2013
DOI: 10.1103/physrevb.87.245432
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Anomalous phase relations of quantum size effects in ultrathin Pb films on Si(111)

Abstract: Abstract:Quantum oscillations of work function and film stability as a function of the film thickness in Pb thin films on Si(111) are measured directly using scanning tunneling microscopy and spectroscopy in order to determine their phase relationship. The comparison of the phase relationship in quantum oscillations (surface energy vs. work function) reveals a complete surprise: in contrast to a theoretically predicted 1/4 wavelength phase shift in the phase relationship, we found that their quantum oscillatio… Show more

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Cited by 11 publications
(13 citation statements)
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References 38 publications
(32 reference statements)
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“…[18][19][20][21] Pb islands usually exhibit a bilayer-to-bilayer growth mode on semiconductor substrates due to quantum size effect. [18][19][20][21][22][23][24] It is recently illustrated that Pb islands could be epitaxially grown on graphene and the interaction between Pb and C atoms is extremely weak. 12,14,15 In this work, low-temperature scanning tunneling microscopy (LT-STM) is adopted to study the growing status of Pb islands on G/SiC substrates.…”
Section: Introductionmentioning
confidence: 99%
“…[18][19][20][21] Pb islands usually exhibit a bilayer-to-bilayer growth mode on semiconductor substrates due to quantum size effect. [18][19][20][21][22][23][24] It is recently illustrated that Pb islands could be epitaxially grown on graphene and the interaction between Pb and C atoms is extremely weak. 12,14,15 In this work, low-temperature scanning tunneling microscopy (LT-STM) is adopted to study the growing status of Pb islands on G/SiC substrates.…”
Section: Introductionmentioning
confidence: 99%
“…12 ML and 13 ML are referred to as a cross-over region that is caused by a phase slip of the bilayer oscillations resulting from the accumulation of phase-matching errors. The details of the film stability and of the cross-over are well described in other studies [19,20]. The overall distribution of these islands with moiré pattern looks uniform on the surface, except for the thinnest region of the area circled in Fig.…”
Section: Resultsmentioning
confidence: 84%
“…Then, 0.2 ML Au was deposited on top of the Pb mesa islands at a low temperature (90 K) and the sample temperature was maintained below 110 K while transferring the sample to a STM stage. Annealing treatment of up to 250 K was conducted by placing the sample at room temperature stage and the residential time vs. the sample temperature was carefully calibrated [19]. The thickness of Pb film was referenced on the wetting layer of Si(111) 7 × 7 surfaces.…”
Section: Sample Preparationmentioning
confidence: 99%
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“…2(a)). The bilayer oscillations of ϕ M are owing to the nearly half-integer phase matching between the Fermi wavelength and the lattice spacing along the (111) direction, which have been examined both theoretically [35,36] and experimentally [37,38]. Although our Si substrate has only 4 atomic layers, we checked that a thicker Si substrate does not modify the trend qualitatively.…”
Section: Introductionmentioning
confidence: 97%