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Open AccessQuantum fluctuations drive nonmonotonic correlations in a qubit lattice
Fluctuations may induce the degradation of order by overcoming ordering interactions, consequently leading to an increase of entropy. This is particularly evident in magnetic systems characterized by nontrivia...
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Article
Open AccessCaloric Effects Induced by Uniform and Non-uniform Stress in Shape-Memory Materials
A Ginzburg–Landau model is developed that is adequate to describe a square-to-rectangle martensitic transition with associated shape-memory and superelastic properties. Using this model we study caloric effect...
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Article
Open AccessSurface-wave-assisted nonreciprocity in spatio-temporally modulated metasurfaces
Emerging photonic functionalities are mostly governed by the fundamental principle of Lorentz reciprocity. Lifting the constraints imposed by this principle could circumvent deleterious effects that limit the ...
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Chapter
Nonlinearity and Topology
The interplay of nonlinearity and topology results in many novel and emergent properties across a number of physical systems such as chiral magnets, nematic liquid crystals, Bose–Einstein condensates, photonic...
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Higher-Order Field Theories: \(\phi ^6\) , \(\phi ^8\) and Beyond
The \(\phi ^4\) model has been the “workhorse” of the classical Ginzburg–Landau phenomenological theory of phase transitions an...
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Article
Open AccessFragile aspects of topological transition in lossy and parity-time symmetric quantum walks
Quantum walks often provide telling insights about the structure of the system on which they are performed. In $${\mathscr{P}}{\mathsc...
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Article
Open AccessBroken symmetries, non-reciprocity, and multiferroicity
The interplay of space and time symmetries, ferroic properties, chirality and notions of reciprocity determines many of the technologically important properties of materials such as optical diode effect, e.g.,...
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Importance of Topology in Materials Science
We underscore the substantial need for understanding a wide range of multifunctional materials through the notions of topology-geometry interrelationships such as genus, Euler characteristic and network connec...
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Chapter
Solitary Waves in the Nonlinear Dirac Equation
In the present work, we consider the existence, stability, and dynamics of solitary waves in the nonlinear Dirac equation. We start by introducing the Soler model of self-interacting spinors, and discuss its l...
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Book
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Article
Open AccessNon-hermitian quantum thermodynamics
Thermodynamics is the phenomenological theory of heat and work. Here we analyze to what extent quantum thermodynamic relations are immune to the underlying mathematical formulation of quantum mechanics. As a m...
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Article
\(\mathcal {P}\mathcal {T}\) -Symmetric Dimer in a Generalized Model of Coupled Nonlinear Oscillators
In the present work, we explore the case of a general 𝒫 𝒯 ...
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Article
Modelling Shape-Memory Effects in Ferromagnetic Alloys
We develop a combined Ginzburg–Landau/micromagnetic model dealing with conventional and magnetic shape-memory properties in ferromagnetic shape-memory materials. The free energy of the system is written as the...
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Article
Open AccessBent waveguides for matter-waves: supersymmetric potentials and reflectionless geometries
Non-zero curvature in a waveguide leads to the appearance of an attractive quantum potential which crucially affects the dynamics in matter-wave circuits. Using methods of supersymmetric quantum mechanics, pai...
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Article
Reverse phase transformation of martensite to austenite in stainless steels: a 3D phase-field study
The martensitic transformation of austenite as well as the reversion of martensite to austenite has been reported to significantly improve mechanical properties of steels. In the present work, three dimensiona...
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Article
A topological twist on materials science
The primary objective of this article is twofold: to address the key concept of topology that impacts materials science in a major way and to convey the excitement to the materials community of recent signific...
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Book
Mesoscopic Phenomena in Multifunctional Materials
Synthesis, Characterization, Modeling and Applications
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Chapter
Thermodynamics of Multiferroic Materials
This chapter deals with the Thermodynamics of multiferroic materials. We first discuss the symmetry of the four primary ferroic order parameters related to ferromagnets, ferroelectrics, ferroelastics and ferro...
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Article
Ginzburg–Landau modelling of precursor nanoscale textures in ferroelastic materials
A Ginzburg–Landau free-energy model is proposed to study spatially inhomogeneous states that often occur as precursors of ferroelastic/martensitic transitions. Disorder is included in the harmonic coefficient ...
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Article
Solutions of several coupled discrete models in terms of Lamé polynomials of arbitrary order
Coupled discrete models are ubiquitous in a variety of physical contexts. We provide an extensive set of exact quasiperiodic solutions of a number of coupled discrete models in terms of Lamé polynomials of arb...
