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A reconstruction technique based on the solution of the Radon transform in terms of Jacobi polynomials is used to obtain the 3D electron momentum density rho(p) from nine high-resolution Compton profiles (CPs) for a Cu0.9Al0.1 disordered…

The 2-dimensional angular correlations of the positron annihilation radiation (2D-ACAR) on a single crystal of LaB6 was measured for three projections. The 2D-ACAR spectra were subjected to the Van Citter-Gerhard deconvolution alghorithm.…

Materials Science · Physics 2007-05-23 M. Monge , M. Biasini , G. Kontrym-Sznajd , N. Sato

We present three-dimensional (3D) electron-positron momentum densities in Mg and Cd, reconstructed from 2D angular correlation of annihilation radiation data. By folding densities from the extended momentum space into the first Brillouin…

Materials Science · Physics 2009-11-07 A. Jura , G. Kontrym-Sznajd , M. Samsel-Czekala

The advent of synchrotron sources has led to an increasing availability of high resolution Compton Profiles J(pz) and a consequent renewed interest in the reconstruction of the corresponding full momentum densities rho(p). We present…

Materials Science · Physics 2016-08-31 G. Kontrym-Sznajd , M. Samsel , R. N. West

We present a novel technique for enhancing Fermi surface (FS) signatures in the 2D distribution obtained after the 3D momentum density in a crystal is projected along a specific direction in momentum space. These results are useful for…

Recent advances in quantum crystallography have shown that, beyond conventional charge density refinement, a one-electron reduced density matrix (1-RDM) satisfying N-representability conditions can be reconstructed using jointly…

Quantum Physics · Physics 2024-03-04 Sizhuo Yu , Jean-Michel Gillet

We report high-resolution Compton profiles (CP's) of Al along the three principal symmetry directions at a photon energy of 59.38 keV, together with corresponding highly accurate theoretical profiles obtained within the local-density…

Materials Science · Physics 2009-10-31 T. Ohata , M. Itou , I. Matsumoto , Y. Sakurai , H. Kawata , N. Shiotani , S. Kaprzyk , P. E. Mijnarends , A. Bansil

We have observed the bulk Fermi surface (FS) in an overdoped ($x$=0.3) single crystal of La$_{2-x}$Sr$_x$CuO$_4$ by using Compton scattering. A two-dimensional (2D) momentum density reconstruction from measured Compton profiles yields a…

The two-dimensional momentum density of Be on the basal GMK plane, i.e. the line integral of the three-dimensional momentum density along the c-axis, is reconstructed via the Cormack method from both experimental and theoretical Compton…

Materials Science · Physics 2009-11-10 G. Kontrym-Sznajd , M. Samsel-Czekala , S. Huotari , K. Hamalainen , S. Manninen

For a single crystal of TmGa3, two-dimensional angular correlation of positron annihilation radiation spectra were measured and subjected to a deconvolution algorithm based on the Van Citter iterative method. The three-dimensional…

Materials Science · Physics 2007-05-23 M. Biasini , A. Czopnik , A. Jura , G. Kontrym-Sznajd , M. Monge

A method for computing electron momentum densities and Compton profiles from ab initio calculations is presented. Reciprocal space is divided into optimally-shaped tetrahedra for interpolation, and the linear tetrahedron method is used to…

Fermi surfaces, three-dimensional (3D) abstract interfaces that define the occupied energies of electrons in a solid, are important for characterizing and predicting the thermal, electrical, magnetic, and optical properties of crystalline…

We present all electron computations of the 3D Fermi surfaces (FS's) in Ba$_{1-x}$K$_{x}$BiO$_{3}$ for a number of different compositions based on the selfconsistent Korringa-Kohn-Rostoker coherent-potential-approximation (KKR-CPA) approach…

Materials Science · Physics 2009-10-31 S. Sahrakorpi , B. Barbiellini , R. S. Markiewicz , S. Kaprzyk , M. Lindroos , A. Bansil

The evolution of the Fermi surface of CeRh$_{1-x}$Co$_x$In$_5$ was studied as a function of Co concentration $x$ via measurements of the de Haas-van Alphen effect. By measuring the angular dependence of quantum oscillation frequencies, we…

Strongly Correlated Electrons · Physics 2008-07-30 Swee K. Goh , Johnpierre Paglione , Mike Sutherland , E. C. T. O'Farrell , C. Bergemann , T. A. Sayles , M. B. Maple

Moment methods to reconstruct images from their Radon transforms are both natural and useful. They can be used to suppress noise or other spurious effects and can lead to highly efficient reconstructions from relatively few projections. We…

Functional Analysis · Mathematics 2019-03-08 H. Choi , V. Ginting , F. Jafari , R. Mnatsakanov

We have carried out first principles, all-electron computations of the magnetic momentum density $\rho_{mag}({\mathbf p})$ and magnetic Compton profiles (MCPs) for momentum transfer along the [100], [001], and [110] directions in…

Strongly Correlated Electrons · Physics 2007-05-23 P. E. Mijnarends , S. Kaprzyk , B. Barbiellini , A. Bansil , Yinwan Li , J. F. Mitchell , P. A. Montano

Two-dimensional angular correlation of annihilation radiation (2D-ACAR) and Compton scattering are both powerful techniques to investigate the bulk electronic structure of crystalline solids through the momentum density of the electrons.…

Different ways of dealing with one-dimensional (1D) spectra, measured e.g. in the Compton scattering or angular correlation of positron annihilation radiation (ACAR) experiments are presented. On the example of divalent hexagonal close…

Materials Science · Physics 2007-05-23 G. Kontrym-Sznajd , M. Samsel-Czekala

We consider the reconstruction expected for the Fermi surface of underdoped YBa2Cu3O6+x in the case of a collinear spin-density wave with a characteristic vector Q=(pi[1+/-2 delta],pi), assuming an incommensurability delta~0.06 similar to…

Strongly Correlated Electrons · Physics 2015-05-13 N. Harrison

We performed low-temperature de Haas-van Alphen (dHvA) effect measurements on a Ce$_{1-x}$Nd$_x$CoIn$_5$ series, for x = 0.02, 0.05, 0.1, and 1, down to T = 40 mK using torque magnetometry in magnetic felds up to 35 T. Our results indicate…

Strongly Correlated Electrons · Physics 2018-08-13 J. Klotz , K. Götze , I. Sheikin , T. Förster , D. Graf , J. -H. Park , E. S. Choi , R. Hu , C. Petrovic , J. Wosnitza , E. L. Green
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