Frustrations in the Ising chain with the third-neighbor interactions

Abstract

We study the frustration properties of the Ising model on a one-dimensional monoatomic equidistant lattice, taking into account the exchange interactions of atomic spins at the sites of the nearest, next-nearest, and third neighbors. The exact analytical expressions for the thermodynamic functions of the system are obtained using the Kramers--Wannier transfer matrix technique. Criteria for the emergence of magnetic frustrations in the presence of competition between the energies of exchange interactions are formulated. The points and intervals of the existence of frustrations, which depend on the values and signs of the exchange interactions, are found. The features of the entropy and heat capacity of this model in the frustration regime and its vicinity are investigated. Non-zero entropy values of the ground state of a frustrated system, as well as a two-peak temperature structure of the heat capacity in the vicinity of the frustration point, are found.

References in corpus (13)

• Quantum Spin Liquids
• Spin-lattice coupling in frustrated antiferromagnets
• Unusual ordered phases of highly frustrated magnets: a review
• Physical realization of a quantum spin liquid based on a novel frustration mechanism
• Frustration and quantum criticality
• Anisotropic magnetization, specific heat and resistivity of RFe2Ge2 single crystals
• New physics in frustrated magnets: Spin ices, monopoles, etc
• What can spin glass theory and analogies tell us about ferroic glasses?
• Magnetic structure of the antiferromagnetic half-Heusler compound NdBiPt
• Crystal structure, incommensurate magnetic order and ferroelectricity in mn${}_{1-x}$cu${}_x$wo${}_4$ (x=0-0.19)
• Spin nematics in frustrated spin-dimer systems with bilayer structure
• Frustrations and orderings in Ising chain with multiple interactions
• Diffuse scattering on Ising chain with competing interactions

Cited by in corpus (6)

• Landau-Forbidden Quantum Criticality in Rydberg Quantum Simulators
• Frustrations on decorated planar lattices in Ising model
• Frustrations on decorated triangular lattice in Ising model
• Critical properties of a 2D frustrated magnet with non-magnetic impurities
• Frustrations on Decorated Square Lattice in Ising Model
• Frustration and ordering in Ising chain in an external magnetic field with third-neighbor interactions