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We studied finite Fibonacci sequence of Co and Py stripes aligned side-by-side and in direct contact with each other. Calculations based on continuous model including exchange and dipole interactions were performed for structures feasible…

Mesoscale and Nanoscale Physics · Physics 2015-08-19 J. Rychły , J. W. Kłos , M. Mruczkiewicz , M. Krawczyk

We consider a Heisenberg antiferromagnet on the Penrose tiling, a quasiperiodic system having an inhomogeneous Neel-ordered ground state. Spin wave energies and wavefunctions are studied in the linear spin wave approximation. A linear…

Strongly Correlated Electrons · Physics 2008-04-01 Attila Szallas , Anuradha Jagannathan

Quasiperiodic structures possess long range positional order, but are freed of constraints imposed by translational invariance. For spins interacting via Heisenberg couplings, one may expect therefore to find novel magnetic configurations…

Strongly Correlated Electrons · Physics 2008-10-15 Anuradha Jagannathan , Attila Szallas

Quasicrystals possess long-range order but lack the translational symmetry of crystalline solids. In solid state physics, periodicity is one of the fundamental properties that prescribes the electronic band structure in crystals. In the…

Mesoscale and Nanoscale Physics · Physics 2017-07-21 Laura C. Collins , Thomas G. Witte , Rochelle Silverman , David B. Green , Kenjiro K. Gomes

Magnonic quasicrystals exceed the possibilities of spin wave (SW) manipulation offered by regular magnonic crystals, because of their more complex SW spectra with fractal characteristics. Here, we report the direct x-ray microscopic…

We have investigated surface spin wave states in one-dimensional planar bi-component magnonic crystals, localized on the surfaces resulting from the breaking of the periodic structure. The two systems have been considered: the magnonic…

Computational Physics · Physics 2019-04-16 Justyna Rychły , Jarosław Wojciech Kłos

Employing the spin-wave formalism within and beyond the harmonic-oscillator approximation, we study the dynamic structure factors of spin-$\frac{1}{2}$ nearest-neighbor quantum Heisenberg antiferromagnets on two-dimensional quasiperiodic…

Strongly Correlated Electrons · Physics 2024-08-05 Shoji Yamamoto , Takashi Inoue

We investigated the lifetime of spin wave eigenmodes in periodic and quasiperiodic sequences of Py and Co wires. Those materials differ significantly in damping coefficients, therefore, the spatial distribution of the mode amplitude within…

Mesoscale and Nanoscale Physics · Physics 2019-03-05 J. Rychły , J. W. Kłos , M. Krawczyk

The Penrose tiling is a perfectly ordered two dimensional structure with fivefold symmetry and scale invariance under site decimation. Quantum spin models on such a system can be expected to differ significantly from more conventional…

Strongly Correlated Electrons · Physics 2011-11-10 Anuradha Jagannathan , Attila Szallas , Stefan Wessel , Michel Duneau

We report on the evolution of the spin-wave spectrum under structural disorder introduced intentionally into one-dimensional magnonic quasicrystal. We study theoretically a system composed of ferromagnetic strips arranged in a Fibonacci…

Mesoscale and Nanoscale Physics · Physics 2022-09-14 Szymon Mieszczak , Maciej Krawczyk , Jarosław W. Kłos

Based on Monte-Carlo simulations, the stable magnetization configurations of an antiferromagnet on a quasiperiodic tiling are derived theoretically. The exchange coupling is assumed to decrease exponentially with the distance between…

Disordered Systems and Neural Networks · Physics 2007-05-23 E. Y. Vedmedenko , U. Grimm , R. Wiesendanger

We study electronic eigenstates on quasiperiodic lattices using a tight-binding Hamiltonian in the vertex model. In particular, the two-dimensional Penrose tiling and the three-dimensional icosahedral Ammann-Kramer tiling are considered.…

Disordered Systems and Neural Networks · Physics 2009-10-31 Thomas Rieth , Uwe Grimm , Michael Schreiber

Quasicrystals lack translational symmetry, but can still exhibit long-ranged order, promoting them to candidates for unconventional physics beyond the paradigm of crystals. Here, we apply a real-space functional renormalization group…

Strongly Correlated Electrons · Physics 2024-04-23 Jonas B. Profe , Carsten Honerkamp , Sebastian Achilles , Dante M. Kennes

Spin waves are collective perturbations in the orientation of the magnetic moments in magnetically ordered materials. Their rich phenomenology is intrinsically three-dimensional; however, the three-dimensional imaging of spin waves has so…

An efficient way for the control of spin wave propagation in a magnetic medium is the use of periodic patterns known as magnonic crystals (MCs). However, the fabrication of MCs especially bi-components, with periodicity on nanoscale, is a…

Mesoscale and Nanoscale Physics · Physics 2017-09-20 M. Mruczkiewicz , P. Graczyk , P. Lupo , A. Adeyeye , G. Gubbiotti , M. Krawczyk

We study impacts of spin-orbit interactions on the spin susceptibility in quasicrystal superconductors, motivated by the anomolous superconducting properties in the van der Waals quasicrystal Ta$_{1.6}$Te under magnetic fields. We consider…

Superconductivity · Physics 2025-12-18 Yasuhiro Tada

Since their spectacular experimental realisation in the early 80's, quasicrystals have been the subject of very active research, whose domains extend far beyond the scope of solid state physics. In optics, for instance, photonic…

Mesoscale and Nanoscale Physics · Physics 2016-03-02 Patrizia Vignolo , Matthieu Bellec , Julian Boehm , Abdoulaye Camara , Jean-Marc Gambaudo , Ulrich Kuhl , Fabrice Mortessagne

Based on Monte Carlo calculations, multipolar ordering on the Penrose tiling, relevant for two-dimensional molecular adsorbates on quasicrystalline surfaces and for nanomagnetic arrays, has been analyzed. These initial investigations are…

Materials Science · Physics 2009-11-13 E. Y. Vedmedenko , Shahar Even-Dar Mandel , Ron Lifshitz

Self-similar quasicrystals (like the famous Penrose and Ammann-Beenker tilings) are exceptional geometric structures in which long-range order, quasiperiodicity, non-crystallographic orientational symmetry, and discrete scale invariance are…

High Energy Physics - Theory · Physics 2026-02-13 Latham Boyle , Sotirios Mygdalas

We find novel confined states in the spin-$S$ nearest-neighbor antiferromagnetic Heisenberg model on the two-dimensional Penrose lattice. Linear spin waves have massively degenerate eigenstates strictly confined to tricoordinated sites.…

Strongly Correlated Electrons · Physics 2026-05-26 Takashi Inoue , Shoji Yamamoto
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