Critical and tricritical points near the Potts model transition of uniaxially stressed SrTiO3

D. Blankschtein, A. Aharony

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15 Scopus citations


The authors study the phase diagrams of SrTiO3 as function of temperature and of uniaxial stress along a general direction. In particular, new results are presented for stress along (110) and along (1+ delta , 1+ delta , 1-2 delta ). In the latter case, the trigonal pseudotetragonal phase transition is described by a three-state Potts model Hamiltonian with both quadratic and linear symmetry-breaking fields. Far away from the (zero-stress) multicritical point, the leading fluctuations are described by the underlying XY model. The first-order Potts model transition is turned second order by the symmetry-breaking fields via a tricritical point, at delta t(<0), and at a critical point, delta c(>0). The universal ratio delta t/ delta c is calculated to order epsilon =4-d. In the close vicinity of the multicritical point, the XY model underlying all of these results undergoes a crossover to a Gaussian model, and the Potts line approaches the temperature axis tangentially.

Original languageEnglish
Article number005
Pages (from-to)1919-1944
Number of pages26
JournalJournal of Physics C: Solid State Physics
Issue number14
StatePublished - 1 Dec 1981
Externally publishedYes

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Engineering (all)
  • Physics and Astronomy (all)


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