The Statistics of Honeycomb and Triangular Lattice. II

Syôzi, Itiro

doi:10.1143/ptp.5.341

Cited by 48 publications

(55 citation statements)

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“…However, this mathematical difficulty can be surmounted by considering hybrid classical-quantum models, which constitute both the Ising as well as Heisenberg spins. The hybrid Ising-Heisenberg models can be exactly tackled by making use of the generalized decoration-iteration transformation, which was originally envisaged by Syozi [3] and later on remarkably generalized by Fisher [4], Rojas et al [5] and one of the present authors [6].…”

Section: Introductionmentioning

confidence: 99%

Phase diagrams of the mixed spin-1 and spin-1/2 Ising–Heisenberg model on the diamond-like decorated Bethe lattice

Ekiz

Strečka

Jaščur

2011

Journal of Magnetism and Magnetic Materials

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Section: Introductionmentioning

confidence: 99%

Phase diagrams of the mixed spin-1 and spin-1/2 Ising–Heisenberg model on the diamond-like decorated Bethe lattice

Ekiz

Strečka

Jaščur

2011

Journal of Magnetism and Magnetic Materials

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“…13,14) The quantum dynamics at first order of t lifts the degeneracy, and the pinball liquid (II) appears. The estimated kinetic energy gain [ðE Q À E C Þ=N in Fig.…”

mentioning

confidence: 99%

Phase Diagram of Spinless Fermions on an Anisotropic Triangular Lattice at Half-filling

et al. 2006

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The strong coupling phase diagram of spinless fermions on an anisotropic triangular lattice at halffilling is presented. The geometry of inter-site Coulomb interactions rules the phase diagram. Unconventional charge ordered phases are detected, which are the recently reported pinball liquid and the striped chain phases. Both are induced by the quantum dynamics out of classical disordered states and afford extremely correlated metallic states and a particular domain wall-type of excitations, respectively. The disorder once killed by the quantum effect revives at finite temperature, which is discussed in terms of the organic -ET 2 X.

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“…The latter relation implies the possibility of introducing the decorationiteration mapping transformation [5,6] Tr…”

Section: Model and Methodsmentioning

confidence: 99%

The effect of uniaxial crystal-field anisotropy on magnetic properties of the superexchange antiferromagnetic Ising model

Canova¹,

Jascur²

2006

Condens. Matter Phys.

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The generalized Fisher super-exchange antiferromagnetic model with uniaxial crystal-field anisotropy is exactly investigated using an extended mapping technique. An exact relation between partition function of the studied system and that of the standard zero-field spin-1/2 Ising model on the corresponding lattice is obtained applying the decoration-iteration transformation. Consequently, exact results for all physical quantities are derived for arbitrary spin values S of decorating atoms. Particular attention is paid to the investigation of the effect of crystal-field anisotropy and external longitudinal magnetic field on magnetic properties of the system under investigation. The most interesting numerical results for ground-state and finite-temperature phase diagrams, thermal dependences of the sublattice magnetization and other thermodynamic quantities are discussed.

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The Statistics of Honeycomb and Triangular Lattice. II

Cited by 48 publications

References 0 publications

Phase diagrams of the mixed spin-1 and spin-1/2 Ising–Heisenberg model on the diamond-like decorated Bethe lattice

Phase diagrams of the mixed spin-1 and spin-1/2 Ising–Heisenberg model on the diamond-like decorated Bethe lattice

Phase Diagram of Spinless Fermions on an Anisotropic Triangular Lattice at Half-filling

The effect of uniaxial crystal-field anisotropy on magnetic properties of the superexchange antiferromagnetic Ising model

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