Phase diagram of truncated tetrahedral model

Abstract

Phase diagram of a discrete counterpart of the classical Heisenberg model, the truncated tetrahedral model, is analyzed on the square lattice, when the interaction is ferromagnetic. Each spin is represented by a unit vector that can point to one of the 12 vertices of the truncated tetrahedron, which is a continuous interpolation between the tetrahedron and the octahedron. Phase diagram of the model is determined by means of the statistical analogue of the entanglement entropy, which is numerically calculated by the corner transfer matrix renormalization group method. The obtained phase diagram consists of four different phases, which are separated by five transition lines. In the parameter region, where the octahedral anisotropy is dominant, a weak first-order phase transition is observed.

6 pages, 8 figures

References in corpus (3)

• Scaling of entanglement support for Matrix Product States
• Thermodynamic model of social influence on two-dimensional square lattice: Case for two features
• Critical properties of edge-cubic spin model on square lattice

Cited by in corpus (15)

• Gluon Field Digitization for Quantum Computers
• Gluon Field Digitization via Group Space Decimation for Quantum Computers
• Sigma models on quantum computers
• Primitive Quantum Gates for an SU(2) Discrete Subgroup: BT
• Primitive Quantum Gates for Dihedral Gauge Theories
• Prospects for Simulating a Qudit Based Model of (1+1)d Scalar QED
• Lattice Renormalization of Quantum Simulations
• The spectrum of qubitized QCD: glueballs in a $S(1080)$ gauge theory
• Gluon Digitization via Character Expansion for Quantum Computers
• Critical behavior of the two-dimensional icosahedron model
• Commensurate-incommensurate transition in the chiral Ashkin-Teller model
• Phase transition of the six-state clock model observed from the entanglement entropy
• Entanglement-entropy study of phase transitions in six-state clock model
• Corner transfer matrix renormalization group analysis of the two-dimensional dodecahedron model
• Phase boundary location with information-theoretic entropy in tensor renormalization group flows