arXiv subjects

G. Kontrym-Sznajd

Publications and source records attributed to G. Kontrym-Sznajd.

At least 19 recordsLinked to original sources

arXiv2017

Fermiology via the electron momentum distribution

Investigations of the Fermi surface via the electron momentum distribution reconstructed from either angular correlation of annihilation radiation (or Compton scattering) experimental spectra are presented. The basis of these experiments and mathematical methods applied in reconstructing three-dimensional densities from line (or plane) projections measured in these experiments are described. The review of papers where such techniques have been applied to study the Fermi surface of metallic materials with showing their main results is also done.

cond-mat.other↗

arXiv2007

On the reliability of linear band structure methods

We discuss an efficiency of various band structure algorithms in determining the Fermi surface (FS) of the paramagnetic ErGa3. The linear muffin-tin orbital (LMTO) in the atomic sphere approximation (ASA) method and three full potential (FP) codes: FP-LMTO, FP linear augmented plane wave (FLAPW), and FP local orbitals (FPLO) methods are employed. Results are compared with electron-positron (e-p) momentum densities reconstructed from two dimensional angular correlation of annihilation radiation (2D ACAR). Unexpectedly, none of used modern FP codes is able to give satisfying description of the experimental data that are in perfect agreement with LMTO-ASA results. We suspect that it can be connected with a different choice of the linearization energy.

cond-mat.mtrl-sci↗

arXiv2006

Observation of a strongly nested Fermi surface in the shape-memory alloy Ni[0.62]Al[0.38]

The Fermi surface topology of the shape-memory alloy Ni[0.62]Al[0.38] has been determined using Compton scattering. A large area of this Fermi surface can be made to nest with other areas by translation through a vector of ~ 0.18 [1,1,0] (2pi/a), which correponds to the wavevector associated with martensitic precursor phenomena such as phonon softening and diffuse streaking in electron diffraction patterns. This observation is compelling evidence that these phenomena are driven by the enhanced electron-lattice coupling due to the Fermi surface nesting.

cond-mat.mtrl-sci↗

arXiv2005

Many-body effects observed in the positron annihilation experiment

This paper is devoted to study many-body effects in the positron annihilation experiment, both electron-positron (e-p) and electron-electron (e-e) correlations. Various theories of the e-p interaction in real solids were used to verify them by comparing theoretical and experimental e-p momentum densities in Cu and Y. We show that the lattice potential has an essential influence on the e-p correlation effects, i.e. their proper description must be done via periodic lattice potential as e.g. in the Bloch Modified Ladder (BML) theory. Moreover, it is not true that that the dynamic parts of the direct e-p and e-e interactions cancel each other because e-e correlations are observed not only in the Compton scattering but also in the positron annihilation experiments. Keywords: positron annihilation, Compton scattering, momentum densities, many-body effects

cond-mat.mtrl-sci↗

arXiv2005

Different ways of dealing with Compton scattering and positron annihilation experimental data

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 packed metals it is shown what kind of information on the electronic structure one can get from 1D profiles, interpreted in terms of either 2D or 3D momentum densities. 2D and 3D densities are reconstructed from merely two and seven 1D profiles, respectively. Applied reconstruction techniques are particular solutions of the Radon transform in terms of orthogonal Gegenabauer polynomials. We propose their modification connected with so-called two-step reconstruction. The analysis is performed both in the extended p and reduced k zone schemes. It is demonstrated that if positron wave function or many-body effects are strongly momentum dependent, analysis of 2D densities folded into k space may lead to wrong conclusions concerning the Fermi surface. In the case of 2D ACAR data in Mg we found very strong many-body effects. PACS numbers: 71.18.+y, 13.60.Fz, 87.59.Fm

cond-mat.mtrl-sci↗

arXiv2004

Band structure of LaB6 by an algorithm for filtering reconstructed electron-positron momentum densities

A new method (NM) for filtering three-dimensional reconstructed densities is proposed. The algorithm is tested with simulated spectra and employed to study the electronic structure of the rare-earth compound LaB6. For this system, momentum densities are reconstructed from theoretical and experimental two-dimensional angular correlation of electron-positron annihilation radiation (2D ACAR) spectra. The experimental results are in good agreement with the band structure calculated with the full-potential linearized augmented-plane-wave (FLAPW) method within the local-density approximation (LDA), apart from the detection of small electron pockets in the 15th band. It is also shown that, unlike the electron-positron enhancement, the electron-electron correlations affect noticeably the momentum density.

cond-mat.mtrl-sci↗

arXiv2003

Fermi-surface mapping from Compton profiles: Application to beryllium

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 profiles. It is shown that in the case of Be, despite the momentum density is highly anisotropic, merely two Compton profiles are sufficient to reproduce the main features of the momentum density. The analysis of the reconstructed densities is performed both in the extended and reduced zone schemes.

cond-mat.mtrl-sci↗

arXiv2002

Electron momentum density in Cu0.9Al0.1

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 alloy single crystal. The method was also applied to theoretical CPs computed within the Korringa-Kohn-Rostoker coherent potential approximation (KKR-CPA) first-principles scheme for the same nine orientations of the crystal. The experimental density rho(p) is in satisfactory agreement with the theoretical density and shows most details of the Fermi surface (FS) and exhibits electron correlation effects. We comment on the map of the FS obtained by folding the reconstructed rho(p) into the first Brillouin zone which yields the occupation number density, rho(k). A test of the validity of data via a consistency condition (within our reconstruction algorithm) as well as the propagation of experimental noise in the reconstruction of both rho(p) and rho(k) are investigated.

cond-mat.mtrl-sci↗

arXiv2002

Electron momentum density in yttrium

A simultaneous analysis of high-resolution directional Compton profiles and two-dimensional angular correlation of positron annihilation experimental data has been performed by studying both a directional anisotropy of measured spectra and reconstructed densities. The results were compared with theoretical fully-relativistic augmented plane-wave calculations with and without including correlation effects. Estimated symmetry selection rules have allowed us to establish some values of Fermi momenta. Both experiments show exactly the same shape of the anisotropy of the momentum densities, in agreement with the band structure results. In the positron annihilation data electron-positron correlations are not seen while in both experiments electron-electron correlations are observed.

cond-mat.mtrl-sci↗

arXiv2002

Reconstruction of densities from Compton profiles with applying Jacobi polynomials

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 results of applying a new method in which the radial parts of rho(p) and the measured profiles are expressed in terms of Jacobi polynomials. The technique is demonstrated using model projections that correspond to Mg and Gd spectra. Reconstructed densities, being in very good agreement with model ones, are a very good performance of our new reconstruction algorithm.

cond-mat.mtrl-sci↗

arXiv2002

Special directions in the Brillouin zone

Rules are given for determining special directions in the Brillouin zone which optimize the descrip-tion of various physical quantities with Gamma1 type symmetry. We consider the cubic, hexagonal, tetragonal and trigonal (e.g. Bi) lattice. These rules allow us to construct, in all of momentum space, quantities which have the full symmetry of the Brillouin zone such as the Fermi surface, momentum density and others, from the knowledge of these quantities for a limited number of spe-cial directions. These results can also be used for determining the projections which should be measured either in Compton scattering or in positron annihilation experiments in order to recon-struct properly the electron momentum density. Such a treatment is approximately equivalent to applying Gaussian quadrature in calculations of the radial functions that occur in the expansion of data into lattice harmonics.

cond-mat.mtrl-sci↗

arXiv2002

On the reliability of various enhancement theories for a description of electron-positron densities in metals

Four theoretical approaches to calculate momentum densities of electron-positron annihilation pairs (MDAP) in crystalline solids are confronted with 3D densities reconstructed from two-dimensional angular correlation (2D-ACAR) data for copper, chromium, and yttrium. It is shown that the Bloch-modified ladder theory, in contrast to other approaches, is able to describe - at least qualitatively - the MDAP profiles for all metals investigated.

cond-mat.mtrl-sci↗

arXiv2002

Fermi surface of Mg and Cd

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 zone, we separated Fermi surfaces in various bands. Our results are in good agreement with band structure LMTO calculations. In order to examine how many 1D profiles give us a possibility to reproduce the same details of the Fermi surfaces and Umklapp components of electron densities, various sets of 1D spectra were created for special directions in the Brillouin zone. Finally, corresponding 3D densities were reconstructed to show how many details one can get depending on the number of 1D profiles.

cond-mat.mtrl-sci↗

arXiv2002

Three-dimensional reconstruction of the Fermi surface of LaB6

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. From the experimental spectra we produced the 3D k-space density rho(k) via three different methods: i) we reconstructed the 3D electron-positron momentum density rho(p) via the Cormack method. rho(k) was then obtained by applying the 3D LCW transformation to rho(p). ii) The same steps of point i) were repeated adopting a modified Fourier-transform-based algorithm. iii) The 3d k-space occupancy rho(k) was obtained directly by parameterising the Fermi surface volume with prolate ellipsoids whose axes were determined by a least-square fit to the 2D LCW transformations applied to two high symmetry projections. The ellipsoids diameters along high symmetry directions of the cubic Brillouin zone (BZ), as a fraction of the BZ size, were 0.64 (dir. X-M) and 0.82 (dir. Gamma-X). The resulting Fermi volume, as a fraction of the BZ volume, was 0.55. These results agree within 1% with those obtained via the de Haas van Alphen experiments.

cond-mat.mtrl-sci↗

arXiv2002

Fermi surface nesting and magnetic structure of ErGa3

A three dimensional mapping of the Fermi Surface (FS) of the rare-earth compound ErGa3 was determined via measurements of the angular correlation of the electron-positron annihilation radiation. The topology of the electronlike FS does show nesting properties which are consistent with the modulated antiferromagnetic structure of the system. We determine the density of states at the Fermi energy N(EF) and the electronic contribution to the gamma constant to be N(EF)=16 states/Ryd/cell and gamma=2.7 (mJ/mole K^2), respectively. Densities rho(k) of ErGa3 and TmGa3 in the kz=0 and kz=pi/a plane of the Brillouin zone reconstructed from 2D ACAR data. The arrow highlights the nesting feature attributed to TmGa3 and ErGa3 (left and right sides, respectivelty).

cond-mat.mtrl-sci↗

arXiv2002

Fermi surface of yttrium

Electron-positron momentum densities in Y, reconstructed from two-dimensional angular correlation of annihilation radiation spectra, are compared with the theoretical predictions of fully-relativistic augmented plane-wave calculations. Knowledge of the theoretical densities and of the effects on them of certain symmetry selection rules has allowed us to separate two hole Fermi sur-faces in the third and fourth bands and to establish some Fermi momenta for each of them.

cond-mat.mtrl-sci↗

arXiv2002

A positron study of the Fermi surface of TmGa3

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 electron-positron momentum density was reconstructed both via the Cormack and a modified Fourier-transform-based method. After the 3D LCW transformation, the resulting k-space density was in fair agreement with band structure LMTO calculations. In particular, the use of deconvoluted data helped to reveal small details of the Fermi surface in the 6th band.

cond-mat.mtrl-sci↗

arXiv2002

Reconstructed Momentum Density and Fermi Surface in Cu0.9Al0.1

A reconstruction technique based on Radon transforms is used to obtain 3D electron momentum density rho(p) using nine recently measured high-resolution Compton profiles (CPs) from a Cu_{0.9}Al_{0.1} disordered alloy single crystal. The method was also applied to nine corresponding theoretical CPs computed within the KKR-CPA first-principles scheme in order to show that our reconstruction procedure reproduces rho(p) reasonably. We comment briefly on how well a map of the Fermi surface (FS) can be obtained by folding the reconstructed rho(p) into the first Brillouin zone.

cond-mat.mtrl-sci↗