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We present a formalism for studying the radiation-matter interaction in multilayered dielectric structures with active semiconductor quantum wells patterned with an in-plane periodic lattice. The theory is based on the diagonalization of…

Mesoscale and Nanoscale Physics · Physics 2022-09-22 Simone Zanotti , Hai Son Nguyen , Momchil Minkov , Lucio Claudio Andreani , Dario Gerace

A new model of crystal growth is presented that describes the phenomena on atomic length and diffusive time scales. The former incorporates elastic and plastic deformation in a natural manner, and the latter enables access to times scales…

Materials Science · Physics 2009-11-07 K. R. Elder , Mark Katakowski , Mikko Haataja , Martin Grant

A lattice-Boltzmann (LB) scheme, based on the Bhatnagar-Gross-Krook (BGK) collision rules is developed for a phase-field model of alloy solidification in order to simulate the growth of dendrites. The solidification of a binary alloy is…

Computational Physics · Physics 2017-07-26 Alain Cartalade , Amina Younsi , Mathis Plapp

We propose an experiment to obtain the phase diagram of the fermionic Hubbard model, for any dimensionality, using cold atoms in optical lattices. It is based on measuring the total energy for a sequence of trap profiles. It combines…

Other Condensed Matter · Physics 2007-12-13 Vivaldo L. Campo , Klaus Capelle , Jorge Quintanilla , Chris Hooley

This paper describes how one can use four standing wave laser fields to realize a two dimensional optical quasicrystal with eight-fold symmetry, closely related to the well-known octagonal or Ammann-Beenker tiling quasicrystal. We describe…

Quantum Gases · Physics 2023-07-19 Anuradha Jagannathan , Michel Duneau

The phase-field crystal model is by now widely used in order to predict crystal nucleation and growth. For colloidal solidification with completely overdamped individual particle motion, we show that the phase-field crystal dynamics can be…

Soft Condensed Matter · Physics 2009-05-28 Sven van Teeffelen , Rainer Backofen , Axel Voigt , Hartmut Löwen

A model is presented to explain the normal mode features of dust particles in a planar zigzag crystal chain for the first and second neighbors. The degrees of freedom of particles are the longitudinal and transverse displacements in plane…

Plasma Physics · Physics 2020-01-28 A. Abdikian , Zahida Ehsan

We study the structural correlations and the nonlinear response to a driving force of a two-dimensional phase-field-crystal model with random pinning. The model provides an effective continuous description of lattice systems in the presence…

Statistical Mechanics · Physics 2011-09-02 E. Granato , J. A. P. Ramos , C. V. Achim , J. Lehikoinen , S. C. Ying , T. Ala-Nissila , K. R. Elder

Here, we investigate the fractal-lattice Hubbard model using various numerical methods: exact diagonalization, the self-consistent diagonalization of a (mean-field) Hartree-Fock Hamiltonian and state-of-the-art Auxiliary-Field Quantum Monte…

Strongly Correlated Electrons · Physics 2024-09-18 Monica Conte , Vinicius Zampronio , Malte Röntgen , Cristiane Morais Smith

Despite their success in microscale modeling of materials, atomistic methods are still limited by short time scales, small domain sizes, and high strain rates. Multiscale formulations can capture the continuum-level response of solids over…

Materials Science · Physics 2022-09-23 Alexander S. Davis , Vinamra Agrawal

Nematic drops suspended in the isotropic phase of the same substance were subjected to alternating electrical fields of varying frequency. The system was carefully kept in the isotropic-nematic coexistance region, which was broadened due to…

Soft Condensed Matter · Physics 2009-03-27 Günter K. Auernhammer , Jinyu Zhao , Beate Ullrich , Doris Vollmer

In the phase-field modeling of brittle fracture, anisotropic constitutive assumptions for the degradation of stored elastic energy due to fracture are crucial to preventing cracking in compression and obtaining physically sound numerical…

Numerical Analysis · Mathematics 2018-05-22 Fei Zhang , Weizhang Huang , Xianping Li , Shicheng Zhang

Linear and nonlinear mechanisms for conical wave propagation in two-dimensional lattices are explored in the realm of phononic crystals. As a prototypical example, a statically compressed granular lattice of spherical particles arranged in…

Pattern Formation and Solitons · Physics 2016-02-17 C. Chong , P. G. Kevrekidis , M. J. Ablowitz , Yi-Ping Ma

A continuum model of crystalline solid equilibrium is presented in which the underlying periodic lattice structure is taken explicitly into account. This model also allows for both point and line defects in the bulk of the lattice and at…

Materials Science · Physics 2009-10-31 Paolo Cermelli , Shaun Sellers

Lattice imaging facilitates digital implementation of optical darkfield strategies that have for decades played a key role in the conventional electron microscopy of materials. Applications to the microscopy of periodic structures are…

Materials Science · Physics 2017-05-24 P. Fraundorf

Ultracold atom-traps on a chip enhances the practical application of atom traps in quantum information processing, sensing, and metrology. Plasmon mediated near-field optical potentials are promising for trapping atoms. The combination of…

We use the phase field crystal model to study nucleation of edge dislocations in two dimensions under an applied stress field. A dislocation dipole nucleates under the applied stress, consistent with Burgers vector conservation. The phase…

Materials Science · Physics 2021-01-20 Vidar Skogvoll , Audun Skaugen , Luiza Angheluta , Jorge Viñals

We consider a system of particles interacting via a purely repulsive, soft-core potential recently introduced to model effective pair interactions between dendrimers, which is expected to lead to the formation of crystals with multiple…

Soft Condensed Matter · Physics 2015-05-11 Davide Pini

Modeling hydrogen diffusion and its absorption in traps is a fundamental first step towards the understanding and prediction of hydrogen embrittlement. In this study, a multiscale approach which includes DFT simulations, OkMC, and…

Materials Science · Physics 2025-12-22 Gonzalo Álvarez , Álvaro Ridruejo , Javier Segurado