- Letter
- Open Access
Terahertz phase slips in striped
Phys. Rev. B 105, L020502 – Published 18 January, 2022
DOI: https://doi.org/10.1103/PhysRevB.105.L020502
Abstract
Interlayer transport in high- cuprates is mediated by superconducting tunneling across the planes. For this reason, the terahertz frequency optical response is dominated by one or more Josephson plasma resonances and becomes highly nonlinear at fields for which the tunneling supercurrents approach their critical value . These large terahertz nonlinearities are in fact a hallmark of superconducting transport. Surprisingly, however, they have been documented in (LBCO) also above for doping values near and interpreted as an indication of superfluidity in the stripe phase. Here, electric-field-induced second harmonic is used to study the dynamics of time-dependent interlayer voltages when LBCO is driven with large-amplitude terahertz pulses, in search of other characteristic signatures of Josephson tunneling in the normal state. We show that this method is sensitive to the voltage anomalies associated with 2π Josephson phase slips, which near are observed both below and above . These results document a regime of nonlinear transport that shares features of fluctuating stripes and superconducting phase dynamics.
Physics Subject Headings (PhySH)
Article Text
Supplemental Material
References (37)
- W. E. Lawrence and S. Doniach, in Proceedings of the Twelfth International Conference on Low Temperature Physics, edited by E. Kanda (Tokyo Keigaku Publishing, Kyoto, 1971), pp. 361–362.
- R. Kleiner, F. Steinmeyer, G. Kunkel, and P. Müller, Intrinsic Josephson Effects in Single Crystals, Phys. Rev. Lett. 68, 2394 (1992).
- O. K. C. Tsui, N. P. Ong, Y. Matsuda, Y. F. Yan, and J. B. Peterson, Sharp Magnetoabsorption Resonances in the Vortex State of , Phys. Rev. Lett. 73, 724 (1994).
- Y. Matsuda, M. B. Gaifullin, K. Kumagai, K. Kadowaki, and T. Mochiku, Collective Josephson Plasma Resonance in the Vortex State of , Phys. Rev. Lett. 75, 4512 (1995).
- O. K. C. Tsui, N. P. Ong, and J. B. Peterson, Excitation of the Josephson Plasma Mode in in an Oblique Field, Phys. Rev. Lett. 76, 819 (1996).
- K. Tamasaku, Y. Nakamura, and S. Uchida, Charge Dynamics across the Planes in , Phys. Rev. Lett. 69, 1455 (1992).
- S. Savel'ev, A. L. Rakhmanov, V. A. Yampol'skii, and F. Nori, Analogues of nonlinear optics using terahertz Josephson plasma waves in layered superconductors, Nature Phys. 2, 521 (2006).
- S. Savel'ev, V. A. Yampol'skii, A. L. Rakhmanov, and F. Nori, Terahertz Josephson plasma waves in layered superconductors: spectrum, generation, nonlinear and quantum phenomena, Rep. Prog. Phys. 73, 026501 (2010).
- Y. Laplace and A. Cavalleri, Josephson plasmonics in layered superconductors, Adv. Phys.: X 1, 387 (2016).
- M. Tinkham, Introduction to Superconductivity (McGraw-Hill, New York, 1996).
- D. Stornaiuolo, G. Rotoli, D. Massarotti, F. Carillo, L. Longobardi, F. Beltram, and F. Tafuri, Resolving the effects of frequency dependent damping and quantum phase diffusion in Josephson junctions, Phys. Rev. B 87, 134517 (2013).
- A. Barone and G. Paternò, Physics and Applications of Josephson Effect (Wiley, New York, 1982).
- M. H. Devoret, J. M. Martinis, and J. Clarke, Measurements of Macroscopic Quantum Tunneling out of the Zero-Voltage State of a Current-Biased Josephson Junction, Phys. Rev. Lett. 55, 1908 (1985).
- X. Hu and S. Z. Lin, Phase dynamics in a stack of inductively coupled intrinsic Josephson junctions and terahertz electromagnetic radiation, Supercond. Sci. Technol. 23, 053001 (2010).
- See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevB.105.L020502 for simulation of the Josephson phase dynamics with the sine-Gordon equation, experimental methods, and additional datasets, which includes Refs. [18, 19, 26, 27, 29, 36, 37].
- A. Dienst, M. C. Hoffmann, D. Fausti, J. C. Petersen, S. Pyon, T. Takayama, H. Takagi, and A. Cavalleri, Bi-directional ultrafast electric-field gating of interlayer charge transport in a cuprate superconductor, Nat. Photon. 5, 485 (2011).
- A. Dienst, E. Casandruc, D. Fausti, L. Zhang, M. Eckstein, M. Hoffmann, V. Khanna, N. Dean, M. Gensch, S. Winnerl, W. Seidel, S. Pyon, T. Takayama, H. Takagi, and A. Cavalleri, Optical excitation of Josephson plasma solitons in a cuprate superconductor, Nat. Mater. 12, 535 (2013).
- S. Rajasekaran, E. Casandruc, Y. Laplace, D. Nicoletti, G. D. Gu, S. R. Clark, D. Jaksch, and A. Cavalleri, Parametric amplification of a superconducting plasma wave, Nat. Phys. 12, 1012 (2016).
- S. Rajasekaran, J. Okamoto, L. Mathey, M. Fechner, V. Thampy, G. D. Gu, and A. Cavalleri, Probing optically silent superfluid stripes in cuprates, Science 359, 575 (2018).
- M. Hücker, M. v. Zimmermann, G. D. Gu, Z. J. Xu, J. S. Wen, G. Xu, H. J. Kang, A. Zheludev, and J. M. Tranquada, Stripe order in superconducting , Phys. Rev. B 83, 104506 (2011).
- J. M. Tranquada, B. J. Sternlieb, J. D. Axe, Y. Nakamura, and S. Uchida, Evidence for stripe correlations of spins and holes in copper oxide superconductors, Nature (London) 375, 561 (1995).
- Q. Li, M. Hücker, G. D. Gu, A. M. Tsvelik, and J. M. Tranquada, Two-Dimensional Superconducting Fluctuations in Stripe-Ordered , Phys. Rev. Lett. 99, 067001 (2007).
- E. Berg, E. Fradkin, E.-A. Kim, S. A. Kivelson, V. Oganesyan, J. M. Tranquada, and S. C. Zhang, Dynamical Layer Decoupling in a Stripe-Ordered High- Superconductor, Phys. Rev. Lett. 99, 127003 (2007).
- E. Berg, E. Fradkin, S. A. Kivelson, and J. M. Tranquada, Striped superconductors: how spin, charge and superconducting orders intertwine in the cuprates, New J. Phys. 11, 115004 (2009).
- D. F. Agterberg, J. C. Séamus Davis, S. D. Edkins, E. Fradkin, D. J. Van Harlingen, S. A. Kivelson, P. A. Lee, L. Radzihovsky, J. M. Tranquada, and Y. Wang, The physics of pair-density waves: cuprate superconductors and beyond, Annu. Rev. Condens. Matter Phys. 11, 231 (2020).
- J. Hebling, K.-L. Yeh, M. C. Hoffmann, B. Bartal, and K. A. Nelson, Generation of high-power terahertz pulses by tilted-pulse-front excitation and their application possibilities, J. Opt. Soc. Am. B 25, B6 (2008).
- M. Fiebig, V. V. Pavlov, and R. V. Pisarev, Second-harmonic generation as a tool for studying electronic and magnetic structures of crystals: review, J. Opt. Soc. Am. B 22, 96 (2005).
- A. von Hoegen, M. Fechner, M. Först, N. Taherian, E. Rowe, A. Riback, J. Porras, B. Keimer, M. Michael, E. Demler, and A. Cavalleri, Parametrically amplified phase-incoherent superconductivity in , arXiv:1911.08284 (2019).
- C. C. Homes, M. Hücker, Q. Li, Z. J. Xu, J. S. Wen, G. D. Gu, and J. M. Tranquada, Determination of the optical properties of for several dopings, including the anomalous phase, Phys. Rev. B 85, 134510 (2012).
- G. Ghiringhelli, M. Le Tacon, M. Minola, S. Blanco-Canosa, C. Mazzoli, N. B. Brookes, G. M. De Luca, A. Frano, D. G. Hawthorn, F. He, T. Loew, M. Moretti Sala, D. C. Peets, M. Salluzzo, E. Schierle, R. Sutarto, G. A. Sawatzky, E. Weschke, B. Keimer, and L. Braicovich, Long-range incommensurate charge fluctuations in , Science 337, 821 (2012).
- J. Chang, E. Blackburn, A. T. Holmes, N. B. Christensen, J. Larsen, J. Mesot, Ruixing Liang, D. A. Bonn, W. N. Hardy, A. Watenphul, M. v. Zimmermann, E. M. Forgan, and S. M. Hayden, Direct observation of competition between superconductivity and charge density wave order in , Nat. Phys. 8, 871 (2012).
- J. Corson, R. Mallozzi, J. Orenstein, J. N. Eckstein, and I. Bozovic, Vanishing of phase coherence in underdoped , Nature (London) 398, 221 (1999).
- L. S. Bilbro, R. Valdés Aguilar, G. Logvenov, O. Pelleg, I. Bozović, and N. P. Armitage, Temporal correlations of superconductivity above the transition temperature in probed by terahertz spectroscopy, Nat. Phys. 7, 298 (2011).
- K. Fujita, M. H. Hamidian, S. D. Edkins, C. K. Kim, Y. Kohsaka, M. Azuma, M. Takano, H. Takagi, H. Eisaki, S. Uchida, A. Allais, M. J. Lawler, E.-A. Kim, S. Sachdev, and J. C. Séamus Davis, Direct phase-sensitive identification of a -form factor density wave in underdoped cuprates, Proc. Natl. Acad. Sci. USA 111, E3026 (2014).
- P. A. Lee, Amperean Pairing and the Pseudogap Phase of Cuprate Superconductors, Phys. Rev. X 4, 031017 (2014).
- D. Nicoletti, E. Casandruc, Y. Laplace, V. Khanna, C. R. Hunt, S. Kaiser, S. S. Dhesi, G. D. Gu, J. P. Hill, and A. Cavalleri, Optically-induced superconductivity in striped by polarization-selective excitation in the near infrared, Phys. Rev. B 90, 100503(R) (2014).
- D. Nicoletti, D. Fu, O. Mehio, S. Moore, A. S. Disa, G. D. Gu, and A. Cavalleri, Magnetic-Field Tuning of Light-Induced Superconductivity in Striped , Phys. Rev. Lett. 121, 267003 (2018).