We investigate quantum order by disorder in a frustrated spin nanotube formed by wrapping a J1-J2 Heisenberg model at 45∘ around a cylinder. Using Schwinger boson theory and Density Matrix Renormalization Group (DMRG), we have computed the ground-state phase diagram to reveal a Z2 phase in which collinear spin stripes form a right or left handed helix around the nanotube. We have derived an analytic estimate for the critical ηc=J1/2J2 of the Z2 helical phase transition, which is in agreement with the DMRG results. By evaluating the entanglement spectrum and nonlocal string order parameters we discuss the topology of the Z2-helical phase.
@article{arxiv.2303.04690,
title = {Quantum order by disorder in Frustrated Spin Nanotubes},
author = {João C. Getelina and Zekun Zhuang and Premala Chandra and Piers Coleman and Peter P. Orth and S. L. Sondhi},
journal= {arXiv preprint arXiv:2303.04690},
year = {2024}
}