Frustrations on decorated planar lattices in Ising model
arXiv:2206.09176 · doi:10.1007/s10948-022-06269-7
Abstract
We study the frustration properties of the Ising model on several decorated lattices with arbitrary numbers of decorating spins on all bonds of the lattice within an exact analytical approach based on the Kramers--Wannier transfer-matrix technique. The existence of magnetic frustrations in such situations and their influence on the behavior of the thermodynamic functions of systems is shown. The most important result of our study is related to the description of the possible coexistence of frustrations and long-range magnetic order in partially ordered spin systems.
References in corpus (6)
- Thermodynamic properties of a tetramer ferro-ferro-antiferro-antiferromagnetic Ising-Heisenberg bond alternating chain as a model system for Cu(3-Clpy)(N)
- XXZ and Ising Spins on the Triangular Kagome Lattice
- Heat Transport in Herbertsmithite: Can a Quantum Spin Liquid Survive Disorder?
- Partial long-range order in antiferromagnetic Potts models
- Spin- Mott insulator to metal to spin- Mott insulator transition in the single-orbital Hubbard model on the decorated honeycomb lattice
- Frustrations and orderings in Ising chain with multiple interactions