TY - JOUR
T1 - Frustrated Ferromagnetic Spin Chains
T2 - A Variational Approach to Chirality Transitions
AU - Cicalese, Marco
AU - Solombrino, Francesco
N1 - Publisher Copyright:
© 2015, Springer Science+Business Media New York.
PY - 2015/4
Y1 - 2015/4
N2 - We study the energy per particle of a one-dimensional ferromagnetic/antiferromagnetic frustrated spin chain with nearest and next-to-nearest interactions close to the helimagnet/ferromagnet transition point as the number of particles diverges. We rigorously prove the emergence of chiral ground states, and we compute, by performing the (Formula presented.)-limits of proper renormalizations and scalings, the energy for a chirality transition.
AB - We study the energy per particle of a one-dimensional ferromagnetic/antiferromagnetic frustrated spin chain with nearest and next-to-nearest interactions close to the helimagnet/ferromagnet transition point as the number of particles diverges. We rigorously prove the emergence of chiral ground states, and we compute, by performing the (Formula presented.)-limits of proper renormalizations and scalings, the energy for a chirality transition.
KW - Chirality transitions
KW - Frustrated lattice systems
KW - Γ-convergence
UR - http://www.scopus.com/inward/record.url?scp=84925513608&partnerID=8YFLogxK
U2 - 10.1007/s00332-015-9230-4
DO - 10.1007/s00332-015-9230-4
M3 - Article
AN - SCOPUS:84925513608
SN - 0938-8974
VL - 25
SP - 291
EP - 313
JO - Journal of Nonlinear Science
JF - Journal of Nonlinear Science
IS - 2
ER -