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Inspired by the unique properties of graphene, the focus in the literature is now on investigations of various two-dimensional (2D) materials with the aim to explore their properties for future applications. The group IV analogues of…

Materials Science · Physics 2020-03-24 J. Shah , H. M. Sohail , R. I. G. Uhrberg , W. Wang

The existence of stable solitons in two- and three-dimensional (2D and 3D) media governed by the self-focusing cubic nonlinear Schr\"{o}dinger equation with a periodic potential is demonstrated by means of the variational approximation (VA)…

Soft Condensed Matter · Physics 2009-11-10 B. B. Baizakov , B. A. Malomed , M. Salerno

Two-dimensional (2D) black phosphorus (i.e., phosphorene) has become a rising star in electronics. Recently, 2D phosphorus oxides with higher stability have been synthesized. In this work, we systematically explore the structures and…

Materials Science · Physics 2016-05-11 Wei Luo , Hongjun Xiang

Owing to the fascinating physical characteristics of two-dimensional (2D) materials and their heterostructure, much effort has been devoted to exploring their basic physical properties as well as discovering other novel 2D materials.…

Materials Science · Physics 2020-07-13 Seungjun Lee , Young-Kyun Kwon

A new two-dimensional (2D) material, borophene (2D boron sheet), has been grown successfully recently on single crystal Ag substrates by two parallel experiments [Mannix \textit{et al., Science}, 2015, \textbf{350}, 1513] [Feng \textit{et…

Materials Science · Physics 2017-03-22 Bo Peng , Hao Zhang , Hezhu Shao , Zeyu Ning , Yuanfeng Xu , Hongliang Lu , David Wei Zhang , Heyuan Zhu

The electronic band structure of crystals is generally influenced by the periodic arrangement of their constituent atoms. Specifically, the emerging two-dimensional (2D) layered structures have shown different band structures with respect…

Materials Science · Physics 2017-01-04 Seho Yi , Jin-Ho Choi , Kimoon Lee , Sung Wng Kim , Chul Hong Park , Jun-Hyung Cho

The band structure in phononic crystals (PCs) is usually affected by the deformations of their soft components. In this work, hyperelastic transformation media is proposed to be integrated in the PCs'design, to achieve stable elastic…

Materials Science · Physics 2016-10-14 Yan Liu , Zheng Chang , Xi-Qiao Feng

We discuss existence and stability of two-dimensional solitons in media with spatially nonlocal nonlinear response. We show that such systems, which include thermal nonlinearity and dipolar Bose Einstein condensates, may support a variety…

Pattern Formation and Solitons · Physics 2007-05-23 S. Skupin , O. Bang , D. Edmundson , W. Krolikowski

Customarily, in-plane auxeticity and synclastic bending behavior (i.e. out-of-plane auxeticity) are not independent, being the latter a manifestation of the former. Basically, this is a feature of three-dimensional bodies. At variance,…

Applied Physics · Physics 2017-11-22 Cesare Davini , Antonino Favata , Andrea Micheletti , Roberto Paroni

In realizing practical non-trivial topological electronic phases stable structures need to be determined first. Tin and lead do stabilize an optimal two-dimensional high-buckled phase --a hexagonal-close packed bilayer structure with…

Mesoscale and Nanoscale Physics · Physics 2014-12-10 Pablo Rivero , Jia-An Yan , Victor M. Garcia-Suarez , Jaime Ferrer , Salvador Barraza-Lopez

Although metallic elements favor three-dimensional (3D) geometries due to their isotropic, metallic bonding, experiments have reported metals also with two-dimensional (2D) allotropes, the so-called metallenes. And while bulk metals'…

Materials Science · Physics 2025-02-25 Kameyab Raza Abidi , Pekka Koskinen

We propose a fast method to determine the local curvature in two-dimensional (2D) systems with arbitrary shape. The curvature information, combined with elastic constants obtained for a planar system, provides an accurate estimate of the…

Materials Science · Physics 2014-12-02 Jie Guan , Zhongqi Jin , Zhen Zhu , Chern Chuang , Bih-Yaw Jin , David Tománek

By means of group theory, topological quantum chemistry, first-principles and Monte Carlo calculations, we analyze the topology of the 2D buckled honeycomb lattice phonon spectra. Taking the pure crystal structure as an input, we show that…

Materials Science · Physics 2026-05-15 Martin Gutierrez-Amigo , Maia G. Vergniory , Ion Errea , J. L. Mañes

This concise review aims to provide a summary of the most relevant recent experimental and theoretical results for solitons, i.e., self-trapped bound states of nonlinear waves, in two- and three-dimensional (2D and 3D) media. In comparison…

Pattern Formation and Solitons · Physics 2023-12-29 Boris A. Malomed

Motivated by experimental and numerical studies revealing that discoidal high-density lipoprotein (HDL) particles may adopt flat elliptical and nonplanar saddle-like configurations, it is hypothesized that these might represent stabilized…

Soft Condensed Matter · Physics 2013-07-23 Mohsen Maleki , Eliot Fried

New allotropes of two-dimensional (2D) GaP and InP binary compounds were predicted from the structural optimization and dynamical stability analysis in the framework of the density functional calculations. These stabilized GaP and InP…

Materials Science · Physics 2018-02-14 C. Y. Zhang , M. Yu

The alkali halides, known as ionic crystals, have the NaCl-type or CsCl-type structure as the ground state. We study the structural, vibrational, and electronic properties of two-dimensional (2D) ionic crystals from first-principles. Two…

Materials Science · Physics 2022-09-14 Shota Ono

Two-dimensional (2D) materials have garnered significant attention due to their unique properties and broad application potential. Building on the success of goldene, a monolayer lattice of gold atoms, we explore its proposed silver and…

We investigate the energetic ground states of a model two-phase system with 1/r^3 dipolar interactions in two dimensions. The model exhibits spontaneous formation of two kinds of periodic domain structure. A striped domain structure is…

Condensed Matter · Physics 2009-10-28 Kwok-On Ng , David Vanderbilt

Two-dimensional (2D) materials can be used as stabilizing templates for exotic nanostructures, including pore-stabilized, free-standing patches of elemental metal monolayers. Although these patches represent metal clusters under extreme…

Mesoscale and Nanoscale Physics · Physics 2019-11-20 Janne Nevalaita , Pekka Koskinen