Phase diagram of the asymmetric tetrahedral Ising-Heisenberg chain

Abstract

The asymmetric tetrahedron is composed by all edges of tetrahedron represented by Ising interaction except one, which has a Heisenberg type interaction. This asymmetric tetrahedron is arranged connecting a vertex which edges are only Ising type interaction to another vertex with same structure of another tetrahedron. The process is replicated and this kind of lattice we call the asymmetric Ising-Heisenberg chain. We have studied the ground state phase diagram for this kind of models. Particularly we consider two situations in the Heisenberg-type interaction, (i) The asymmetric tetrahedral spin(1/2,1/2) Ising-XYZ chain, and (ii) the asymmetric tetrahedral spin-(1/2,1) Ising-XXZ chain, where we have found a rich phase diagram and a number of multicritical points. Additionally we have also studied their thermodynamics properties and the correlation function, using the decorated transformation. We have mapped the asymmetric tetrahedral Ising-Heisenberg chain in an effective Ising chain, and we have also concluded that it is possible to evaluate the partition function including a longitudinal external magnetic field.

14 pages, 8 figures. Accepted in Journal of Physics: Condensed Matter

References in corpus (2)

• Geometric frustration in the class of exactly solvable Ising-Heisenberg diamond chains
• One-dimensional spin pyrochlore lattice: exact ground state and elementary excitations

Cited by in corpus (16)

• Thermal entanglement in exactly solvable Ising-XXZ diamond chain structure
• Exactly solvable mixed-spin Ising-Heisenberg diamond chain with the biquadratic interactions and single-ion anisotropy
• Quasi-phases and pseudo-transitions in one-dimensional models with nearest neighbor interactions
• Magneto-thermal properties of the Heisenberg-Ising orthogonal-dimer chain with triangular XXZ-clusters
• Thermal entanglement and sharp specific-heat peak in an exactly solved spin-1/2 Ising-Heisenberg ladder with alternating Ising and Heisenberg inter-leg couplings
• Magnetization plateaus of an exactly solvable spin-1 Ising-Heisenberg diamond chain
• Magnetic properties of the spin-1/2 Ising-Heisenberg diamond chain with the four-spin interaction
• Ferrimagnetic spin-1/2 chain of alternating Ising and Heisenberg spins in arbitrarily oriented magnetic field
• Geometrical frustration of an extended Hubbard diamond chain in the quasi-atomic limit
• Spinless fermion model on diamond chain
• Two dimensional XXZ-Ising model on square-hexagon lattice
• Magnetic and thermodynamic properties of the octanuclear nickel phosphonate-based cage
• Rise of pairwise thermal entanglement for an alternating Ising and Heisenberg spin chain in an arbitrarily oriented magnetic field
• Entanglement of the Ising-Heisenberg diamond spin-1/2 cluster in evolution
• Zero temperature phase transitions and their anomalous influence on thermodynamic behavior in the q-state Potts model on a diamond chain
• Navigating the phase diagram of quantum many-body systems in phase space