Border effects on the ground state of an ultrathin magnetic film model

C. M. Horowitz () and E. S. Loscar ()
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C. M. Horowitz: UNLP, CCT La Plata-CONICET, Sucursal 4
E. S. Loscar: UNLP, CCT La Plata-CONICET

The European Physical Journal B: Condensed Matter and Complex Systems, 2024, vol. 97, issue 3, 1-10

Abstract: Abstract In the study of ultrathin magnetic films, one of the most simple and widely studied model is the two-dimensional Ising model with short-range ferromagnetic exchange and long-range antiferromagnetic dipolar interactions (ILRA model). In substrates with periodic boundary conditions, it is well known that the ground state of this system, depending on the strength parameter $$\delta $$ δ , is given by the antiferromagnetic, the irregular checkerboard and the striped states. In this work, we study the border effects on the ground state. We develop a systematic study on square substrates of size $$L\times L$$ L × L with open boundary conditions focusing our attention on the range $$0.35\leqslant \delta \leqslant 0.75$$ 0.35 ⩽ δ ⩽ 0.75 . Our results show that, at intermediate values of $$\delta $$ δ , none of the configurations present on substrates with periodic boundary conditions correspond to the ground state of the system. Specifically, we find three new kinds of ground states for $$ L \le 8 $$ L ≤ 8 , which are also our best candidates to be ground state in systems of sizes up to $$ L = 100$$ L = 100 . Also, by means of the same systematic study on a similar short-range model, we analyze which of these ground states is a consequence of the long-range character of the dipolar interactions in the ILRA model. Graphical Abstract Ground states for $$8 \times 8$$ 8 × 8 lattice in the range of the strength parameter $$0.35\leqslant \delta \leqslant 0.75$$ 0.35 ⩽ δ ⩽ 0.75

Date: 2024
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DOI: 10.1140/epjb/s10051-024-00674-8

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