Results 31 to 40 of about 1,632 (118)

Localized and Extended Phases in Square Moiré Patterns

Annalen der Physik, Volume 537, Issue 6, June 2025.
Rotated superimposed lattices in two dimensions, the termed moiré patterns, represent a clear example of how the structure affects the physical properties of a particle moving on it. A robust numerical treatment of continuous and discrete models leads to confirm that while localized states result from angles that produce non‐commensurable lattices ...
C. Madroñero, G. A. Domínguez‐Castro, R. Paredes   +2 more
wiley   +1 more source

High-temperature expansion for Ising models on quasiperiodic tilings

, 1999
We consider high-temperature expansions for the free energy of zero-field Ising models on planar quasiperiodic graphs. For the Penrose and the octagonal Ammann-Beenker tiling, we compute the expansion coefficients up to 18th order.
Grimm, Uwe, Repetowicz, Przemyslaw, Schreiber, Michael   +2 more
core   +1 more source

Hexagonal and Trigonal Quasiperiodic Tilings

Israel Journal of Chemistry, Volume 64, Issue 10-11, November 2024.
Abstract Exploring nonminimal‐rank quasicrystals, which have symmetries that can be found in both periodic and aperiodic crystals, often provides new insight into the physical nature of aperiodic long‐range order in models that are easier to treat. Motivated by the prevalence of experimental systems exhibiting aperiodic long‐range order with hexagonal ...
Sam Coates, Akihisa Koga, Toranosuke Matsubara, Ryuji Tamura, Hem Raj Sharma, Ronan McGrath, Ron Lifshitz   +6 more
wiley   +1 more source

Isotropic properties of the photonic band gap in quasicrystals with low-index contrast

, 2011
We report on the formation and development of the photonic band gap in two-dimensional 8-, 10- and 12-fold symmetry quasicrystalline lattices of low index contrast.
Abbate, G., Andreone, A., Di Gennaro, E., Rose, Priya   +3 more
core   +1 more source

Ising Spins on Frustrated Bronze‐Mean Hexagonal Quasicrystal

Israel Journal of Chemistry, Volume 64, Issue 10-11, November 2024.
Abstract We investigate the Ising model on the Bronze‐mean hexagonal quasicrystal (BMH QC), an aperiodic tiling with geometric frustration. Our extensive Monte Carlo simulations explore the model's rich phase diagram, revealing six distinct phases with diverse magnetic properties and degrees of frustration. We uncover exotic spin glass phases, signaled
Pratyay Ghosh
wiley   +1 more source

Local Rules for Computable Planar Tilings

, 2012
Aperiodic tilings are non-periodic tilings characterized by local constraints. They play a key role in the proof of the undecidability of the domino problem (1964) and naturally model quasicrystals (discovered in 1982).
Enrico Formenti, Mathieu Sablik, Thomas Fernique   +2 more
core   +3 more sources

Scanning Tunnelling Microscopy Studies of Tsai‐Type Quasicrystal Approximants

Israel Journal of Chemistry, Volume 64, Issue 10-11, November 2024.
Abstract We review scanning tunnelling microscopy (STM) studies of the surfaces of periodic Tsai‐type approximants. Although they are useful analogues to the Tsai‐type quasicrystals, the surfaces of these periodic approximants behave in subtly different and often more complex ways when compared to their quasiperiodic cousins.
Sam Coates, Dominic Burnie, Hem Raj Sharma, Ronan McGrath   +3 more
wiley   +1 more source

Hybrid photonic-bandgap accelerating cavities

, 2009
In a recent investigation, we studied two-dimensional point-defected photonic bandgap cavities composed of dielectric rods arranged according to various representative periodic and aperiodic lattices, with special emphasis on possible applications to ...
, , A Andreone, C Zannini, Chigrin D N, Cowan B Javanmard M Siemann R, Della Villa A, E Di Gennaro, G Castaldi, I Gallina, M R Masullo, Maciá  E, Masullo M Andreone A Di Gennaro E Francomacaro F Lamura G Palmieri V Tonini D Panniello M Vaccaro V, Masullo M R, S Savo, Senechal M, Steurer W, Taflove A, V Galdi   +18 more
core   +1 more source

Approximations of Symbolic Substitution Systems in One Dimension

Israel Journal of Chemistry, Volume 64, Issue 10-11, November 2024.
Abstract Periodic approximations of quasicrystals are a powerful tool in analyzing spectra of Schrödinger operators arising from quasicrystals, given the known theory for periodic crystals. Namely, we seek periodic operators whose spectra approximate the spectrum of the limiting operator (of the quasicrystal).
Lior Tenenbaum
wiley   +1 more source

Parameterizing Quasiperiodicity: Generalized Poisson Summation and Its Application to Modified-Fibonacci Antenna Arrays

, 2005
The fairly recent discovery of "quasicrystals", whose X-ray diffraction patterns reveal certain peculiar features which do not conform with spatial periodicity, has motivated studies of the wave-dynamical implications of "aperiodic order".
Castaldi, Giuseppe, Felsen, Leopold B., Galdi, Vincenzo, Pierro, Vincenzo, Pinto, Innocenzo M.   +4 more
core   +2 more sources