Reuse & Permissions

It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 4.0 International license. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.

Export citation

Export citation

Choose format for download:

Download Citation
  • Open Access

Generalizable density functional theory based photoemission model for the accelerated development of photocathodes and other photoemissive devices

Evan R. Antoniuk1, Yumeng Yue2, Yao Zhou3, Peter Schindler2, W. Andreas Schroeder4, Bruce Dunham5, Piero Pianetta5, Theodore Vecchione5, and Evan J. Reed2

  • 1Department of Chemistry, Stanford University, Stanford, California 94305, USA
  • 2Department of Materials Science and Engineering, Stanford University, Stanford, California 94305, USA
  • 3Google, Mountain View, California 94043, USA
  • 4Department of Physics, University of Illinois at Chicago, Chicago, Illinois 60607, USA
  • 5SLAC, Menlo Park, California 94025, USA

Phys. Rev. B 101, 235447 – Published 29 June, 2020

DOI: https://doi.org/10.1103/PhysRevB.101.235447

Abstract

In this work, we have developed an ab initio photoemission model that accurately describes the photoemission process for the most diverse range of photocathode materials to date. Compared to previous photoemission models, this is accomplished by considerably reducing the number of approximations and assumptions used in representing the photoemission process and the photoemitting material itself. Notably, our model directly includes the full electronic structure of the material, photoexcitation probabilities for all direct optical transitions, and an improved surface-vacuum barrier transmission probability. To test the performance of our model, we perform validations with experimental measurements for all photocathode materials studied in this work. Whereas previous models have often qualitatively disagreed with the measured photoemission properties of some materials, our model is found to provide quantitative agreement with experimental measurements for all tested materials. As an example, our method predicts the root-mean-square transverse momentum of electrons emitted from PbTe up to an excess energy of 1.0 eV with a mean absolute error that is ∼5× less than from previously derived expressions. Perhaps more importantly, our model is able to match experimentally observed decreases in intrinsic emittance with increasing photon energy—a feat that current analytical models are unable to achieve. We expect that the broad applicability of our model will greatly accelerate the rate of discovery, characterization, and scientific understanding of photocathodes and other photonic devices.

View figure in article

Physics Subject Headings (PhySH)

Article Text

Supplemental Material

References (40)

  1. E. Agrell, M. Karlsson, A. R. Chraplyvy, D. J. Richardson, P. M. Krummrich, P. Winzer, K. Roberts, J. K. Fischer, S. J. Savory, B. J. Eggleton, M. Secondini, F. R. Kschischang, A. Lord, J. Prat, I. Tomkos, J. E. Bowers, S. Srinivasan, M. Brandt-Pearce, and N. Gisin, Roadmap of optical communications, J. Opt. 18, 063002 (2016).
  2. F. P. García de Arquer, A. Armin, P. Meredith, and E. H. Sargent, Solution-processed semiconductors for next-generation photodetectors, Nat. Rev. Mater. 2, 16100 (2017).
  3. F. H. L. Koppens, T. Mueller, P. Avouris, A. C. Ferrari, M. S. Vitiello, and M. Polini, Photodetectors Based on Graphene, Other Two-Dimensional Materials and Hybrid Systems, Nat. Nanotechnol. 9, 780 (2014).
  4. M. W. Mara, R. G. Hadt, M. E. Reinhard, T. Kroll, H. Lim, R. W. Hartsock, R. Alonso-Mori, M. Chollet, J. M. Glownia, S. Nelson, D. Sokaras, K. Kunnus, K. O. Hodgson, B. Hedman, U. Bergmann, K. J. Gaffney, and E. I. Solomon, Metalloprotein entatic control of ligand-metal bonds quantified by ultrafast x-ray spectroscopy, Science 356, 1276 (2017).
  5. E. M. Mannebach, C. Nyby, F. Ernst, Y. Zhou, J. Tolsma, Y. Li, M.-J. Sher, I.-C. Tung, H. Zhou, Q. Zhang, K. L. Seyler, G. Clark, Y. Lin, D. Zhu, J. M. Glownia, M. E. Kozina, S. Song, S. Nelson, A. Mehta, Y. Yu et al., Dynamic Optical Tuning of Interlayer Interactions in the Transition Metal Dichalcogenides, Nano Lett. 17, 7761 (2017).
  6. D. Kraus, J. Vorberger, A. Pak, N. J. Hartley, L. B. Fletcher, S. Frydrych, E. Galtier, E. J. Gamboa, D. O. Gericke, S. H. Glenzer, E. Granados, M. J. MacDonald, A. J. MacKinnon, E. E. McBride, I. Nam, P. Neumayer, M. Roth, A. M. Saunders, A. K. Schuster, P. Sun, T. van Driel, T. Döppner, and R. W. Falcone, Formation of diamonds in laser-compressed hydrocarbons at planetary interior conditions, Nat. Astron. 1, 606 (2017).
  7. R. Schoenlein, T. Elsaesser, K. Holldack, Z. Huang, H. Kapteyn, M. Murnane, and M. Woerner, Recent advances in ultrafast X-ray sources, Philos. Trans. R. Soc. Math. Phys. Eng. Sci. 377, 20180384 (2019).
  8. D. H. Dowell, I. Bazarov, B. Dunham, K. Harkay, C. Hernandez-Garcia, R. Legg, H. Padmore, T. Rao, J. Smedley, and W. Wan, Cathode R&D for future light sources, Nucl. Instrum. Methods Phys. Res. Sect. Accel. Spectrometers Detect. Assoc. Equip. 622, 685 (2010).
  9. M. Xie, Design optimization for an x-ray free electron laser driven by SLAC linac, in Proceedings of Particle Accelerator Conference, Dallas, Texas (1995), pp. 183–185.
  10. J. K. Nangoi, T. Arias, S. Karkare, H. Padmore, and W. A. Schroeder, The role of electron-phonon scattering in transverse momentum conservation in PbTe(111) photocathodes, in IPAC 2018, Vancouver, Canada, (JACOW, Geneva, Switzerland, 2018 ), pp. 1414–1416.
  11. L. Cultrera, I. Bazarov, A. Bartnik, B. Dunham, S. Karkare, R. Merluzzi, and M. Nichols, Thermal emittance and response time of a cesium antimonide photocathode, Appl. Phys. Lett. 99, 152110 (2011).
  12. W. E. Spicer, Photoemissive, Photoconductive, and Optical Absorption Studies of Alkali-Antimony Compounds, Phys. Rev. 112, 114 (1958).
  13. D. H. Dowell and J. F. Schmerge, Quantum efficiency and thermal emittance of metal photocathodes, Phys. Rev. Spec. Top. - Accel. Beams 12, 074201 (2009).
  14. T. Vecchione and D. Dowell, Quantum efficiency and transverse momentum from metals, Proceedings of FEL2013, (New York, 2013).
  15. I. Bazarov, L. Cultrera, A. Bartnik, B. Dunham, S. Karkare, Y. Li, X. Liu, J. Maxson, and W. Roussel, Thermal emittance measurements of a cesium potassium antimonide photocathode, Appl. Phys. Lett. 98, 224101 (2011).
  16. T. Vecchione, Simulating Single Crystal Copper Photocathode Emittance, in Proceedings of FEL ’15, Daejeon, Republic of Korea, (JACOW, Geneva, Switzerland, 2015), pp. 587–591.
  17. C. P. Hauri, R. Ganter, F. Le Pimpec, A. Trisorio, C. Ruchert, and H. H. Braun, Intrinsic Emittance Reduction of an Electron Beam from Metal Photocathodes, Phys. Rev. Lett. 104, 234802 (2010).
  18. T. Li and W. A. Schroeder, arXiv:1704.00194.
  19. P. Hohenberg and W. Kohn, Inhomogeneous Electron Gas, Phys. Rev. 136, B864 (1964).
  20. W. Kohn and L. J. Sham, Self-Consistent Equations Including Exchange and Correlation Effects, Phys. Rev. 140, A1133 (1965).
  21. M. Gajdoš, K. Hummer, G. Kresse, J. Furthmüller, and F. Bechstedt, Linear optical properties in the projector-augmented wave methodology, Phys. Rev. B 73, 045112 (2006).
  22. See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevB.101.235447 for video illustrating the photon energy dependence on the calculated intrinsic emittance of PbTe(111).
  23. G. Kresse and J. Furthmüller, Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set, Phys. Rev. B 54, 11169 (1996).
  24. P. E. Blöchl, Projector augmented-wave method, Phys. Rev. B 50, 17953 (1994).
  25. A. Jain, S. P. Ong, G. Hautier, W. Chen, W. D. Richards, S. Dacek, S. Cholia, D. Gunter, D. Skinner, G. Ceder, and K. A. Persson, Commentary: The Materials Project: A materials genome approach to accelerating materials innovation, APL Mater. 1, 011002 (2013).
  26. J. P. Perdew, K. Burke, and M. Ernzerhof, Generalized Gradient Approximation Made Simple, Phys. Rev. Lett. 77, 3865 (1996).
  27. C. Cocchi, S. Mistry, M. Schmeißer, J. Kuhn, and T. Kamps, First-principles many-body study of the electronic and optical properties of CsK2 Sb, a semiconducting material for ultra-bright electron sources, J. Phys.: Condens. Matter 31, 014002 (2018).
  28. C. Cocchi, S. Mistry, M. Schmeißer, R. Amador, J. Kuhn, and T. Kamps, Electronic structure and core electron fingerprints of caesium-based multi-alkali antimonides for ultra-bright electron sources, Sci. Rep. 9, 18276 (2019).
  29. R. N. Tauber, A. A. Machonis, and I. B. Cadoff, Thermal and Optical Energy Gaps in PbTe, J. Appl. Phys. 37, 4855 (1966).
  30. A. Goyal, P. Gorai, E. S. Toberer, and V. Stevanović, First-principles calculation of intrinsic defect chemistry and self-doping in PbTe, Npj Comput. Mater. 3, 42 (2017).
  31. R. Dalven, Energy-Gap Anomaly in the Semiconductor Sequence PbS, PbSe, and PbTe, Phys. Rev. B 3, 3359 (1971).
  32. S. Karkare, G. Adhikari, H. Padmore, T. Vecchione, and W. A. Schroeder, <10meV MTE from Cu, in Photocathode Physics for Photoinjectors (P3) 2018 Workshop, Santa Fe, New Mexico.
  33. W. A. Schroeder and G. Adhikari, Band Structure Interpretation of Mo(100) and W(100) Spectral Emission Properties, in Photocathode Physics for Photoinjectors (P3) 2018 Workshop, Santa Fe, New Mexico.
  34. D. E. Eastman, Photoelectric Work Functions of Transition, Rare-Earth, and Noble Metals, Phys. Rev. B 2, 1 (1970).
  35. M. G. Helander, M. T. Greiner, Z. B. Wang, and Z. H. Lu, Pitfalls in measuring work function using photoelectron spectroscopy, Appl. Surf. Sci. 256, 2602 (2010).
  36. S. De Waele, K. Lejaeghere, M. Sluydts, and S. Cottenier, Error estimates for density-functional theory predictions of surface energy and work function, Phys. Rev. B 94, 235418 (2016).
  37. K. Choudhary, Q. Zhang, A. C. E. Reid, S. Chowdhury, N. Van Nguyen, Z. Trautt, M. W. Newrock, F. Y. Congo, and F. Tavazza, Computational Screening of High-Performance Optoelectronic Materials Using OptB88vdW and TB-mBJ Formalisms, Sci. Data 5, 180082 (2018).
  38. W. E. Spicer and A. Herrera-Gomez, Modern theory and applications of photocathodes, Proc. SPIE 2022, 18 (1993).
  39. B. Camino, T. C. Q. Noakes, M. Surman, E. A. Seddon, and N. M. Harrison, Photoemission simulation for photocathode design: theory and application to copper and silver surfaces, Comput. Mater. Sci. 122, 331 (2016).
  40. G. Adhikari, P. Riley, and W. A. Schroeder, Spectral characterization of a Rh(110) photocathode: Band structure interpretation, AIP Adv. 9, 065305 (2019).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation