We review the problem of determining the ground states of two-dimensional Ising models with nearest neighbor ferromagnetic and dipolar interactions, and prove a new result supporting the conjecture that, if the nearest neighbor coupling JJ is sufficiently large, the ground states are periodic and “striped”. More precisely, we prove a restricted version of the conjecture, by constructing the minimizers within the variational class of states whose domain walls are arbitrary collections of horizontal and/or vertical straight lines.

Fermi, D., & Giuliani, A. (2022). Periodic striped states in Ising models with dipolar interactions. In A.L. R.L. Frank (a cura di), The Physics and Mathematics of Elliott Lieb - The 90th Anniversary Volume I (pp. 269-293) [10.4171/90-1/12].

Periodic striped states in Ising models with dipolar interactions

D. Fermi
;
A. Giuliani
2022

Abstract

We review the problem of determining the ground states of two-dimensional Ising models with nearest neighbor ferromagnetic and dipolar interactions, and prove a new result supporting the conjecture that, if the nearest neighbor coupling JJ is sufficiently large, the ground states are periodic and “striped”. More precisely, we prove a restricted version of the conjecture, by constructing the minimizers within the variational class of states whose domain walls are arbitrary collections of horizontal and/or vertical straight lines.
978-3-98547-021-1
Fermi, D., & Giuliani, A. (2022). Periodic striped states in Ising models with dipolar interactions. In A.L. R.L. Frank (a cura di), The Physics and Mathematics of Elliott Lieb - The 90th Anniversary Volume I (pp. 269-293) [10.4171/90-1/12].
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11590/413928
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