TY - JOUR
T1 - Critical and tricritical points near the Potts model transition of uniaxially stressed SrTiO3
AU - Blankschtein, D.
AU - Aharony, A.
PY - 1981
Y1 - 1981
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=36149042417&partnerID=8YFLogxK
U2 - 10.1088/0022-3719/14/14/005
DO - 10.1088/0022-3719/14/14/005
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AN - SCOPUS:36149042417
SN - 0022-3719
VL - 14
SP - 1919
EP - 1944
JO - Journal of Physics C: Solid State Physics
JF - Journal of Physics C: Solid State Physics
IS - 14
M1 - 005
ER -