https://doi.org/10.1140/epjb/s10051-024-00674-8
Regular Article - Solid State and Materials
Border effects on the ground state of an ultrathin magnetic film model
1
Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas (INIFTA), UNLP, CCT La Plata-CONICET, Sucursal 4, Casilla de Correo 16, 1900, La Plata, Argentina
2
Instituto de Física de Líquidos y Sistemas Biológicos (IFLYSIB), UNLP, CCT La Plata-CONICET, Calle 59 no. 789, B1900BTE, La Plata, Argentina
3
Departamento de Física, Universidad Nacional de La Plata c.c. 67, 1900, La Plata, Argentina
Received:
20
November
2023
Accepted:
12
March
2024
Published online:
27
March
2024
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 
, 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 
with open boundary conditions focusing our attention on the range 
. Our results show that, at intermediate values of , 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 
, which are also our best candidates to be ground state in systems of sizes up to 
. 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.
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