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The confluence of quantum mechanics and complexity, which leads to the emergence of rich, exotic states of matter, motivates the extension of our concepts of quantum ordering. The twin concepts of spontaneously broken symmetry, described in…

Strongly Correlated Electrons · Physics 2019-01-15 Yashar Komijani , Anna Toth , Premala Chandra , Piers Coleman

We developed a Landau type theory for the description of polar phenomena in low-dimensional transition metal dichalcogenides (TMDs), specifically exploring flexoelectric origin of the polarization induced by a spontaneous bending and by…

We study the time evolution of thermodynamic observables that characterise the dissipative nature of thermal relaxation after an instantaneous temperature quench. Combining tools from stochastic thermodynamics and large-deviation theory, we…

Statistical Mechanics · Physics 2023-03-06 Jan Meibohm , Massimiliano Esposito

A Ginzburg-Landau model for the macroscopic behaviour of a shape memory alloy is proposed. The model is one-dimensional in essence, in that we consider the effect of the martensitic phase transition in terms of a uniaxial deformation along…

Materials Science · Physics 2011-08-01 D. Grandi , M. Maraldi , L. Molari

We study the possibility to apply phenomenological approach to the description of magnetic transitions in UGe$_2$ at ambient pressure with the help of Landau free energy expanded to 8th order in magnetisation. The analysis shows that for…

Superconductivity · Physics 2021-08-24 Diana V. Shopova

We study the three-dimensional Ginzburg-Landau model of superconductivity for strong applied magnetic fields varying between the second and third critical fields. In this regime, it is known from physics that superconductivity should be…

Analysis of PDEs · Mathematics 2019-03-27 Søren Fournais , Jean-Philippe Miqueu , Xing-Bin Pan

Macroscopic modelling of ferroelectric properties refers usually to Landau-Ginzburg-Devonshire theory. This paper questions the meaningfulness of this term, discussing contributions of the three authors to what is supposed to be a theory.…

Materials Science · Physics 2020-08-17 Arkady P. Levanyuk , I. Burc Misirlioglu , M. Baris Okatan

We present a minimal Landau theory of plastic-to-crystal phase transitions in which the key components are a multipole-moment order parameter that describes the orientational ordering of the constituent molecules, coupling between such…

Materials Science · Physics 2025-02-07 R. Marín-Delgado , X. Moya , G. G. Guzmán-Verri

The discovery of ordered structures in pattern-forming systems, such as the Landau-Brazovskii (LB) model, is often limited by the sensitivity of numerical solvers to the prescribed computational domain size. Incompatible domains induce…

Materials Science · Physics 2026-03-06 Yuchen Xie , Jianyuan Yin , Lei Zhang

This paper presents a novel derivation of the direct parametrisation method for invariant manifolds able to build simulation-free reduced-order models for nonlinear piezoelectric structures, with a particular emphasis on applications to…

Numerical Analysis · Mathematics 2023-06-14 Andrea Opreni , Giorgio Gobat , Cyril Touzé , Attilio Frangi

A series of Pr(TM)$_2$X$_{20}$ (with TM=Ti,V,Rh,Ir and X=Al,Zn) Kondo materials, containing non-Kramers Pr$^{3+}$ $4f^2$ moments on a diamond lattice, have been shown to exhibit intertwined orders such as quadrupolar order and…

Strongly Correlated Electrons · Physics 2018-11-07 SungBin Lee , Simon Trebst , Yong Baek Kim , Arun Paramekanti

We present a theoretical analysis of the temperature-magnetic field-concentration phase diagram of the multiferroic Mn$_{1-x}$M$_{x}$WO$_{4}$ (M=Fe, Zn, Mg), which exhibits three ordered phases, with collinear and non-collinear…

Materials Science · Physics 2013-06-03 Shlomi Matityahu , Amnon Aharony , Ora Entin-Wohlman

In this work, we carry out first-principles calculations and lattice mode analysis to investigate the polarization switching mechanism in HfO$_2$. Because the stability of the polar orthorhombic $Pca2_1$ phase of HfO$_2$ arises from a…

Materials Science · Physics 2021-08-31 Yubo Qi , Sobhit Singh , Karin M. Rabe

The time-dependent Ginzburg-Landau (TDGL) equation for a single component non-conservative structural order parameter is used to study the spatio-temporal evolution of a second phase in the vicinity of an edge dislocation in an elastic…

Statistical Mechanics · Physics 2012-12-19 Christina Bjerkén , Ali R. Massih

The advances of machine-learned force fields have opened up molecular dynamics (MD) simulations for compounds for which ab-initio MD is too resource-intensive and phenomena for which classical force fields are insufficient. Here we describe…

Materials Science · Physics 2024-08-07 Sebastian Bichelmaier , Jesús Carrete , Georg K. H. Madsen

In the last decade, the use of Machine and Deep Learning (MDL) methods in Condensed Matter physics has seen a steep increase in the number of problems tackled and methods employed. A number of distinct MDL approaches have been employed in…

Computational Engineering, Finance, and Science · Computer Science 2023-03-08 Edoardo Di Napoli , Xinzhe Wu , Thomas Bornhake , Piotr M. Kowalski

The ground-state phase diagrams of the three-orbital t2g Hubbard model are studied using a Hartree-Fock approximation. First, a complete set of multipolar order parameters for t2g models defined in terms of the effective total angular…

Strongly Correlated Electrons · Physics 2022-01-05 Naoya Chikano , Shintaro Hoshino , Hiroshi Shinaoka

In order to examine the mysterious ordered phase of NpO2 from a microscopic viewpoint, we investigate an f-electron model on an fcc lattice constructed based on a j-j coupling scheme. First, an effective model with multipole interactions is…

Strongly Correlated Electrons · Physics 2009-08-11 Katsunori Kubo , Takashi Hotta

The deviation of the energy position of a delocalized state from the center of Landau level is studied in the framework of the Chalker-Coddington model. It is demonstrated that introducing a weak Landau level mixing results in a shift of…

Condensed Matter · Physics 2016-08-31 T. V. Shahbazyan , M. E. Raikh

The discovery of very large piezo- and pyroelectric effects in ZrO2 and HfO2-based thin films opens up new opportunities to develop silicon-compatible sensor and actor devices. The effects are amplified close to the polar-orthorhombic to…

Materials Science · Physics 2022-06-02 Richard Ganser , Simon Bongarz , Alexander von Mach , Luis Azevedo Antunes , Alfred Kersch