Spin-phonon coupling induced frustration in the exactly solved spin-1/2 Ising model on a decorated planar lattice

Abstract

The spin-1/2 Ising model with a spin-phonon coupling on decorated planar lattices partially amenable to lattice vibrations is examined within the framework of the generalized decoration-iteration transformation and the harmonic approximation. It is shown that the magnetoelastic coupling gives rise to an effective antiferromagnetic next-nearest-neighbour interaction, which competes with the nearest-neighbour interaction and is responsible for a frustration of the decorating spins. The strong enough spin-phonon coupling consequently leads to an appearance of the striking partially ordered and partially disordered phase, where a perfect antiferromagnetic alignment of the nodal spins is accompanied with a complete disorder of the decorating spins. The diversity in temperature dependences of the total specific heat is investigated in connection with the particular behaviour of its magnetic and lattice contribution.

10 pages, 7 figures

References in corpus (2)

• Generalized algebraic transformations and exactly solvable classical-quantum models
• On the Theory of Generalized Algebraic Transformations

Cited by in corpus (7)

• Absence of a spontaneous long-range order in a mixed spin-(1/2, 3/2) Ising model on a decorated square lattice due to anomalous spin frustration driven by a magnetoelastic coupling
• Thermodynamic model of a solid with RKKY interaction and magnetoelastic coupling
• Self-consistent model of a solid for the description of lattice and magnetic properties
• Anomalous spin frustration enforced by a magnetoelastic coupling in the mixed-spin Ising model on decorated planar lattices
• Magnetoelastic properties of a spin-1/2 Ising-Heisenberg diamond chain in vicinity of a triple coexistence point
• Magnetoelastic control of quantum correlations and field sensitivity in a spin-1/2 Heisenberg dimer
• Frustration -- Exactly Solved Frustrated Models