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Solitons in the fractional space, supported by lattice potentials, have recently attracted much interest. We consider the limit of deep one- and two-dimensional (1D and 2D) lattices in this system, featuring finite bandgaps separated by…

Optics · Physics 2022-01-10 Xiuye Liu , Boris A. Malomed , Jianhua Zeng

The vibrational properties of two-dimensional phononic crystals are studied with large-scale molecular dynamics simulations and finite element method calculation. The vibrational band structure derived from the molecular dynamics…

Materials Science · Physics 2017-11-28 Ralf Meyer

Most two-dimensional (2D) materials experimentally studied so far have hexagons as their building blocks. Only a few exceptions, such as PdSe2, are lower in energy in pentagonal phases and exhibit pentagons as building blocks. While theory…

This work proposes a new efficient approach for calculating the bending stiffness of two-dimensional materials using simple atomistic tests on small periodic unit cells. The tests are designed such that bending deformations are dominating…

Materials Science · Physics 2022-12-23 Farzad Shirazian , Roger A. Sauer

We performed an extensive first-principles study of nanowires in various pentagonal structures by using pseudopotential plane wave method within the density functional theory. Our results show that nanowires of different types of elements,…

Materials Science · Physics 2009-11-07 Prasenjit Sen , O. Gulseren , T. Yildirim , Inder P. Batra , S. Ciraci

It has been widely accepted that planar boron structures, composed of triangular and hexagonal motifs are the most stable two dimensional (2D) phases and likely precursors for boron nanostructures. Here we predict, based on ab initio…

Materials Science · Physics 2014-02-28 Xiang-Feng Zhou , Xiao Dong , Artem R. Oganov , Qiang Zhu , Yongjun Tian , Hui-Tian Wang

Flat-band periodic materials are characterized by a linear spectrum containing at least one band where the propagation constant remains nearly constant irrespective of the Bloch momentum across the Brillouin zone. These materials provide a…

Pattern Formation and Solitons · Physics 2024-09-24 Shuang Shen , Yiqi Zhang , Yaroslav V. Kartashov , Yongdong Li , Vladimir V. Konotop

Two-dimensional (2D) honeycomb photonic crystals with cylinders and connecting walls have the potential to have a large full band gap. In experiments, 2D photonic crystals do not have an infinite height, and therefore, we investigate the…

Materials Science · Physics 2015-06-25 Tai-I Weng , G. Y. Guo

We investigate the stability properties of breather soliton trains in a three-dimensional Bose-Einstein Condensate with Feshbach Resonance Management of the scattering length. This is done so as to generate both attractive and repulsive…

Other Condensed Matter · Physics 2007-05-23 M. Matuszewski , E. Infeld , G. Rowlands , M. Trippenbach

Within periodic materials and structures, wave scattering and dispersion occur across constituent material interfaces leading to a banded frequency response. In an earlier paper, the elastodynamics of one-dimensional periodic materials and…

Materials Science · Physics 2023-12-19 M. I. Hussein , G. M. Hulbert , R. A. Scott

Group theory and density functional theory methods are combined to obtain compact and accurate $k\cdot p$ Hamiltonians that describe the bandstructures around the $K$ and $\Gamma$ points for the 2D material hexagonal boron arsenide (h-BAs)…

Mesoscale and Nanoscale Physics · Physics 2019-05-28 Mathias Rosdahl Brems , Morten Willatzen

Experimental phonon imaging in diamond anvils cell is demonstrated to be an adequate tool to extract the complete set of elastic constants of single-crystalline silicon up to the ZB$\rightarrow \beta-$Sn transition (10 GPa). Contrary to…

Materials Science · Physics 2015-05-19 F. Decremps , L. Belliard , M. Gauthier , B. Perrin

The quest for novel designs for lightweight phononic crystals and elastic metamaterials with wide lowfrequency band gaps has proven to be a significant challenge in recent years. In this context, lattice-type materials represent a promising…

Applied Physics · Physics 2022-10-21 Vinícius F. Dal Poggetto , Federico Bosia , Marco Miniaci , Nicola M. Pugno

We introduce a model of media with the cubic attractive nonlinearity concentrated along a single or double stripe in the two-dimensional (2D) plane. The model can be realized in terms of nonlinear optics (in the spatial and temporal domains…

Pattern Formation and Solitons · Physics 2010-06-21 Nguyen Viet Hung , Pawe\lZiń , Marek Trippenbach , Boris A. Malomed

In this work, we reconsider the study of 2D materials involving double lattice structures associated with periodic polygons. In tessellated periodic representation, it appears two periodic polygons of $k$ sides of unequal side lengths at…

Materials Science · Physics 2019-05-30 Adil Belhaj , Salah Eddine Ennadifi

Monolayer structures made up of purely one kind of atoms are fascinating. Many kinds of honeycomb systems including carbon, silicon, germanium, tin, phosphorus and arsenic have been shown to be stable. However, so far the structures are…

Mesoscale and Nanoscale Physics · Physics 2015-08-25 C. Kamal , Aparna Chakrabarti , Motohiko Ezawa

Recent experimental synthesis of two-dimensional (2D) heterostructures opens a door to new opportunities in tailoring the electronic properties for novel 2D devices. Here, we show that a wide range of lateral 2D heterostructures could have…

Computational Physics · Physics 2016-12-30 Junfeng Zhang , Weiyu Xie , Jijun Zhao , Shengbai Zhang

Two-dimensional (2D) materials with a Lieb lattice can host exotic electronic band structures. Such a system does not exist in nature, and it is also difficult to obtain in the laboratory due to its structural instability. Here, we…

Materials Science · Physics 2020-04-22 Haifeng Feng , Chen Liu , Si Zhou , Nan Gao , Qian Gao , Jincheng Zhuang , Xun Xu , Zhenpeng Hu , Jiaou Wang , Lan Chen , Jijun Zhao , Yi Du

The suitability of a range of interatomic potentials for elemental tin was evaluated in order to identify an appropriate potential for modeling the stanene (2D tin) allotropes. Structural and mechanical properties of the flat (F),…

Chemical Physics · Physics 2025-01-15 Marcin Maździarz

In this work we consider the well posed version of the Kaup-Broer-Kuperschmidt system in two dimensions. We numerically construct soliton type solutions and show that they are unstable both against dispersion and singularity formation.…

Analysis of PDEs · Mathematics 2026-05-07 Théo Gaudry , Christian Klein , Jean-Claude Saut , Nikola Stoilov