Quantum-well and tight-binding analyses of spin-polarized photoemission from Ag/Fe(001) overlayers

Quantum-well-induced ferromagnetism in thin films

“…The corresponding quantization may be described in terms of the phase accumulation picture, 23,24 which expresses the condition for constructive interference of a QW state of wave vector…”

Spin‐polarized Photoelectron Spectroscopy as a Probe of Magnetic Systems

“…The movement to lower binding energy simply reflects the fact that with each new layer the wavefunction describing the quantum well state has to gain an extra half-wavelength to accommodate the new atomic potential (Smith et al 1994). We can use the same quantization condition given above for the multilayers but now the φ c of one interface is replaced by the φ B describing the phase shift of the wavefunction at the solid/vacuum interface.…”

“…In a more detailed analysis of this picture, Smith et al (1994) concluded that the appropriate quantum numbers for classifying the quantum well states were not n, the number of nodes, or m, the number of layers, but rather ν =  (m -n) as illustrated in figure 8 for silver films deposited on an Fe(001) substrate. In this classification scheme the thickness against energy relationship may be written…”

“…Examination of figure 10 shows that in the Fe majority spin band structure the top of the (23) and the tight-binding method (Smith et al 1994) and ab initio calculations of the layered KKR type .…”

Strain induced alteration of the gadolinium surface state

“…[11][12][13][14] Surface states originate from electrons confined to the top most layer of the solid, trapped in between the bulk band gap and the surface potential. A simple one-dimensional ͑so-called ''phase accumulation''͒ model [11][12][13][14] can be employed to roughly describe the surface state energy. This simple model considers the surface electron in a one-dimensional quantum well, confined by the image potential on the vacuum side and the bulk band gap on the crystal side.…”