Shape descriptors of equilibrium states in a quantum lattice model with local multi-well potentials: A geometric analysis near the phase transitions in Sn$_2$P$_2$S$_6$ ferroelectric crystals

S. Özüm; T. Akkurt; R. Erdem; N. Güçlü

doi:10.5488/cmp.28.43703

paper

Shape descriptors of equilibrium states in a quantum lattice model with local multi-well potentials: A geometric analysis near the phase transitions in Sn $_{2}$ P $_{2}$ S $_{6}$ ferroelectric crystals

arXiv:2512.12338 · doi:10.5488/cmp.28.43703

Abstract

We analyze the equilibrium states of quantum lattice model with local multi-well potentials for Sn $_{2}$ P $_{2}$ S $_{6}$ ferroelectric crystals using the mean and Gaussian curvatures ( $H$ , $K$ ), curvedness ( $C$ ) and shape index ( $S$ ). From the energy gap, pressure and temperature variations of $H$ , $K$ , $C$ and $S$ , we have reported the geometric construction of the free energy surfaces for the ferroelectric and paraelectric phases. Their behaviors are explicitly observed near the ferroelectric-paraelectric phase transitions. It is found that $H$ , $C$ and $S$ display a cusp singularity at the criticality while $K$ converges to zero on both sides of the critical and tricritical points.

10 pages, 7 figures

References in corpus (1)

Slow and fast relaxation times of quantum lattice model with local multi-well potentials: phenomenological dynamics for Sn $_{2}$ P $_{2}$ S $_{6}$ ferroelectric crystals

Shape descriptors of equilibrium states in a quantum lattice model with local multi-well potentials: A geometric analysis near the phase transitions in Sn2​P2​S6​ ferroelectric crystals

Abstract

References in corpus (1)

Shape descriptors of equilibrium states in a quantum lattice model with local multi-well potentials: A geometric analysis near the phase transitions in Sn $_{2}$ P $_{2}$ S $_{6}$ ferroelectric crystals