Spin-glass-like ordering in a frustrated $J_1-J_2$ Ising antiferromagnet on a honeycomb lattice

Abstract

We study the nature of a low-temperature phase in the frustrated honeycomb-lattice Ising model with first- and second-neighbor antiferromagnetic (AF) interactions, $J_1$ and $J_2$, respectively, for $R=J_2/J_1>1/4$. It is known that for $R<1/4$ there is a phase transition at low temperatures to the AF phase. Nevertheless, little is known about the critical behavior of the model for $R>1/4$, except for recent effective field results which detected no phase transition down to zero temperature. Our Monte Carlo results suggest that for $R>1/4$ there is at least one peculiar phase transition accompanied by a spin-glass-like freezing to a highly degenerate state consisting of frozen domains with stripe-type AF ordering separated by zero-energy domain walls. In spite of the local ordering within the respective domains there is no ordering among them and thus, unlike in the corresponding square-lattice model with $R>1/2$, there is no conventional magnetic long-range ordering spanning the entire system.

arXiv commentCSMAG conference contribution, 6 pages, 3 figures

References in corpus (5)

• Ashkin-Teller criticality and pseudo first-order behavior in a frustrated Ising model on the square lattice
• Phase diagram of the Ising square lattice with competing interactions
• Monte Carlo studies of the square Ising model with next-nearest-neighbor interactions
• Analysis of the phase transition for the Ising model on the frustrated square lattice
• Tricritical behaviour of the frustrated Ising antiferromagnet on the honeycomb lattice

Cited by in corpus (2)

• Critical properties of the frustrated Ising model on a honeycomb lattice: A Monte Carlo study
• Frustrated Ising model on the honeycomb lattice: Metastability and universality