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The description of the behavior of a material subjected to multi-physics loadings requires the formulation of constitutive laws that usually derive from Gibbs free energies, using invariant quantities depending on the considered physics and…

Computational Engineering, Finance, and Science · Computer Science 2023-06-14 Julien Taurines , Boris Kolev , Rodrigue Desmorat , Olivier Hubert

In this paper a systematic approach to the design of bulk isotropic magnetic metamaterials is presented. The role of the symmetries of both the constitutive element and the lattice are analyzed. For this purpose it is assumed that the…

Optics · Physics 2014-09-10 J. D. Baena , L. Jelinek , R. Marques

In the paper a self-consistent theoretical description of the lattice and magnetic properties of a model system with magnetoelastic interaction is presented. The dependence of magnetic exchange integrals on the distance between interacting…

Statistical Mechanics · Physics 2016-12-07 T. Balcerzak , K. Szałowski , M. Jaščur

In this study, we show that any system consisting of magnetic dipoles forming ordered or disordered configurations can be simplified to a form mathematically equivalent to a system consisting of two magnetic dipoles. It is shown that the…

Materials Science · Physics 2014-02-05 Igor Dimitrov , Ulaş Dinç

The authors present a quantity termed charge-spin susceptibility, which measures the charge response to spin degrees of freedom in strongly correlated materials. This quantity is simple to evaluate using both standard density functional…

Superconductivity · Physics 2021-02-23 J. N. B. Rodrigues , Lucas K. Wagner

Spin space groups, formed by operations where the rotation of the spins is independent of the accompanying operation acting on the crystal structure, are appropriate groups to describe the symmetry of magnetic structures with null…

Materials Science · Physics 2025-07-25 Jesus Etxebarria , J. Manuel Perez-Mato , Emre S. Tasci , Luis Elcoro

We present a straightforward analytical-numerical methodology for determining polynomially complete and irreducible scalar-valued invariant sets for anisotropic hyperelasticity. By applying the proposed technique, we obtain irreducible…

Although superspace formalism has become the standard approach for the analysis of structurally modulated crystals, it has remained during the last thirty years almost unexplored as a practical tool to deal with magnetic incommensurate…

Materials Science · Physics 2015-05-28 J. M. Perez-Mato , J. L. Ribeiro , V. Petricek , M. I. Aroyo

Based on high-throughput density functional theory calculations, we performed screening for stable magnetic MAB compounds and predicted potential strong magnets for permanent magnet and magnetocaloric applications. The thermodynamical,…

Recent studies identified spin-order-driven phenomena such as spin-charge interconversion without relying on the relativistic spin-orbit interaction. Those physical properties can be prominent in systems containing light magnetic atoms due…

Materials Science · Physics 2024-04-01 Hikaru Watanabe , Kohei Shinohara , Takuya Nomoto , Atsushi Togo , Ryotaro Arita

We prove by means of a renormalization group method that in weakly interacting many-electron systems at half-filling on a periodic hyper-cubic lattice, the free energy density uniformly converges to an analytic function of the coupling…

Mathematical Physics · Physics 2016-12-19 Yohei Kashima

Low-dimensional quantum magnets are a versatile materials platform for studying the emergent many-body physics and collective excitations that can arise even in systems with only short-range interactions. Understanding their low-temperature…

The present work is concerned with the issue of spurious coupling effects that are pervasive in fully coupled magneto-mechanical finite element simulations involving very soft non-magnetic or air-like media. We first address the…

Numerical Analysis · Mathematics 2023-02-01 Matthias Rambausek , Joachim Schöberl

As a service for the solid mechanics community we gather in this paper constitutive properties of a collective list of isotropic elastic energies for compressible materials. Of interest to us are the invertibility and monotonicity of…

Classical Physics · Physics 2025-09-03 Ionel-Dumitrel Ghiba , Robert Martin , Marius Apetrii , Patrizio Neff

Soft composite solids are made of inclusions dispersed within soft matrices. They are ubiquitous in nature and form the basis of many biological tissues. In the field of materials science, synthetic soft composites are promising candidates…

Soft Condensed Matter · Physics 2024-06-14 Yiqiu Zhao , Haitao Hu , Yulu Huang , Hanqing Liu , Caishan Yan , Chang Xu , Rui Zhang , Yifan Wang , Qin Xu

In the present work, a machine learning based constitutive model for electro-mechanically coupled material behavior at finite deformations is proposed. Using different sets of invariants as inputs, an internal energy density is formulated…

Computational Engineering, Finance, and Science · Computer Science 2022-08-30 Dominik K. Klein , Rogelio Ortigosa , Jesús Martínez-Frutos , Oliver Weeger

We determine conditions on the filling of electrons in a crystalline lattice to obtain the equivalent of a band insulator -- a gapped insulator with neither symmetry breaking nor fractionalized excitations. We allow for strong interactions,…

Strongly Correlated Electrons · Physics 2016-03-18 Haruki Watanabe , Hoi Chun Po , Ashvin Vishwanath , Michael P. Zaletel

Generically, a fully measured elasticity tensor has no material symmetry. For single crystals with a cubic lattice, or for the aeronautics turbine blades superalloys such as Nickelbased CMSX-4, cubic symmetry is nevertheless expected. It is…

Optimization and Control · Mathematics 2022-03-29 Perla Azzi , Rodrigue Desmorat , Boris Kolev , Fabien Priziac

Using electromagnetism to study analogue space-times is tantamount to considering consistency conditions for when a given (meta-)material would provide an analogue space-time model or --- vice versa --- characterizing which given metric…

General Relativity and Quantum Cosmology · Physics 2017-12-27 Sebastian Schuster , Matt Visser

We present a method of calculation of the effective magnetic permeability of magnonic metamaterials containing periodically arranged magnetic inclusions of arbitrary shapes. The spectrum of spin wave modes confined in the inclusions is…

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