Interaction of surface states with rows of adsorbed atoms and other one-dimensional scatterers

Hörmandinger, G.; Pendry, J. B.

doi:10.1103/physrevb.50.18607

Cited by 65 publications

(64 citation statements)

References 21 publications

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“…In the preceding section, we have obtained the reflection amplitude R and the phase shift φ at the fractional step, but the energy range where they are applicable is limited to E ∼ 0.1 eV. To calculate the spectra for a wider energy range, we extract the effective potential barrier and perform a model calculation according to the prescription by Hörmandinger and Pendry 41 . For simplicity, the potential barrier at the fractional step is assumed to be that of rectangular shape with constant potential W within the barrier and a width of a (see the inset of Fig.…”

Section: A Determination Of the Effective Potential Barriermentioning

confidence: 99%

One-dimensional surface states on a striped Ag thin film with stacking fault arrays

et al. 2011

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One-dimensional (1D) stripe structures with a periodicity of 1.3 nm are formed by introduction of stacking fault arrays into a Ag thin film. The surface states of such striped Ag thin films are studied using a low temperature scanning tunneling microscope. Standing waves running in the longitudinal direction and characteristic spectral peaks are observed by differential conductance (dI/dV ) measurements, revealing the presence of 1D states on the surface stripes. Their formation can be attributed to quantum confinement of Ag(111) surface states into a stripe by stacking faults. To quantify the degree of confinement, the effective potential barrier at the stacking fault for Ag(111) surface states is estimated from independent measurements. A single quantum well model with the effective potential barrier can reproduce the main features of dI/dV spectra on stripes, while a Kronig-Penney model fails to do so. Thus the present system should be viewed as decoupled 1D states on individual stripes rather than as anisotropic 2D Bloch states extending over a stripe array.

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Section: A Determination Of the Effective Potential Barriermentioning

confidence: 99%

One-dimensional surface states on a striped Ag thin film with stacking fault arrays

et al. 2011

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“…Such a process has been pointed out by Hörmandinger and Pendry for rows of scatterers on flat Cu(111) [19]. Figure 4 outlines schematically Bragg scattering with G x vectors from surface states on the terrace, at the bottom of the surface band ͑k k 0͒.…”

Section: (Received 2 November 1999)mentioning

confidence: 99%

Electron Wave Function at a Vicinal Surface: Switch from Terrace to Step Modulation

Ortega

Speller

et al. 2000

Phys. Rev. Lett.

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The Cu(111) surface state has been mapped for vicinal surfaces with variable step densities by angleresolved photoemission. Using tunable synchrotron radiation to vary the k dependence perpendicular to the surface, as well as the k k dependence, we find a switch between two qualitatively different regimes at a miscut of 7 ± (17 Å terrace width). For larger miscut angles the step modulation of the wave function dominates, and for smaller miscut angles the terrace modulation dominates. These observations resolve an apparent inconsistency between prior photoemission and STM results.

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“…A host of studies (Bürgi et al, 1998;Crampin et al, 1994;Fiete et al, 2001;Hormandinger and Pendry, 1994;Knorr et al, 2002; suggest that it is quite generic for adatoms to strongly couple surface states to FIG. 7 A theoretical calculation of STM data that could not be modeled with a "particle-in-the-box" approximation (because it is "open") or any type of smooth arc (note the circular "wavelets" near the impurities).…”

Section: Figmentioning

confidence: 99%

Colloquium: Theory of quantum corrals and quantum mirages

2003

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Quantum corrals are two dimensional structures built atom by atom on an atomically clean metallic surface using a scanning tunneling microscope (STM). These two dimensional structures "corral" electrons in the surface states of noble metals, leading to standing wave patterns in the electron density inside the quantum corral. We review the physics of quantum corrals and relate the signal of the STM to the scattering properties of substrate electrons from atomic impurities supported on the surface. The theory includes the effects of incoherent surface state electron scattering at the impurities and quantitively describes nearly all of the current STM data on quantum corrals, including the recent quantum mirage experiments with Kondo effect. We discuss the physics underlying the recent mirage experiments and review some of the outstanding questions regarding the Kondo effect from impurities in nanoscale structures on metallic surfaces. We also summarize recent work on variations of "quantum" corrals: optical corrals and acoustical corrals.

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Interaction of surface states with rows of adsorbed atoms and other one-dimensional scatterers

Cited by 65 publications

References 21 publications

One-dimensional surface states on a striped Ag thin film with stacking fault arrays

One-dimensional surface states on a striped Ag thin film with stacking fault arrays

Electron Wave Function at a Vicinal Surface: Switch from Terrace to Step Modulation

Colloquium: Theory of quantum corrals and quantum mirages

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