Continuous transformation between ferro and antiferro circular structures in J1-J2-J3 frustrated Heisenberg model

Abstract

Frustrated magnetic compounds, in particular low-dimensional, are topical research due to the persistent uncovering of novel nontrivial quantum states and potential applications. The problem of this field is that many important results are scattered over the localized parameter ranges, while areas in between still contain hidden interesting effects. We consider the J1-J2-J3 Heisenberg model on the square lattice and use the spherically symmetric selfconsistent approach for spin spin Green s functions in quasielastic approximation. We have found a new local order in spin liquids: antiferromagnetic isotropical helices. On the structure factor we see circular concentric dispersionless structures, while on any radial direction the excitation spectrum has roton minima. That implies nontrivial magnetic excitations and consequences in magnetic susceptibility and thermodynamics. On the J1-J2-J3 exchange parameters globe we discover a crossover between antiferromagnetic-like local order and ferromagnetic-like; we find stripe-like order in the middle. In fact, our quasielastic approach allows investigation of the whole J1-J2-J3 globe. © 2019 Institute of Physics Publishing. All rights reserved.