Exact evidence for the spontaneous antiferromagnetic long-range order in the two-dimensional hybrid model of localized Ising spins and itinerant electrons

Abstract

The generalized decoration-iteration transformation is adopted to treat exactly a hybrid model of doubly decorated two-dimensional lattices, which have localized Ising spins at their nodal lattice sites and itinerant electrons delocalized over pairs of decorating sites. Under the assumption of a half filling of each couple of the decorating sites, the investigated model system exhibits a remarkable spontaneous antiferromagnetic long-range order with an obvious quantum reduction of the staggered magnetization. It is shown that the critical temperature of the spontaneously long-range ordered quantum antiferromagnet displays an outstanding non-monotonic dependence on a ratio between the kinetic term and the Ising-type exchange interaction.

8 pages, 6 figures

References in corpus (9)

• Generalized Transformation for Decorated Spin Models
• Exact solution of the geometrically frustrated spin-1/2 Ising-Heisenberg model on the triangulated Kagome (triangles-in-triangles) lattice
• XXZ and Ising Spins on the Triangular Kagome Lattice
• Two-Staged Magnetoresistance Driven by Ising-like Spin Sublattice in SrCo6O11
• Magnetic properties of exactly solvable doubly decorated Ising-Heisenberg planar models
• 59Co-NMR Probe for Stepwise Magnetization and Magnetotransport in SrCo6O11 with Metallic Kagome Layer and Triangular Lattice with Local Moments
• Spin-1/2 Ising-Heisenberg model with the pair XYZ Heisenberg interaction and quartic Ising interactions as the exactly soluble zero-field eight-vertex model
• Two dimensional XXZ-Ising model on square-hexagon lattice
• On the Ising-Heisenberg model with the doubly decorated network structure I

Cited by in corpus (13)

• 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
• Direct algebraic mapping transformation for decorated spin models
• Reentrant phase transitions of a coupled spin-electron model on doubly decorated planar lattices with two or three consecutive critical points
• Geometrical frustration of an extended Hubbard diamond chain in the quasi-atomic limit
• Spinless fermion model on diamond chain
• Transforming Generalized Ising Model into Boltzmann Machine
• Enhanced magnetoelectric effect of exactly solved spin-electron model on a doubly decorated square lattice in vicinity of a continuous phase transition
• Influence of applied electric and magnetic fields on a thermally-induced reentrance of a coupled spin-electron model on a decorated square lattice
• Quantum decoration transformation for spin models
• Insights into Magnetic Properties of a Mixed Spin-Electron Model on Decorated Planar Lattices Composed of Half-filled Trigonal Bipyramids
• Non-chiral spin frustration versus highly degenerate ferromagnetic state with local chiral degrees of freedom of an exactly solvable spin-electron planar model of inter-connected trigonal bipyramids
• Comparative Study of a Critical Behavior of a Coupled Spin-Electron Model on a Doubly Decorated Square Lattice in the Canonical and Grand-Canonical Ensemble