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Yaji K, Kuroda K, Tsuda S, Komori F. Spin polarization of photoelectrons emitted from spin-orbit coupled surface states of Pb/Ge(111). Microscopy (Oxf) 2024; 73:439-445. [PMID: 38661285 PMCID: PMC11452749 DOI: 10.1093/jmicro/dfae021] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/22/2024] [Revised: 04/15/2024] [Accepted: 04/22/2024] [Indexed: 04/26/2024] Open
Abstract
We report that the spin vector of photoelectrons emitted from an atomic layer Pb grown on a germanium substrate [Pb/Ge(111)] can be controlled using an electric field of light. The spin polarization of photoelectrons excited by a linearly polarized light is precisely investigated by spin- and angle-resolved photoemission spectroscopy. The spin polarization of the photoelectrons observed in the mirror plane reverses between p- and s-polarized lights. Considering the dipole transition selection rule, the surface state of Pb/Ge(111) is represented by a linear combination of symmetric and asymmetric orbital components coupled with spins in mutually opposite directions. The spin direction of the photoelectrons is different from that of the initial state when the electric field vector of linearly polarized light deviates from p- or s-polarization conditions. The quantum interference in the photoexcitation process can determine the direction of the spin vector of photoelectrons.
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Affiliation(s)
- Koichiro Yaji
- Center for Basic Research on Materials, National Institute for Materials Science, 3-13 Sakura, Tsukuba, Ibaraki 305-0003, Japan
| | - Kenta Kuroda
- Graduate School of Advanced Science and Engineering, Hiroshima University, 1-3-1 Kagamiyama, Higashi-Hiroshima 739-8526, Japan
- International Institute for Sustainability with Knotted Chiral Meta Matter (WPI-SKCM2), Hiroshima University, 1-3-1 Kagamiyama, Higashi-Hiroshima 739-8526, Japan
| | - Shunsuke Tsuda
- Center for Basic Research on Materials, National Institute for Materials Science, 3-13 Sakura, Tsukuba, Ibaraki 305-0003, Japan
| | - Fumio Komori
- Center for Basic Research on Materials, National Institute for Materials Science, 3-13 Sakura, Tsukuba, Ibaraki 305-0003, Japan
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Ohtsubo Y, Muto H, Yaji K, Hatta S, Okuyama H, Aruga T. Structure determination of Pb/Ge(111)-β-(√3 × √3)R30° by dynamical low-energy electron diffraction analysis and first-principles calculation. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2011; 23:435001. [PMID: 21926457 DOI: 10.1088/0953-8984/23/43/435001] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/31/2023]
Abstract
We have determined the atomic structure of the Pb/Ge(111)-β-(√3 × √3)R30° surface, which was shown to exhibit a large Rashba spin splitting in a metallic surface state by dynamical low-energy electron diffraction analysis. The Pb coverage for the optimized atomic structure is 4/3 with one Pb atom located at every third H(3) site of the bulk-truncated Ge(111) surface and the other three near the T(1) sites but slightly displaced towards the T(4) sites. The determined atomic structure agrees well with the energetically optimized one obtained from the first-principles calculation. The calculation also revealed that the potential for the Pb atoms on the H(3) sites is very soft along the surface normal, suggesting that their vertical position is distributed within a range of about 0.2-0.3 Å. The previously proposed phase transition associated with the surface melting is discussed.
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Affiliation(s)
- Yoshiyuki Ohtsubo
- Department of Chemistry, Graduate School of Science, Kyoto University, Kyoto, Japan
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Sato Y, Chiang S, Bartelt NC. Spontaneous domain switching during phase separation of Pb on Ge(111). PHYSICAL REVIEW LETTERS 2007; 99:096103. [PMID: 17931022 DOI: 10.1103/physrevlett.99.096103] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/23/2007] [Indexed: 05/25/2023]
Abstract
Using low-energy electron microscopy (LEEM), we have discovered a novel phase separation mechanism for Pb on Ge(111). When the low Pb coverage (1 x 1) phase coexists with the high coverage beta phase, the surface consists of approximately 100 nm sized domains that spontaneously switch from one phase to the other. We argue this striking mechanism occurs because nanometer-scale domains can have density fluctuations comparable to the density difference between the two phases.
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Affiliation(s)
- Y Sato
- Department of Physics, University of California, Davis, California 95616, USA
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Reedijk MF, Arsic J, Kaminski D, Poodt P, Van Kessel JWM, Szweryn WJ, Knops H, Vlieg E. New (sqrt3 xsqrt 3)R30 degrees phase of Pb on Ge(111) and its consequence for the melting transition. PHYSICAL REVIEW LETTERS 2003; 90:056104. [PMID: 12633381 DOI: 10.1103/physrevlett.90.056104] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/17/2002] [Indexed: 05/24/2023]
Abstract
Depending on the preparation method, we find two different structures of the Pb/Ge(111) system at a nominal coverage of 4 / 3 monolayer that exhibit different melting points. One is the well studied beta phase that melts at 270 degrees C, but the other is a new and metastable phase that melts at 330 degrees C. Using surface x-ray diffraction the atomic structure of both phases is found to be surprisingly similar. The difference in melting points can be explained by the distribution of the excess Pb present on the surface, which has a direct effect on the vacancy density. We propose a modified phase diagram, in which the melting temperature of the beta phase depends strongly on coverage.
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Affiliation(s)
- M F Reedijk
- NSRIM Department of Solid State Chemistry, University of Nijmegen, Toernooiveld 1, The Netherlands
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5
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Carpinelli JM, Weitering HH, Plummer EW, Stumpf R. Direct observation of a surface charge density wave. Nature 1996. [DOI: 10.1038/381398a0] [Citation(s) in RCA: 322] [Impact Index Per Article: 11.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
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Howes PB, Edwards KA, Hughes DJ, Macdonald JE, Hibma T, Bootsma T, James MA. Influence of interfacial atomic structure on the Schottky-barrier height of Si(111)-Pb. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 51:17740-17743. [PMID: 9978806 DOI: 10.1103/physrevb.51.17740] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Seehofer L, Falkenberg G, Daboul D, Johnson RL. Structural study of the close-packed two-dimensional phases of Pb on Ge(111) and Si(111). PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 51:13503-13515. [PMID: 9978154 DOI: 10.1103/physrevb.51.13503] [Citation(s) in RCA: 44] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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8
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Franklin GE, Bedzyk MJ, Woicik JC, Liu C, Patel JR, Golovchenko JA. Order-to-disorder phase-transition study of Pb on Ge(111). PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 51:2440-2445. [PMID: 9978998 DOI: 10.1103/physrevb.51.2440] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Hwang IS, Golovchenko JA. Phase transition of monolayer Pb/Ge(111): beta - sqrt 3 x sqrt 3 R30 degrees 1 x 1 at ~180 degreesC. PHYSICAL REVIEW. B, CONDENSED MATTER 1994; 50:18535-18542. [PMID: 9976289 DOI: 10.1103/physrevb.50.18535] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Ancilotto F, Selloni A, Car R. Low- and high-temperature phases of a Pb monolayer on Ge(111) from ab initio molecular dynamics. PHYSICAL REVIEW. B, CONDENSED MATTER 1994; 50:15158-15165. [PMID: 9975868 DOI: 10.1103/physrevb.50.15158] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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11
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Ancilotto F, Selloni A, Car R. beta -phase of Pb on Ge(111): The competing roles of electronic bonding and thermal fluctuations. PHYSICAL REVIEW LETTERS 1993; 71:3685-3688. [PMID: 10055046 DOI: 10.1103/physrevlett.71.3685] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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12
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Zhao RG, Zhang Y, Yang WS. Intermixing at Pb/Ge(111) and Pb/Ge(001) interfaces studied with electron-energy-loss spectroscopy. PHYSICAL REVIEW. B, CONDENSED MATTER 1993; 48:8462-8465. [PMID: 10007049 DOI: 10.1103/physrevb.48.8462] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Carlisle JA, Miller T, Chiang T. Photoemission study of Pb on Ge(111). PHYSICAL REVIEW. B, CONDENSED MATTER 1993; 47:3790-3796. [PMID: 10006484 DOI: 10.1103/physrevb.47.3790] [Citation(s) in RCA: 14] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Weitering HH, Ettema AR, Hibma T. Surface states and Fermi-level pinning at epitaxial Pb/Si(111) surfaces. PHYSICAL REVIEW. B, CONDENSED MATTER 1992; 45:9126-9135. [PMID: 10000775 DOI: 10.1103/physrevb.45.9126] [Citation(s) in RCA: 28] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Walker FJ, Specht ED, McKee RA. Film/substrate registry as measured by anomalous x-ray scattering at a reacted, epitaxial Cu/Si(111) interface. PHYSICAL REVIEW LETTERS 1991; 67:2818-2821. [PMID: 10044563 DOI: 10.1103/physrevlett.67.2818] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Wan KJ, Ford WK, Lapeyre GJ, Hermanson JC. Observation and low-energy-electron-diffraction structure analysis of the Ge(111)-( sqrt 3 x sqrt 3 )R30 degrees-Bi system. PHYSICAL REVIEW. B, CONDENSED MATTER 1991; 44:6500-6503. [PMID: 9998514 DOI: 10.1103/physrevb.44.6500] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Huang H, Tong SY, Yang WS, Shih HD, Jona F. Atomic structure of Si(111)-( sqrt 3 x sqrt 3 )R30 degrees-Al studied by dynamical low-energy electron diffraction. PHYSICAL REVIEW. B, CONDENSED MATTER 1990; 42:7483-7486. [PMID: 9994893 DOI: 10.1103/physrevb.42.7483] [Citation(s) in RCA: 37] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Hricovini K. Comment on "Atomic-structure-dependent Schottky barrier at epitaxial Pb/Si(111) interfaces". PHYSICAL REVIEW LETTERS 1990; 65:807. [PMID: 10043026 DOI: 10.1103/physrevlett.65.807] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Weitering HH, Heslinga DR, Hibma T, Klapwijk TM. Weitering et al. reply. PHYSICAL REVIEW LETTERS 1990; 65:808. [PMID: 10043027 DOI: 10.1103/physrevlett.65.808] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Huang H, Wei CM, Tonner BP, Tong SY. Huang et al. reply. PHYSICAL REVIEW LETTERS 1990; 64:1183. [PMID: 10041324 DOI: 10.1103/physrevlett.64.1183] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Dev BN. Comment on "Quantitative structural determination of metallic film growth on a semiconductor crystal: ( sqrt 3 x sqrt 3 )R30 degrees -->(1 x 1) Pb on Ge(111)". PHYSICAL REVIEW LETTERS 1990; 64:1182. [PMID: 10041323 DOI: 10.1103/physrevlett.64.1182] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Huang H, Tong SY, Quinn J, Jona F. Atomic structure of Si(111) ( sqrt 3-bar x sqrt 3-bar)R30 degrees-B by dynamical low-energy electron diffraction. PHYSICAL REVIEW. B, CONDENSED MATTER 1990; 41:3276-3279. [PMID: 9994116 DOI: 10.1103/physrevb.41.3276] [Citation(s) in RCA: 34] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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23
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Fan WC, Ignatiev A, Huang H, Tong SY. Observation and structural determination of ( sqrt 3 x sqrt 3)R30 degrees reconstruction of the Si(111) surface. PHYSICAL REVIEW LETTERS 1989; 62:1516-1519. [PMID: 10039694 DOI: 10.1103/physrevlett.62.1516] [Citation(s) in RCA: 21] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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