Corpus ID: 236493422

Two universality classes for the displacive phase transitions in perovskites

@inproceedings{Aharony2021TwoUC,
  title={Two universality classes for the displacive phase transitions in perovskites},
  author={Amnon Aharony and O. Entin-wohlman},
  year={2021}
}
Perovskites like LaAlO3, (or SrTiO3) undergo displacive structural phase transitions from a cubic crystal to a trigonal (or tertagonal) structure. For many years, the critical exponents in both these types of transitions have been fitted to those of the isotropic three-commponents Heisenberg model. Recent field theoretical accurate calculations showed that this is wrong: the isotropic fixed point of the renormalization group (RG) is unstable, and RG iterations flow either to a ‘cubic’ fixed… Expand

Figures from this paper

References

SHOWING 1-10 OF 59 REFERENCES
Interaction of Elastic Strain with the Structural Transition of Strontium Titanate
Second-order displacive transitions of a type often observed in crystals of perovskite structure are analyzed by means of a phenomenological model employing optical soft-mode and elastic-strainExpand
Polycritical Points and Floplike Displacive Transitions in Perovskites
The critical behavior occurring at displacive phase transitions in anisotropically stressed perovskite crystals is examined. It is shown that, under various conditions, the asymptotic criticalExpand
The cubic-tetragonal phase transition in strontium titanate: excess specific heat measurements and evidence for a near-tricritical, mean field type transition mechanism
The transition between the cubic and tetragonal phase in shows an excess specific heat of . Comparison between the temperature evolution of the excess entropy and the structural order parameter QExpand
Critical behavior of the order parameter at antiferrodistortive transitions with cubic fluctuations
The temperature dependence of the generalized order parameter, namely the rotation angle of the Nb${\mathrm{O}}_{6}$ octahedron, at the antiferrodistortive transition in the perovskite crystalExpand
The phase transition of strontium titanate
  • R. Cowley
  • Materials Science, Physics
  • Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences
  • 1996
The structural phase transition of strontium titanate has played a crucial role in the development of our understanding of structural phase transitions. It was the first system for which experimentsExpand
Destruction of first-order transitions by symmetry-breaking fields
Various physical systems with Hamiltonians of cubic and lower symmetry are predicted classically to exhibit second-order phase transitions but known to yield first-order transitions within theExpand
Structural instabilities in lanthanum cuprate superconductors
Subtle but well characterized structural phase transformations occur at low temperatures in some lanthanum cuprate superconductors. These transformations, which involve collective tilting of the CuO6Expand
Interplay between antiferrodistortive, ferroelectric, and superconducting instabilities in Sr1-x Ca-x TiO3-delta
SrTiO$_{3}$ undergoes a cubic-to-tetragonal phase transition at 105K. This antiferrodistortive transition is believed to be in competition with incipient ferroelectricity. Substituting strontium byExpand
Old and New Results on Multicritical Points
Thirty years after the Liu–Fisher paper on the bicritical and tetracritical points in quantum lattice gases, these multicritical points continue to appear in a variety of new physical contexts. ThisExpand
The N-component Ginzburg-Landau Hamiltonian with cubic anisotropy: a six-loop study
We consider the Ginzburg-Landau Hamiltonian with a cubic-symmetric quartic interaction and compute the renormalization-group functions to six-loop order in d=3. We analyze the stability of theExpand
...
1
2
3
4
5
...