Phonon contributions to photohole linewidths observed for surface states on copper

Matzdorf, R.; Meister, G.; Goldmann, A.

doi:10.1103/physrevb.54.14807

Cited by 66 publications

(50 citation statements)

References 29 publications

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“…This deficiency of PES is well known; it could be attributed to broadening by scattering at substrate imperfections. 20,30,34 In agreement with this interpretation, Li et al in a recent STS study on Ag͑111͒ reported an unprecedented small ⌫ value from local measurements on surface areas that were bare of defects. 31 In Fig.…”

Section: Spatial Damping On Cu"111…supporting

confidence: 55%

“…This assignment is supported by differences of up to 10 meV in the linewidth ''offset'' between different research groups, whereas there is good agreement on d⌫/dT. 10,20 The influence of sputter defects on the linewidth ⌫ was employed to extrapolate to ''intrinsic'' linewidths expected from PES of perfectly ordered surfaces. 30 The resulting ''intrinsic''…”

Section: Spatial Damping On Cu"111…mentioning

confidence: 89%

“…18,19 A source of L other than transport measurements has recently become available by highresolution ARPES, revealing Lorentzian line shapes. 10,[20][21][22] The full peak width at half maximum ⌫ gives access to the lifetime via ⌫ϭប/ and to the phase-coherence length L ϭv, where v is the group velocity of the electrons. In contrast to ARPES, STM offers the possibility to determine locally the phase-relaxation length L of surface-state electrons by analyzing the damping of the LDOS oscillations.…”

Section: Introductionmentioning

confidence: 99%

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Thermal damping of quantum interference patterns of surface-state electrons

et al. 1999

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The temperature-dependent damping of quantum-mechanical interference patterns from surface-state electrons scattering off steps on Ag͑111͒ and Cu͑111͒ has been studied using scanning tunneling microscopy ͑STM͒ and spectroscopy in the temperature range 3.5-178 K. The thermal damping of the electron standing waves is described quantitatively within a simple plane-wave model accounting for thermal broadening due to the broadening of the Fermi-Dirac distributions of sample and tip, for beating effects between electrons with different k ͉͉ vectors, and for inelastic collisions of the electrons, e.g., with phonons. Our measurements reveal that Fermi-Dirac broadening fully explains the observed damping for Ag and Cu. From the analysis of our data, lower limits of the phase-relaxation lengths at the Fermi energy E F of the two-dimensional electron gas of L (E F )տ600 Å at 3.5 K and տ250 Å at 77 K for Ag͑111͒, and of L (E F )տ660 Å at 77 K and տ160 Å at 178 K for Cu͑111͒ are deduced. In contrast to integral measurements such as photoemission we measure L close to E F and also locally. The latter eliminates residual line widths due to surface defect scattering found in the integrating techniques. Our STM results, therefore, currently provide a very good absolute estimate of L and the inelastic lifetime ϭL /v F , respectively. Our values can be combined with photoemission results on dL /dT to derive the inelastic lifetime of surface state electrons at any T. ͓S0163-1829͑99͒02524-2͔

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Section: Spatial Damping On Cu"111…supporting

confidence: 55%

Section: Spatial Damping On Cu"111…mentioning

confidence: 89%

Section: Introductionmentioning

confidence: 99%

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Thermal damping of quantum interference patterns of surface-state electrons

et al. 1999

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“…The temperature dependence of the linewidth for photoemission from d-like surface states has also been studied by Matzdorf et al [129]. Observed mass enhancement factors are l ¼ 0:09 AE 0:02 at M on Cu(1 0 0) and l ¼ 0:085 AE 0:015 at M on Cu (1 1 1).…”

Section: Tamm States On Noble-metal Surfacesmentioning

confidence: 91%

“…Observed mass enhancement factors are l ¼ 0:09 AE 0:02 at M on Cu(1 0 0) and l ¼ 0:085 AE 0:015 at M on Cu (1 1 1). The latter value may be compared with l ¼ 0:14 AE 0:02 [99] and l ¼ 0:137 AE 0:015 [129], respectively, measured for the Shockley state at G on Cu (1 1 1). All values are of comparable magnitude and indicate that the surface states at G and M, despite their different orbital character and the corresponding different localization, respond similarly in their electron-phonon interaction.…”

Section: Tamm States On Noble-metal Surfacesmentioning

confidence: 99%

Decay of electronic excitations at metal surfaces

Echenique

Berndt

Chulkov

et al. 2004

Surface Science Reports

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438

403

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Electron Dynamics in Image Potential States at Metal Surfaces

Fauster

2010

Dynamics at Solid State Surfaces and Interfaces

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Electron dynamics describes the temporal evolution of an electronic state due to interactions with particles or quasiparticles. The ground state of the system is characterized by the stationary states whose time dependence is determined by the energy of the state. In the present context, we consider an excited electron at the surface, for example, in a surface or adsorbate state. On its relaxation path to the ground state (or thermal equilibrium) it is going to be scattered and the possible processes can be divided into the following categories:. Electron-electron scattering: This most important process for energy relaxation leads to decay into bulk or surface states at lower energy with simultaneous creation of an electron-hole pair. The coupling to the electronic system can also include other quasiparticles such as excitons, plasmons, and magnons that are not covered in this chapter. . Electron-phonon scattering: This scattering process mainly changes the direction of the electron motion and embraces both scattering to bulk bands and scattering within the surface state band. The energy loss is usually rather small compared to electron-electron scattering. Temperature is a convenient control of electron-phonon scattering. . Electron defect scattering: Real surfaces contain always a nonnegligible amount of defects, such as steps or impurity atoms. The associated electron defect scattering mainly changes the electron momentum leaving the energy almost unchanged. In many aspects, it is similar to electron-phonon scattering. Electron defect scattering can be identified by controlling the defect density.Image potential states [1] are a special class of surface states that exist on many metal surfaces (see chapter 3 of volume 2). The small binding energies relative to the vacuum level point to a weak coupling to the metal. Correspondingly, image potential states can have relatively long lifetimes (>10 fs) and can conveniently be studied with

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Phonon contributions to photohole linewidths observed for surface states on copper

Cited by 66 publications

References 29 publications

Thermal damping of quantum interference patterns of surface-state electrons

Thermal damping of quantum interference patterns of surface-state electrons

Decay of electronic excitations at metal surfaces

Electron Dynamics in Image Potential States at Metal Surfaces

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