Tricriticality in crossed Ising chains

Cary, T.; Singh, R. R.  P.; Scalettar, R. T.

doi:10.1103/PhysRevE.96.042108

Title: Tricriticality in crossed Ising chains

Journal Article · Mon Oct 09 00:00:00 EDT 2017 · Physical Review E

DOI:https://doi.org/10.1103/PhysRevE.96.042108· OSTI ID:1477008

Cary, T. ^[1]; Singh, R. R. P. ^[1]; Scalettar, R. T. ^[1]

Univ. of California, Davis, CA (United States). Dept. of Physics

We explore the phase diagram of Ising spins on one-dimensional chains which criss-cross in two perpendicular directions and which are connected by interchain couplings. This system is of interest as a simpler, classical analog of a quantum Hamiltonian which has been proposed as a model of magnetic behavior in Nb₁₂O₂₉ and also, conceptually, as a geometry which is intermediate between one and two dimensions. Here, using mean field theory as well as Metropolis Monte Carlo and Wang-Landau simulations, we locate quantitatively the boundaries of four ordered phases. Each becomes an effective Ising model with unique effective couplings at large interchain coupling. Away from this limit we demonstrate non-trivial critical behavior, including tricritical points which separate first and second order phase transitions. Finally, we present evidence that this model belongs to the 2D Ising universality class.

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Research Organization:: Univ. of California, Davis, CA (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: SC0014671

OSTI ID:: 1477008

Alternate ID(s):: OSTI ID: 1398736

Journal Information:: Physical Review E, Vol. 96, Issue 4; ISSN 2470-0045

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 2 works

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References (24)

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