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Related papers: Ab-initio tiling and atomic structure for decagona…

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Motivated by a recent experimental observation of superconductivity in the Al-Zn-Mg quasicrystal, we study the low-temperature behavior of electrons moving in the quasiperiodic potential of the Ammann-Beenker tiling in the presence of a…

Superconductivity · Physics 2019-07-12 Ronaldo N. Araújo , Eric C. Andrade

In a narrow composition range centered at Zn74.5Au10.5Yb15.0, Tsai-type icosahedral quasicrystal is formed in alloys quenched from 880 C. This quasicrystal belongs to the primitive type with the 6-dimensional lattice parameter a6D=7.378 A.…

Materials Science · Physics 2020-01-08 Tsutomu Ishimasa

The electronic structure of materials is fundamentally governed by their crystal symmetry. While most research on two-dimensional materials has focused on hexagonal lattices, such as graphene, hexagonal boron nitride, and transition metal…

Materials Science · Physics 2026-04-21 Zhonghui Han , Lanting Feng , Guodong Yu , Shengjun Yuan

Predicting the ground state of alloy systems is challenging due to the large number of possible configurations. We identify an easily computed descriptor for the stability of binary surface alloys, the effective coordination number…

Materials Science · Physics 2017-02-17 Sananda Biswas , Shobhana Narasimhan

Aperiodic (quasicrystalline) tilings, such as Penrose's tiling, can be built up from e.g. kites and darts, squares and equilateral triangles, rhombi or shield shaped tiles and can have a variety of different symmetries. However, almost all…

Soft Condensed Matter · Physics 2022-10-17 Andrew J. Archer , Tomonari Dotera , Alastair M. Rucklidge

The first complete ab initio zero-temperature ternary phase diagram is constructed from the calculated energies of the elemental, binary and ternary Ti-Zr-Ni phases; for this, the icosahedral i-TiZrNi quasicrystal phase is approximated by…

Materials Science · Physics 2007-05-23 R. G. Hennig , A. E. Carlsson , K. F. Kelton , C. L. Henley

We propose a unified framework for dealing with matching rules of quasiperiodic patterns, relevant for both tiling models and real world quasicrystals. The approach is intended for extraction and validation of a minimal set of matching…

Other Condensed Matter · Physics 2019-06-07 Pavel Kalugin , André Katz

We devise an ideal 3-dimensional octagonal quasicrystal that is based upon the 2-dimensional Ammann-Beenker tiling and that is potentially suitable for realization with patchy particles. Based on an analysis of its local environments we…

Soft Condensed Matter · Physics 2026-01-01 Akie Kowaguchi , Savan Mehta , Jonathan P. K. Doye , Eva G. Noya

Phase diagrams supported by density functional theory methods can be crucial for designing high-entropy alloys that are subset of multi-principal$-$element alloys. We present phase and property analysis of quinary…

The hexagonal ZrNiAl-type (space group: P-62m) and the tetragonal Mo2FeB2-type (space group: P4/mbm) structures, which are frequently formed in the same Yb-based alloys and exhibit physical properties related to valence-fluctuation, can be…

Strongly Correlated Electrons · Physics 2018-08-01 Tsutomu Ishimasa , Marek Mihalkovič , Kazuhiko Deguchi , Noriaki K. Sato , Marc de Boissieu

For many years, quasicrystals were observed only as solid-state metallic alloys, yet current research is now actively exploring their formation in a variety of soft materials, including systems of macromolecules, nanoparticles and colloids.…

Soft Condensed Matter · Physics 2018-05-02 Samuel Savitz , Mehrtash Babadi , Ron Lifshitz

The AlPdMn quasicrystal approximants xi, xi', and xi'_n of the 1.6 nm decagonal phase and R, T, and T_n of the 1.2 nm decagonal phase can be viewed as arrangements of cluster columns on two-dimensional tilings. We substitute the tiles by…

Materials Science · Physics 2007-05-23 Michael Engel , Hans-Rainer Trebin

We studied the structural, electronic, mechanical, and thermodynamic properties of N2CaNa full Heusler alloys using density functional theory (DFT). Results for the structural analysis establishes structural stability with a minimum…

Materials Science · Physics 2026-03-11 E. B. Ettah , M. E. Ishaje , K. A. Minakova , V. A. Sirenko , I. S. Bondar

We study energetic, magnetic, and electronic properties of diluted substitutional Mn-pairs on the reconstructed $(001)$ GaAs surfaces. The studies are based on first-principles calculations in the framework of the density functional theory.…

Materials Science · Physics 2017-03-29 M. Birowska , C. Śliwa , J. A. Majewski

Cohesion mechanism of cubic approximant crystals of newly discovered binary quasicrystals, Cd$_6$M (M=Yb and Ca), are studied theoretically. It is found that stabilization due to alloying is obtained if M is an element with low-lying…

Materials Science · Physics 2009-10-31 Yasushi Ishii , Takeo Fujiwara

Although quasicrystals have been studied for 25 years, there are many open questions concerning their stability: What is the role of phason fluctuations? Do quasicrystals transform into periodic crystals at low temperature? If yes, by what…

Other Condensed Matter · Physics 2009-04-01 Michael Engel , Hans-Rainer Trebin

The Mg-Y-Zn magnesium alloy system is commonly recognized for its remarkable combination of high strength and ductility, achieved even with minimal amounts of alloying elements. This exceptional performance is attributed to its unique…

Spin-polarized DFT has been used to perform a comprehensive study of the geometric structures and electronic properties for isolated M4X4 nano-clusters between their two stable isomers - a planar rhombus-like 2D structure and a cubane-like…

Mesoscale and Nanoscale Physics · Physics 2015-12-29 Soumendu Datta , Badiur Rahaman

We present a Density Functional Theory (DFT) based study of the structural and magnetic properties of the (001) surface of the semiconducting oxide ZnFe2O4 (spinel structure). The calculations were performed using the DFT based ab initio…

In the Al-Co-Cu alloy system, both the decagonal quasicrystal with the space group of $P\overline{10}m2$ and its approximant Al$_{13}$Co$_4$ phase with monoclinic $Cm$ symmetry are present around 20 at.% Co-10 at.% Cu. In this study, we…

Materials Science · Physics 2016-10-13 K. Nakayama , A. Mizutani , Y. Koyama