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  Optically-induced Umklapp shift currents in striped cuprates

Dolgirev, P. E., Michael, M. H., Curtis, J. B., Parker, D. E., Nicoletti, D., Buzzi, M., et al. (2022). Optically-induced Umklapp shift currents in striped cuprates.

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2203.04687.pdf (Preprint), 2MB
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https://arxiv.org/abs/2203.04687 (Preprint)
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 Creators:
Dolgirev, P. E.1, Author
Michael, M. H.1, Author
Curtis, J. B.1, 2, Author
Parker, D. E.1, Author
Nicoletti, D.3, Author              
Buzzi, M.3, Author              
Fechner, M.3, Author              
Cavalleri, A.3, 4, Author              
Demler, E.5, Author
Affiliations:
1Department of Physics, Harvard University, Cambridge, ou_persistent22              
2John A. Paulson School of Engineering and Applied Sciences, Harvard University, Cambridge, ou_persistent22              
3Quantum Condensed Matter Dynamics, Condensed Matter Dynamics Department, Max Planck Institute for the Structure and Dynamics of Matter, Max Planck Society, ou_1938293              
4Clarendon Laboratory, University of Oxford, ou_persistent22              
5Institute for Theoretical Physics, ETH Zurich, ou_persistent22              

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Free keywords: Condensed Matter, Strongly Correlated Electrons, cond-mat.str-el
 Abstract: Motivated by recent experiments that observed low-frequency second-order optical responses in doped striped superconductors, here we investigate the nonlinear electrodynamics of systems exhibiting a charge density wave (CDW) order parameter. Due to the Bragg scattering off the CDW order, an incoming spatially homogeneous electric field in addition to zero momentum current generates Umklapp currents that are modulated in space at momenta of the reciprocal CDW lattice. In particular, here we predict and microscopically evaluate the Umklapp shift current, a finite momentum analog of the regular shift current which represents the second-order optical process that downconverts homogeneous AC electric field into low-frequency, zero momentum current. Specifically, we evaluate real-time response functions within mean-field theory via the Keldysh technique and use the Peierls substitution to compute observables at finite momenta in lattice models. We find that systems with certain lattice symmetries (such as inversion symmetry), where the regular shift current is disallowed, may give rise to the Umklapp one. We apply our framework to investigate lattice symmetries in layered materials with helical-like stripes and show that both types of shift currents provide insight into the nature of intertwined phases of matter. Finally, we discuss the relation of our findings to recent experiments in striped superconductors.

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 Dates: 2022-05-05
 Publication Status: Published online
 Pages: 14
 Publishing info: -
 Table of Contents: -
 Rev. Type: No review
 Identifiers: arXiv: 2203.04687
 Degree: -

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