Insights into Magnetic Properties of a Mixed Spin-Electron Model on Decorated Planar Lattices Composed of Half-filled Trigonal Bipyramids

Abstract

A mixed spin-electron model on decorated planar lattices formed by corner-sharing trigonal bipyramids is exactly solved by imposing three mobile electrons per triangular cluster of each bipyramid by means of a generalized decoration-iteration mapping transformation. It is shown that the ground state of the model involves two spontaneously long-range ordered phases, namely, the classical phase with a perfect ferromagnetic arrangement of all particles and the macroscopically degenerate quantum one. The macroscopic degeneracy of the quantum phase lies in chiral degrees of freedom of the mobile electrons. Finite-temperature phase diagrams as well as temperature variations of the spontaneous magnetization, entropy, and specific heat clearly prove that the classical spin-electron arrangement is thermally almost twice more stable than the quantum one for some combinations of the model's parameters.

arXiv comment9 pages, 6 figures

References in corpus (18)

• Generalized Transformation for Decorated Spin Models
• Generalized algebraic transformations and exactly solvable classical-quantum models
• Vigorous thermal excitations in a double-tetrahedral chain of localized Ising spins and mobile electrons mimic a temperature-driven first-order phase transition
• Electric polarization induced by Neel order without magnetic superlattice: experimental study of Cu3Mo2O9 and numerical study of a small spin cluster
• Reentrant phase transitions of a coupled spin-electron model on doubly decorated planar lattices with two or three consecutive critical points
• Exact evidence for the spontaneous antiferromagnetic long-range order in the two-dimensional hybrid model of localized Ising spins and itinerant electrons
• Magnetic Gruneisen parameter and magnetocaloric properties of a coupled spin-electron double-tetrahedral chain
• Ground-state and magnetocaloric properties of a coupled spin-electron double-tetrahedral chain (exact study at the half filling)
• Low temperature pseudo-phase transition in an extended Hubbard diamond chain
• Magnetization processes and existence of reentrant phase transitions in coupled spin-electron model on doubly decorated planar lattices
• Enhanced magnetoelectric effect of exactly solved spin-electron model on a doubly decorated square lattice in vicinity of a continuous phase transition
• The antiferromagnetic Ising model on the swedenborgite lattice
• Magnetization plateau as a result of the uniform and gradual electron doping in a coupled spin-electron double-tetrahedral chain
• Influence of applied electric and magnetic fields on a thermally-induced reentrance of a coupled spin-electron model on a decorated square lattice
• Conventional and rotating magnetoelectric effect of a half-filled spin-electron model on a doubly decorated square lattice
• Doping-dependent magnetization plateaus of a coupled spin-electron chain: exact results
• On the ground-state degeneracy and entropy in a double-tetrahedral chain formed by the localized Ising spins and mobile electrons
• Rotating magnetoelectric effect in a ground state of a coupled spin-electron model on a doubly decorated square lattice