We study the discrete-to-continuum limit of the helical XY S-2-spin system on the lattice Z(2). We scale the interaction parameters in order to reduce the model to a spin chain in the vicinity of the Landau-Lifschitz point and we prove that at the same energy scaling under which the S-1-model presents scalar chirality transitions, the cost of every vectorial chirality transition is zero. In addition we show that if the energy of the system is modified penalizing the distance of the S-2-field from a finite number of copies of S-1, it is still possible to prove the emergence of nontrivial (possibly trace-dependent) chirality transitions.
Chirality transitions in frustrated S2-valued spin systems
Solombrino, Francesco
2016-01-01
Abstract
We study the discrete-to-continuum limit of the helical XY S-2-spin system on the lattice Z(2). We scale the interaction parameters in order to reduce the model to a spin chain in the vicinity of the Landau-Lifschitz point and we prove that at the same energy scaling under which the S-1-model presents scalar chirality transitions, the cost of every vectorial chirality transition is zero. In addition we show that if the energy of the system is modified penalizing the distance of the S-2-field from a finite number of copies of S-1, it is still possible to prove the emergence of nontrivial (possibly trace-dependent) chirality transitions.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
