Coexistence of Long-Range Ferromagnetic Ordering and Glassy Behavior in One-Dimensional Bimetallic Cyano-Bridged Polymers

Layered structures are an object of interest for theoretical and experimental reasons. In this work, we study coupled map lattice on a ladder. The ladder consists of two one-dimensional chains coupled at every point. We study linearly and nonlinearly coupled logistic maps in this system and study transition to nonzero persistence, in particular. We coarse-grain the variable value by assigning spin [Formula: see text] ([Formula: see text]) to sites that have value greater (less) than the fixed point and compute the number of sites that have not changed their spin values at all even times till the given time [Formula: see text]. The fraction of such sites at a given time [Formula: see text] is known as persistence. In our system, we observe a power-law of persistence at the critical value of coupling. This transition is also accompanied by long-range antiferromagnetic ordering for nonlinear coupling and long-range ferromagnetic ordering for linear coupling. The number of domain walls decay as [Formula: see text] at the critical point in both cases. The persistence exponent is 0.375 for a nonlinear case with two layers which is an exponent for the voter model on the ladder as well as for the Ising model at zero temperature or voter model in 1D. For linear coupling, we obtain a smaller persistence exponent.

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Kinetic theory of one-dimensional homogeneous long-range interacting systems with an arbitrary potential of interaction

Physical Review E ◽

10.1103/physreve.102.052110 ◽

2020 ◽

Vol 102 (5) ◽

Author(s):

Jean-Baptiste Fouvry ◽

Pierre-Henri Chavanis ◽

Christophe Pichon

Keyword(s):

Kinetic Theory ◽

Long Range ◽

One Dimensional ◽

Interacting Systems ◽

Arbitrary Potential

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Quasi-1D XY antiferromagnet Sr2Ni(SeO3)2Cl2 at Sakai-Takahashi phase diagram

Scientific Reports ◽

10.1038/s41598-021-94390-3 ◽

2021 ◽

Vol 11 (1) ◽

Author(s):

E. S. Kozlyakova ◽

A. V. Moskin ◽

P. S. Berdonosov ◽

V. V. Gapontsev ◽

S. V. Streltsov ◽

...

Keyword(s):

Phase Diagram ◽

Long Range ◽

Density Functional ◽

Uniaxial Anisotropy ◽

Exchange Interactions ◽

Spin Liquid ◽

Functional Theory ◽

One Dimensional ◽

Ordered Phases ◽

Experimental Findings

AbstractUniform quasi-one-dimensional integer spin compounds are of interest as a potential realization of the Haldane conjecture of a gapped spin liquid. This phase, however, has to compete with magnetic anisotropy and long-range ordered phases, the implementation of which depends on the ratio of interchain J′ and intrachain J exchange interactions and both uniaxial D and rhombic E single-ion anisotropies. Strontium nickel selenite chloride, Sr2Ni(SeO3)2Cl2, is a spin-1 chain system which passes through a correlations regime at Tmax ~ 12 K to long-range order at TN = 6 K. Under external magnetic field it experiences the sequence of spin-flop at Bc1 = 9.0 T and spin-flip transitions Bc2 = 23.7 T prior to full saturation at Bsat = 31.0 T. Density functional theory provides values of the main exchange interactions and uniaxial anisotropy which corroborate the experimental findings. The values of J′/J = 0.083 and D/J = 0.357 place this compound into a hitherto unoccupied sector of the Sakai-Takahashi phase diagram.

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