Journal ArticleDOI
Coupled order parameters in the Landau theory of phase transitions in solids
Harold T. Stokes,Dorian M. Hatch +1 more
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In this paper, the role of both primary and secondary order parameters in a transition between two solid phases is discussed, and microscopic distortions which appear at the transition can be calculated using group-theoretical methods.Abstract:
We discuss the role of both primary and secondary order parameters in a transition between two solid phases. We show how microscopic distortions which appear at the transition can be calculated using group-theoretical methods. We also show how the form of the coupling term in the Landau free energy influences the behavior of secondary order parameters.read more
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ISODISPLACE: a web-based tool for exploring structural distortions
TL;DR: ISODISPLACE is a new internet-server tool for exploring structural phase transitions that generates atomic displacement patterns induced by irreducible representations of the parent space-group symmetry and allows a user to visualize and manipulate the amplitude of each distortion mode interactively.
Journal ArticleDOI
Ferroelectric transition in YMnO3 from first principles
Craig J. Fennie,Karin M. Rabe +1 more
TL;DR: In this paper, the structural phase transition of multiferroic materials was studied from first principles and a single instability was found at the zone boundary which couples strongly to the polarization.
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A parity-breaking electronic nematic phase transition in the spin-orbit coupled metal Cd2Re2O7.
John Harter,Z. Y. Zhao,Z. Y. Zhao,Jiaqiang Yan,Jiaqiang Yan,David Mandrus,David Mandrus,David Hsieh +7 more
TL;DR: A multipolar nematic phase of matter is uncovered in the metallic pyrochlore Cd2Re2O7 using spatially resolved second-harmonic optical anisotropy measurements and has the distinguishing property of being odd under spatial inversion, which is allowed only in the presence of spin-orbit coupling.
Journal ArticleDOI
Octahedral tilting instabilities in inorganic halide perovskites
TL;DR: In this paper, the structural instabilities present in inorganic cubic and tetragonal halide perovskites with Pb or Sn on the metal site and Br or I on the $X$ site were investigated.
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INVARIANTS: program for obtaining a list of invariant polynomials of the order‐parameter components associated with irreducible representations of a space group
Dorian M. Hatch,Harold T. Stokes +1 more
TL;DR: In this article, the authors present a program to generate symmetry-allowed invariants associated with a given high-symmetry group H and the primary OP, along with invariants and coupling polynomials of the secondary OPs.
References
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Book
The Landau theory of phase transitions : application to structural, incommensurate, magnetic, and liquid crystal systems
J. C. Tolédano,Pierre Tolédano +1 more
TL;DR: In this paper, the basic principles and techniques of Landau's theory are presented for teaching purposes, and the practical methods for applying the theory to complex systems are described. But the main purpose of the book is to incorporate the developments which have arisen in the last fifteen years from the extensive application of the theory on a variety of physical systems.
Book
Isotropy Subgroups Of The 230 Crystallographic Space Groups
Harold T. Stokes,Dorian M. Hatch +1 more
TL;DR: In this article, a rather exhaustive list of isotropy subgroups of the 230 crystallographic space groups is given, with information concerning both physical and abstract characteristics of the phase transitions.
Journal ArticleDOI
Ferroelasticity and related properties of crystals
TL;DR: In this paper, the main concepts used in the description of ferroelasticity and other related properties of crystals, viz. ferrobielasticity, ferro-astoelectricity and ferromagneto-elastic properties, are reviewed.
Journal ArticleDOI