Phase diagrams of the spin-1/2 Ising-Heisenberg model on a triangle-hexagon lattice
Jana Kissova, Jozef Strecka

TL;DR
This paper investigates the phase diagrams of a frustrated spin-1/2 Ising-Heisenberg model on a triangle-hexagon lattice, revealing complex ground states including ordered and spin-liquid phases using a generalized mapping transformation.
Contribution
It introduces a novel application of the star-triangle mapping transformation to analyze the phase behavior of the model on a triangle-hexagon lattice.
Findings
Identification of two long-range ordered phases
Discovery of a disordered spin-liquid phase
Mapping of ground-state and finite-temperature phase diagrams
Abstract
Ground-state and finite-temperature phase diagrams of a geometrically frustrated spin-1/2 Ising-Heisenberg model on a triangle-hexagon lattice are investigated within the generalized star-triangle mapping transformation. It is shown that the ground state is constituted by two different spontaneously long-range ordered phases and one disordered spin-liquid phase.
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