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Hiraoka, Nozomu; Buslaps, T.; Honkimäki, V.; Ahmad, Javed; Uwe, Hiromoto

doi:10.1103/physrevb.75.121101

Cited by 16 publications

(12 citation statements)

References 22 publications

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“…Among others, this may be the reason that in Compton scattering experiments for the most part such directions are measured as marked in Figs. 5 and 9 by squares (see also Mijnarends, 1967;Hiraoka et al, 2007;Tanaka et al, 1993Tanaka et al, , 2001Timms et al, 1990). Moreover, as noted by Mijnarends (1967), in order to minimize the effects of noise, the HSD are more profitable.…”

Section: Figurementioning

confidence: 96%

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Special directions in momentum space. III. Practical applications

Kontrym‐Sznajd

2015

J Appl Cryst

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This paper complements two previous papers devoted to Special directions in momentum space. I. Cubic and II. Hexagonal, tetragonal and trigonal symmetries [Kontrym‐Sznajd & Samsel‐Czekala (2011). J. Appl. Cryst.44, 1246–1254; Kontrym‐Sznajd & Samsel‐Czekala (2012). J. Appl. Cryst.45, 1254–1260], in which sets of special directions (SDs) were proposed. Such directions, employing the full symmetry of the Brillouin zone, allow for constructing in the whole space anisotropic quantities from their known values along a few directions. SDs also define which spectra, measured in, for example, Compton scattering experiments, are the most efficient for reconstructing three‐dimensional densities from their one‐dimensional projections. This paper, in which new sets of special directions (SDs) for cubic structures are proposed, is devoted mainly to practical applications of SDs. Taking into account experimental uncertainty, an optimal strategy for experimental investigations is discussed.

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Section: Figurementioning

confidence: 96%

“…3) and with digits no higher than 20, denoted in Table 2 as sets 1 and 2, respectively. Directions chosen similarly as in the Compton scattering experiments (Nagao et al, 2008;Hiraoka et al, 2007;Tanaka et al, 1993) are marked by squares. Except for [321], they are referred to later as the BZD (boundary zone directions).…”

Section: Figurementioning

confidence: 99%

Special directions in momentum space. III. Practical applications

Kontrym‐Sznajd

2015

J Appl Cryst

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“…This technique provides EMD via tomographic reconstruction and has no such inhomogeneous effects 25,26 . Owing to the nature of the surface insensitivity, Compton scattering is recently attracting attention as a complementary method to ARPES 26–29 . However the scattering cross section is very small and almost no intensity would be observed on monolayer or bilayer samples.…”

Section: Resultsmentioning

confidence: 99%

Electron momentum densities near Dirac cones: Anisotropic Umklapp scattering and momentum broadening

Hiraoka

Nomura

2017

Sci Rep

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The relationship between electron momentum densities (EMDs) and a band gap is clarified in momentum space. The interference between wavefunctions via reciprocal lattice vectors, making a band gap in momentum space, causes the scattering of electrons from the first Brillouin zone to the other zones, so-called Umklapp scattering. This leads to the broadening of EMDs. A sharp drop of the EMD in the limit of a zero gap becomes broadened as the gap opens. The broadening is given by a simple quantity, E g/v F, where E g is the gap magnitude and v F the Fermi velocity. As the ideal case to see such an effect, we investigate the EMDs in graphene and graphite. They are basically semimetals, and their EMDs have a hexagonal shape enclosed in the first Brillouin zone. Since the gap is zero at Dirac points, a sharp drop exists at the corners (K/K’ points) while the broadening becomes significant away from K/K’s, showing the smoothest fall at the centers of the edges (M’s). In fact, this unique topology mimics a general variation of the EMDs across the metal-insulator transition in condensed matters. Such an anisotropic broadening effect is indeed observed by momentum-density-based experiments e.g. x-ray Compton scattering.

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“…Nevertheless, there is much evidence that the electron-phonon interaction is very important in high-T c cuprates [22][23][24][25] despite the observed predominantly d-wave pairing [26,27], more appropriate to the interaction repulsive at short distances [28]. For oxides with lower T c , there are sound reasons to consider the Cooper pairing isotropic and boson mediators as ubiquitous phonons [29,30].…”

Section: Introductionmentioning

confidence: 99%