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  • Letter
  • Open Access

Fast spectroscopic mapping of two-dimensional quantum materials

Berk Zengin1, Jens Oppliger1, Danyang Liu1, Lorena Niggli1, Tohru Kurosawa2, and Fabian D. Natterer1,*

  • 1Department of Physics, University of Zurich, Winterthurerstrasse 190, 8057 Zurich, Switzerland
  • 2Department of Physics, Hokkaido University, Sapporo 060-0810, Japan

  • *Correspondence to: fabian.natterer@uzh.ch
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Phys. Rev. Research 3, L042025 – Published 10 November, 2021

DOI: https://doi.org/10.1103/PhysRevResearch.3.L042025

Abstract

The discovery of quantum materials entails extensive spectroscopic studies that are carried out against multitudes of degrees of freedom, such as magnetic field, location, temperature, or doping. As this traditionally involves two or more serial measurement tasks, spectroscopic mapping can become excruciatingly slow. We demonstrate orders of magnitude faster measurements through our combination of sparse sampling and parallel spectroscopy. We exemplify our concept using quasiparticle interference imaging of Au(111) and Bi2Sr2CaCu2O8+δ (Bi2212), as two well-known model systems. Our method is accessible, straightforward to implement with existing setups, and can be easily extended to promote gate or field spectroscopy. In view of further substantial speed advantages, it is setting the stage to fundamentally promote the discovery of quantum materials.

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References (33)

  1. F. J. Dyson, Is science mostly driven by ideas or by tools? Science 338, 1426 (2012).
  2. F. Giustino, J. H. Lee, F. Trier, M. Bibes, S. M. Winter, R. Valentí, Y.-W. Son, L. Taillefer, C. Heil, A. I. Figueroa, B. Plaçais, Q. Wu, O. V. Yazyev, E. P. A. M. Bakkers, J. Nygård, P. Forn-Díaz, S. D. Franceschi, J. W. McIver, L. E. F. F. Torres, T. Low et al., The 2021 quantum materials roadmap, J. Phys. Mater. 3, 042006 (2021).
  3. G. Nunes and M. R. Freeman, Picosecond resolution in scanning tunneling microscopy, Science 262, 1029 (1993).
  4. X. H. Qiu, G. V. Nazin, and W. Ho, Vibrationally resolved fluorescence excited with submolecular precision, Science 299, 542 (2003).
  5. S. Baumann, W. Paul, T. Choi, C. P. Lutz, A. Ardavan, and A. J. Heinrich, Electron paramagnetic resonance of individual atoms on a surface, Science 350, 417 (2015).
  6. Y. Zhao, J. Wyrick, F. D. Natterer, J. F. Rodriguez-Nieva, C. Lewandowski, K. Watanabe, T. Taniguchi, L. S. Levitov, N. B. Zhitenev, and J. A. Stroscio, Creating and probing electron whispering-gallery modes in graphene, Science 348, 672 (2015).
  7. F. Ghahari, D. Walkup, C. Gutiérrez, J. F. Rodriguez-Nieva, Y. Zhao, J. Wyrick, F. D. Natterer, W. G. Cullen, K. Watanabe, T. Taniguchi, L. S. Levitov, N. B. Zhitenev, and J. A. Stroscio, An on/off Berry phase switch in circular graphene resonators, Science 356, 845 (2017).
  8. E. W. Hudson, S. H. Pan, A. K. Gupta, K.-W. Ng, and J. C. Davis, Atomic-scale quasi-particle scattering resonances in Bi2Sr2CaCu2O8+δ, Science 285, 88 (1999).
  9. L. Petersen, Ph. Hofmann, E. W. Plummer, and F. Besenbacher, Fourier transform–STM: Determining the surface fermi contour, J. Electron Spectrosc. Relat. Phenom. 109, 97 (2000).
  10. J. E. Hoffman, K. McElroy, D.-H. Lee, K. M. Lang, H. Eisaki, S. Uchida, and J. C. Davis, Imaging quasiparticle interference in Bi2Sr2CaCu2O8+δ, Science 297, 1148 (2002).
  11. J. E. Hoffman, E. W. Hudson, K. M. Lang, V. Madhavan, H. Eisaki, S. Uchida, and J. C. Davis, A four unit cell periodic pattern of quasi-particle states surrounding vortex cores in Bi2Sr2CaCu2O8+δ, Science 295, 466 (2002).
  12. M. J. Lawler, K. Fujita, J. Lee, A. R. Schmidt, Y. Kohsaka, C. K. Kim, H. Eisaki, S. Uchida, J. C. Davis, J. P. Sethna, and E.-A. Kim, Intra-unit-cell electronic nematicity of the high-Tc copper-oxide pseudogap states, Nature (London) 466, 347 (2010).
  13. S. Grothe, S. Johnston, S. Chi, P. Dosanjh, S. A. Burke, and Y. Pennec, Quantifying Many-Body Effects by High-Resolution Fourier Transform Scanning Tunneling Spectroscopy, Phys. Rev. Lett. 111, 246804 (2013).
  14. H. Inoue, A. Gyenis, Z. Wang, J. Li, S. W. Oh, S. Jiang, N. Ni, B. A. Bernevig, and A. Yazdani, Quasiparticle interference of the Fermi arcs and surface-bulk connectivity of a Weyl semimetal, Science 351, 1184 (2016).
  15. N. Morali, R. Batabyal, P. K. Nag, E. Liu, Q. Xu, Y. Sun, B. Yan, C. Felser, N. Avraham, and H. Beidenkopf, Fermi-arc diversity on surface terminations of the magnetic Weyl semimetal Co3Sn2S, Science 365, 1286 (2019).
  16. Y. Zhang, A. Mesaros, K. Fujita, S. D. Edkins, M. H. Hamidian, K. Ch'ng, H. Eisaki, S. Uchida, J. C. S. Davis, E. Khatami, and E.-A. Kim, Machine learning in electronic-quantum-matter imaging experiments, Nature (London) 570, 484 (2019).
  17. J. Oppliger and F. D. Natterer, Sparse sampling for fast quasiparticle-interference mapping, Phys. Rev. Res. 2, 023117 (2020).
  18. R. Borgani, M. Gilzad Kohan, A. Vomiero, and D. B. Haviland, Fast Multifrequency Measurement of Nonlinear Conductance, Phys. Rev. Appl. 11, 044062 (2019).
  19. See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevResearch.3.L042025 for sample preparation, displacement current compensation, sparse-sampling matrices, additional spectroscopy information, and example of sparsely sampled gate map.
  20. F. D. Natterer, Waveform-sequencing for scanning tunneling microscopy based pump-probe spectroscopy and pulsed-ESR, MethodsX 6, 1279 (2019).
  21. E. J. Candès, J. K. Romberg, and T. Tao, Stable signal recovery from incomplete and inaccurate measurements, Commun. Pure Appl. Math. 59, 1207 (2006).
  22. D. L. Donoho, Compressed sensing, IEEE Trans. Inf. Theory. 52, 1289 (2006).
  23. Y. Nakanishi-Ohno, M. Haze, Y. Yoshida, K. Hukushima, Y. Hasegawa, and M. Okada, Compressed sensing in scanning tunneling microscopy/spectroscopy for observation of quasi-particle interference, J. Phys. Soc. Jpn. 85, 093702 (2016).
  24. Ch. Wöll, S. Chiang, R. J. Wilson, and P. H. Lippel, Determination of atom positions at stacking-fault dislocations on Au(111) by scanning tunneling microscopy, Phys. Rev. B 39, 7988 (1989).
  25. W. Chen, V. Madhavan, T. Jamneala, and M. F. Crommie, Scanning Tunneling Microscopy Observation of an Electronic Superlattice at the Surface of Clean Gold, Phys. Rev. Lett. 80, 1469 (1998).
  26. F. Reinert and G. Nicolay, Influence of the herringbone reconstruction on the surface electronic structure of Au(111), Appl. Phys. A 78, 817 (2004).
  27. J. Voit, L. Perfetti, F. Zwick, H. Berger, G. Margaritondo, G. Grüner, H. Höchst, and M. Grioni, Electronic structure of solids with competing periodic potentials, Science 290, 501 (2000).
  28. Y. Cao, V. Fatemi, S. Fang, K. Watanabe, T. Taniguchi, E. Kaxiras, and P. Jarillo-Herrero, Unconventional superconductivity in magic-angle graphene superlattices, Nature (London) 556, 43 (2018).
  29. Ch. Renner, B. Revaz, K. Kadowaki, I. Maggio-Aprile, and Ø. Fischer, Observation of the Low Temperature Pseudogap in the Vortex Cores of Bi2Sr2CaCu2O8+δ, Phys. Rev. Lett. 80, 3606 (1998).
  30. S. H. Pan, E. W. Hudson, A. K. Gupta, K.-W. Ng, H. Eisaki, S. Uchida, and J. C. Davis, STM Studies of the Electronic Structure of Vortex Cores in Bi2Sr2CaCu2O8+δ, Phys. Rev. Lett. 85, 1536 (2000).
  31. K. McElroy, R. W. Simmonds, J. E. Hoffman, D.-H. Lee, J. Orenstein, H. Eisaki, S. Uchida, and J. C. Davis, Relating atomic-scale electronic phenomena to wave-like quasiparticle states in superconducting Bi2Sr2CaCu2O8+δ, Nature (London) 422, 592 (2003).
  32. H. Zhao, Z. Ren, B. Rachmilowitz, J. Schneeloch, R. Zhong, G. Gu, Z. Wang, and I. Zeljkovic, Charge-stripe crystal phase in an insulating cuprate, Nat. Mater. 18, 103 (2019).
  33. Q. Gu, S. Wan, Q. Tang, Z. Du, H. Yang, Q.-H. Wang, R. Zhong, J. Wen, G. D. Gu, and H.-H. Wen, Directly visualizing the sign change of d-wave superconducting gap in Bi2Sr2CaCu2O8+δ by phase-referenced quasiparticle interference, Nat. Commun. 10, 1603 (2019).

Outline

Information

Phys. Rev. Research 3, L042025– Published 10 November, 2021
  • Received 25 March 2021
  • Revised 19 June 2021
  • Accepted 20 October 2021
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

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