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We propose a quantum-mechanical dimensionless metric, the local$-$lattice distortion (LLD), as a reliable predictor of ductility in refractory multi-principal-element alloys (RMPEAs). The LLD metric is based on electronegativity differences…

We propose and study theoretically a new mechanism of electron-impurity scattering in doped seminconductors with large dielectric constant. It is based upon the idea of \textit{vector} character of deformations caused in the crystalline…

Mesoscale and Nanoscale Physics · Physics 2022-09-26 Khachatur G. Nazaryan , Mikhail Feigel'man

The modified discrete nonlinear Schr\"odinger equation is used to study the formation of stationary localized states in a one-dimensional lattice with a single impurity and an asymmetric dimer impurity. A periodically modulated and a…

Disordered Systems and Neural Networks · Physics 2015-06-25 Bikash C. Gupta , Sang Bub Lee

The two-dimensional Kondo lattice model with both nearest and next-nearest neighbor exchange interactions is studied within a mean-field approach and its phase diagram is determined. In particular, we allow for lattice translation symmetry…

Strongly Correlated Electrons · Physics 2007-05-23 Angsula Ghosh , E. Miranda

In recent years, liquid metal dealloying (LMD) has emerged as a promising material processing method to generate micro and nano-scale bicontinuous or porous structures. Most previous studies focused on the experimental characterization of…

Materials Science · Physics 2022-09-27 Longhai Lai , Pierre-Antoine Geslin , Alain Karma

Control of order-disorder phase transitions is a fundamental materials science challenge, underpinning the development of energy storage technologies such as solid oxide fuel cells and batteries, ultra-high temperature ceramics, and durable…

Even if the atoms of a multicomponent alloy occupy a common lattice, their distribution is not homogeneous, and regions with different compositions can be detected. Three representative examples will be discussed: a Cantor-type system…

Materials Science · Physics 2026-05-12 Vaclav Paidar , Pavel Lejcek , Andrea Skolakova

We study the nonlinear stage of the modulation instability of a condensate in the framework of the focusing Nonlinear Schr\"{o}dinger Equation. We find a general N-solitonic solution of the focusing NLSE in the presence of a condensate by…

Exactly Solvable and Integrable Systems · Physics 2013-08-09 V. E. Zakharov , A. A. Gelash

Semimetal molybdenum ditelluride (1T'-MoTe$_2$) possess diverse phase transitions enriching its application prospects. The structural response during these transitions is crucial to understanding the underlying mechanisms, but the desired…

Materials Science · Physics 2025-05-28 Zhong Wang , Chunlong Hu , Changchang Gong , Fuyong Hua , Qian You , Wenxi Liang

We study the application of a square perturbing lattice to the naturally forming hexagonal arrays of dipolar droplets in a dipolar Bose-Einstein condensate. We find that the application of the lattice causes spontaneous pattern formation…

Quantum Gases · Physics 2023-04-26 Eli J. Halperin , Shai Ronen , J. L. Bohn

We have investigated self-bound binary ultra dilute bosonic mixtures at zero temperature within Density Functional Theory using a Local Density Approximation. We provide the explicit expression of the Lee-Huang-Yang correction in the…

Quantum Gases · Physics 2018-11-28 Francesco Ancilotto , Manuel Barranco , Montserrat Guilleumas , Marti Pi

We consider numerical instability that can be observed in simulations of localized solutions of the generalized nonlinear Schr\"odinger equation (NLS) by a split-step method where the linear part of the evolution is solved by a…

Pattern Formation and Solitons · Physics 2014-10-15 Taras I. Lakoba

For both the cubic Nonlinear Schr\"odinger Equation (NLS) as well as the modified Korteweg-de Vries (mKdV) equation in one space dimension we consider the set ${\bf M}_N$ of pure $N$-soliton states, and their associated multisoliton…

Analysis of PDEs · Mathematics 2020-09-01 Herbert Koch , Daniel Tataru

While 2D materials attract considerable interests for their exotic electronic and mechanical properties, their phase behaviour is still largely not understood. This work focuses on (Mo:Ti)S$_2$ binary alloys which have captured the interest…

Materials Science · Physics 2021-06-15 Andrea Silva , Tomas Polcar , Denis Kramer

We study the nonlinear dynamics of perturbed, spectrally stable $T$-periodic stationary solutions of the Lugiato-Lefever equation (LLE), a damped nonlinear Schr\"odinger equation with forcing that arises in nonlinear optics. It is known…

Analysis of PDEs · Mathematics 2024-09-24 Mariana Haragus , Mathew A. Johnson , Wesley R. Perkins , Björn de Rijk

The emergence of localised vibrations in cyclic and symmetric rotating structures, such as bladed disks of aircraft engines, has challenged engineers in the past few decades. In the linear regime, localised states may arise due to a lack of…

Pattern Formation and Solitons · Physics 2018-09-26 Filipe Fontanela , Aurelien Grolet , Loic Salles , Amin Chabchoub , Alan Champneys , Sophoclis Patsias , Norbert Hoffmann

Cation-disordered solids offer a rich chemical landscape where local coordination, lattice responses, and configurational disorder collectively, yet often implicitly, govern ion transport. In cation-disordered rocksalt oxides, Li+ diffusion…

We study a lattice version of the local density approximation (LDA) based on Behte ansatz (BALDA). Contrary to what happens in Density Functional Theory (DFT) in the continuum and despite its name, BALDA displays some very non-local…

Strongly Correlated Electrons · Physics 2015-06-11 Zu-Jian Ying , Valentina Brosco , José Lorenzana

The interplay between topology and interaction always plays an important role in condensed matter physics and induces many exotic quantum phases, while rare transition metal layered material (TMLM) has been proved to possess both. Here we…

Moir\'e superlattice systems such as transition metal dichalcogenide heterobilayers have garnered significant recent interest due to their promising utility as tunable solid state simulators. Recent experiments on a WSe$_2$/WS$_2$…

Strongly Correlated Electrons · Physics 2022-12-14 Michael Matty , Eun-Ah Kim