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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. (2024). Optically induced umklapp shift currents in striped cuprates. Physical Review B, 109(4): 045150. doi:10.1103/PhysRevB.109.045150.

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2024
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© the Author(s). Published by the American Physical Society

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https://arxiv.org/abs/2203.04687 (Preprint)
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https://doi.org/10.1103/PhysRevB.109.045150 (Publisher version)
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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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 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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Language(s): eng - English
 Dates: 2023-12-202022-05-102023-12-212024-01-302024-01-15
 Publication Status: Issued
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: arXiv: 2203.04687
DOI: 10.1103/PhysRevB.109.045150
 Degree: -

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Grant ID : 319286
Funding program : Funding Programme 7 (FP7)
Funding organization : European Commission (EC)
Project name : The authors would like to thank M. D. Lukin, M. Mitrano, P. I. Arseev, A. Zong, I. Esterlis, and A. Radkevich for fruitful discussions. P.E.D., M.H.M., and E.D. were supported by AFOSR-MURI: Photonic Quantum Matter Award No. FA95501610323, DARPA DRINQS, and the ARO grant “Control of Many-Body States Using Strong Coherent Light-Matter Coupling in Terahertz Cavities.” This research is funded in part by the Gordon and Betty Moore Foundation's EPiQS Initiative, Grant No. GBMF8683 to D.E.P. J.B.C. is supported by the Quantum Science Center (QSC), a National Quantum Information Science Research Center of the U.S. Department of Energy (DOE), by the ARO grant “Control of Many-Body States Using Strong Coherent Light-Matter Coupling in Terahertz Cavities,” and by the Harvard Quantum Initiative. J.B.C. also acknowledges hospitality from the Max Planck Institute for Structure and Dynamics of Matter (MPSD, Hamburg), and ETH Zürich Institute for Theoretical Physics. D.N., M.B., M.F., and A.C. were supported by the European Research Council under the European Union's Seventh Framework Programme (FP7/2007-2013)/ERC Grant Agreement No. 319286 (QMAC) and the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) via the excellence cluster “The Hamburg Centre for Ultrafast Imaging” (EXC 1074, Project ID 194651731), and the priority program SFB925 (Project ID 170620586).
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Source 1

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Title: Physical Review B
  Abbreviation : Phys. Rev. B
Source Genre: Journal
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Publ. Info: Woodbury, NY : American Physical Society
Pages: - Volume / Issue: 109 (4) Sequence Number: 045150 Start / End Page: - Identifier: ISSN: 1098-0121
CoNE: https://pure.mpg.de/cone/journals/resource/954925225008