- Open Access
Cross-Process Interference in Single-Cycle Electron Emission from Metal Needle Tips
Phys. Rev. Lett. 136, 066904 – Published 12 February, 2026
DOI: https://doi.org/10.1103/n482-q85k
Abstract
Though interference from different emission channels enabled a deeper understanding of strong-field photoemission in atoms and molecules, it remained out of reach for solids. Here, we explore metal needle tips under single-cycle pulses via classical trajectories extended by quantum interference and numerical solution of the time-dependent Schrödinger equation. We find interference of direct and backscattered electrons with fringe pattern encoding subcycle information on birth times and near-field driven acceleration dynamics, opening routes for ultrafast solid-state metrology.
Physics Subject Headings (PhySH)
Article Text
Supplemental Material
References (34)
- F. Krausz and M. Ivanov, Rev. Mod. Phys. 81, 163 (2009).
- P. Dombi, Z. Pápa, J. Vogelsang, S. V. Yalunin, M. Sivis, G. Herink, S. Schäfer, P. Groß, C. Ropers, and C. Lienau, Rev. Mod. Phys. 92, 025003 (2020).
- M. Krüger, M. Schenk, M. Förster, and P. Hommelhoff, J. Phys. B 45, 074006 (2012).
- M. Krüger, C. Lemell, G. Wachter, J. Burgdörfer, and P. Hommelhoff, J. Phys. B 51, 172001 (2018).
- L. Seiffert, S. Zherebtsov, M. F. Kling, and T. Fennel, Adv. Phys. X 7, 2010595 (2022).
- P. B. Corkum, Phys. Rev. Lett. 71, 1994 (1993).
- J. L. Krause, K. J. Schafer, and K. C. Kulander, Phys. Rev. Lett. 68, 3535 (1992).
- K. J. Schafer, B. Yang, L. F. DiMauro, and K. C. Kulander, Phys. Rev. Lett. 70, 1599 (1993).
- G. G. Paulus, W. Becker, W. Nicklich, and H. Walther, J. Phys. B 27, L703 (1994).
- F. Lindner, M. G. Schätzel, H. Walther, A. Baltuška, E. Goulielmakis, F. Krausz, D. B. Milošević, D. Bauer, W. Becker, and G. G. Paulus, Phys. Rev. Lett. 95, 040401 (2005).
- D. G. Arbó, E. Persson, and J. Burgdörfer, Phys. Rev. A 74, 063407 (2006).
- D. G. Arbó, K. L. Ishikawa, K. Schiessl, E. Persson, and J. Burgdörfer, Phys. Rev. A 81, 021403 (2010).
- N. I. Shvetsov-Shilovski and M. Lein, Phys. Rev. A 97, 013411 (2018).
- R. Gopal, K. Simeonidis, R. Moshammer, T. Ergler, M. Dürr, M. Kurka, K.-U. Kühnel, S. Tschuch, C.-D. Schröter, D. Bauer, J. Ullrich, A. Rudenko, O. Herrwerth, T. Uphues, M. Schultze, E. Goulielmakis, M. Uiberacker, M. Lezius, and M. F. Kling, Phys. Rev. Lett. 103, 053001 (2009).
- T. Khurelbaatar, J. Heo, S. Yu, X. Lai, X. Liu, and D. E. Kim, Light Sci. Appl. 13, 108 (2024).
- Y. Huismans et al., Science 331, 61 (2011).
- M. T. Hassan, T. T. Luu, A. Moulet, O. Raskazovskaya, P. Zhokhov, M. Garg, N. Karpowicz, A. M. Zheltikov, V. Pervak, F. Krausz, and E. Goulielmakis, Nature (London) 530, 66 (2016).
- H. Y. Kim, M. Garg, S. Mandal, L. Seiffert, T. Fennel, and E. Goulielmakis, Nature (London) 613, 662 (2023).
- A. Moulet, J. B. Bertrand, T. Klostermann, A. Guggenmos, N. Karpowicz, and E. Goulielmakis, Science 357, 1134 (2017).
- G. Herink, D. R. Solli, M. Gulde, and C. Ropers, Nature (London) 483, 190 (2012).
- J. Heimerl, S. Meier, A. Herzig, F. L. Hoffmann, L. Seiffert, D. Lesko, S. Hillmann, S. Wittigschlager, T. Weitz, T. Fennel, and P. Hommelhoff, Nat. Phys. 21, 1893 (2025).
- F. Süßmann, L. Seiffert, S. Zherebtsov, V. Mondes, J. Stierle, M. Arbeiter, J. Plenge, P. Rupp, C. Peltz, A. Kessel, S. A. Trushin, B. Ahn, D. Kim, C. Graf, E. Rühl, M. F. Kling, and T. Fennel, Nat. Commun. 6, 7944 (2015).
- L. Seiffert, P. Henning, P. Rupp, S. Zherebtsov, P. Hommelhoff, M. F. Kling, and T. Fennel, J. Mod. Opt. 64, 1096 (2017).
- J. Schötz, L. Seiffert, A. Maliakkal, J. Blöchl, D. Zimin, P. Rosenberger, B. Bergues, P. Hommelhoff, F. Krausz, T. Fennel, and M. F. Kling, Nanophotonics 10, 3769 (2021).
- S. Zherebtsov, T. Fennel, J. Plenge, E. Antonsson, I. Znakovskaya, A. Wirth, O. Herrwerth, F. Süßmann, C. Peltz, I. Ahmad, S. A. Trushin, V. Pervak, S. Karsch, M. J. J. Vrakking, B. Langer, C. Graf, M. I. Stockman, F. Krausz, E. Rühl, and M. F. Kling, Nat. Phys. 7, 656 (2011).
- M. Krüger, M. Schenk, and P. Hommelhoff, Nature (London) 475, 78 (2011).
- B. Piglosiewicz, S. Schmidt, D. J. Park, J. Vogelsang, P. Groß, C. Manzoni, P. Farinello, G. Cerullo, and C. Lienau, Nat. Photonics 8, 37 (2014).
- P. Dienstbier, L. Seiffert, T. Paschen, A. Liehl, A. Leitenstorfer, T. Fennel, and P. Hommelhoff, Nature (London) 616, 702 (2023).
- L. Seiffert, T. Paschen, P. Hommelhoff, and T. Fennel, J. Phys. B 51, 134001 (2018).
- See Supplemental Material at http://link.aps.org/supplemental/10.1103/n482-q85k for more details on (1) the extraction of the effective phase and (2) the robustness of our models for different parameters, which includes Refs. [20,28,29].
- P. Dienstbier, Strong-field physics at nanoemitters in tailored complex light-fields, Ph.D. thesis, 2022.
- Y. Goldfarb, J. Schiff, and D. J. Tannor, J. Chem. Phys. 128, 164114 (2008).
- P. E. Grabowski, A Review of Wave Packet Molecular Dynamics (Springer, Cham, 2014), pp. 265–282, 10.1007/978-3-319-04912-0_10.
- A. Herzig, P. Hommelhoff, E. Goulielmakis, T. Fennel, and L. Seiffert, Dataset for Manuscript “Cross-process interference in single-cycle electron emission from metal needle tips” (2025), 10.18453/rosdok_id00005037.