Partition function zeros and magnetization plateaus of the spin-1 Ising–Heisenberg diamond chain

V. V. Hovhannisyan, Nerses Ananikian, Ralph Kenna

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

We study the properties of the generalized spin-1 Ising–Heisenberg model on a diamond chain, which can be considered as a theoretical model for the homometallic magnetic complex [Ni3(C4H2O4)2−(µ3−OH)2(H2O)4]n ·(2H2O)n. The model possesses a large variety of ground-state phases due to the presence of biquadratic and single-ion anisotropy parameters. Magnetization and quadrupole moment plateaus are observed at one- and two-thirds of the saturation value. The distributions of Yang–Lee and Fisher zeros are studied numerically for a variety of values of the model parameters. The usual value σ = − 1 2 alongside an unusual value σ = − 2 3 is determined for the Yang–Lee edge singularity exponents.
Original languageEnglish
Pages (from-to)116-130
JournalPhysica A: Statistical Mechanics and its Applications
Volume453
DOIs
Publication statusPublished - 17 Feb 2016

Fingerprint

Strombus or kite or diamond
Partition Function
Magnetization
partitions
plateaus
diamonds
magnetization
Zero
Edge Singularity
Theoretical Model
Anisotropy
Saturation
Exponent
Model
Moment
quadrupoles
exponents
moments
saturation
anisotropy

Bibliographical note

The full text is currently unavailable on the repository.

Keywords

  • Ising–Heisenberg spin model
  • Magnetization plateau
  • Diamond chain
  • Yang–Lee zeros
  • Fisher zeros

Cite this

Partition function zeros and magnetization plateaus of the spin-1 Ising–Heisenberg diamond chain. / Hovhannisyan, V. V.; Ananikian, Nerses; Kenna, Ralph.

In: Physica A: Statistical Mechanics and its Applications, Vol. 453, 17.02.2016, p. 116-130.

Research output: Contribution to journalArticle

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