical Review B
Publisher
American Physical Society
Citation
Dai, Zhehao, and Patrick A. Lee. “Optical Conductivity from Pair Density Waves.” Physical Review B 95.1 (2017): n. pag. © 2017 American Physical Society
Version
Final published version
Abstract
We present a theory of optical conductivity in systems with finite-momentum Cooper pairs. In contrast to the BCS pairing where ac conductivity is purely imaginary in the clean limit, there is nonzero ac absorption across the superconducting gap for finite-momentum pairing if we break the Galilean symmetry explicitly in the electronic Hamiltonian. Vertex correction is crucial for maintaining the gauge invariance in the mean-field formalism and dramatically changes the optical conductivity in the direction of the pairing momentum. We carried out a self-consistent calculation and gave an explicit formula for optical conductivity in a simple case. This result applies to the Fulde-Ferrell-Larkin-Ovchinnikov state and candidates with pair density waves proposed for high-T_{c} cuprates. It may help detect pair density waves and determine the pairing gap as well as the direction of the pairing momentum in experiments.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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DOI of Published Version
https://doi.org/10.1103/PhysRevB.95.014506
