Frustrated Ising model on the Cairo pentagonal lattice

Abstract

Through the direct decoration transformation approach, we obtain a general solution for the pentagonal Ising model, showing its equivalence to the isotropic free-fermion eight-vertex model. We study the ground-state phase diagram, in which one ferromagnetic (FM) state, one ferrimagnetic (FIM) state, and one frustrated state are found. Using the exact solution of the pentagonal Ising model, we discuss the finite-temperature phase diagrams and find a phase transition between the FIM state and the disordered state as well as a phase transition between the disordered state and the FM state. We also discuss some additional remarkable properties of the model, such as the magnetization, entropy, and specific heat, at finite temperature and at its low-temperature asymptotic limit. Because of the influence of the second-order phase transition between the frustrated and ferromagnetic phases, we obtain surprisingly low values of the entropy and the specific heat until the critical temperature is reached.

12 pages and 18 figures

References in corpus (7)

• Generalized algebraic transformations and exactly solvable classical-quantum models
• Exact solution of the geometrically frustrated spin-1/2 Ising-Heisenberg model on the triangulated Kagome (triangles-in-triangles) lattice
• Thermodynamics of Ising spins on the Triangular Kagome Lattice: Exact analytical method and Monte Carlo simulations
• Direct algebraic mapping transformation for decorated spin models
• Exact solution of the mixed-spin Ising model on a decorated square lattice with two different kinds of decorating spins on horizontal and vertical bonds
• Phase diagram of the Cairo pentagonal XXZ spin-1/2 magnet under a magnetic field
• Two dimensional XXZ-Ising model on square-hexagon lattice

Cited by in corpus (13)

• Evolutionary potential games on lattices
• Frustrated pentagonal Cairo lattice in the non-collinear antiferromagnet Bi4Fe5O13F
• Dimer Physics in the Frustrated Cairo Pentagonal Antiferromagnet Bi2Fe4O9
• Reentrance of disorder in the anisotropic shuriken Ising model
• Collinear order and chirality-reorientation transition in the Cairo pentagonal magnet Bi${}_4$Fe${}_5$O${}_{13}$F
• Thermodynamic description of the Ising antiferromagnet on triangular lattice with selective dilution by modified Pair Approximation method
• Machine learning of XY model on a spherical Fibonacci lattice
• Magnetization process of the S=1/2 Heisenberg antiferromagnet on the floret pentagonal lattice
• Geometrically frustrated Cairo pentagonal lattice stripe with Ising and Heisenberg exchange interactions
• Geometrically frustrated Ising-Heisenberg spin model on expanded Kagomé lattice
• Spin-1/2 Ising-Heisenberg Cairo pentagonal model in the presence of an external magnetic field: Effect of Landé g-factors
• Quantum decoration transformation for spin models
• Emergence of quantum spin frustration in spin-1/2 Ising-Heisenberg model on a decorated honeycomb lattice