We study the variational limit of the frustrated J(1)-J(2)-J(3) spin model on the square lattice in the vicinity of the ferromagnet/helimagnet transition point as the lattice spacing vanishes. We carry out the Gamma-convergence analysis of proper scalings of the energy and we characterize the optimal cost of a chirality transition in BV proving that the system is asymptotically driven by a discrete version of a non-linear perturbation of the Aviles-taiga energy functional.
Variational Analysis of the J1-J2-J3 Model: A Non-linear Lattice Version of the Aviles-Giga Functional / Cicalese, Marco; Forster, Marwin; Orlando, Gianluca. - In: ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS. - ISSN 0003-9527. - 245:2(2022), pp. 1059-1133. [10.1007/s00205-022-01800-5]
Variational Analysis of the J1-J2-J3 Model: A Non-linear Lattice Version of the Aviles-Giga Functional
Gianluca Orlando
2022-01-01
Abstract
We study the variational limit of the frustrated J(1)-J(2)-J(3) spin model on the square lattice in the vicinity of the ferromagnet/helimagnet transition point as the lattice spacing vanishes. We carry out the Gamma-convergence analysis of proper scalings of the energy and we characterize the optimal cost of a chirality transition in BV proving that the system is asymptotically driven by a discrete version of a non-linear perturbation of the Aviles-taiga energy functional.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
