Quantum phase transitions of spin chiral nanotubes

TL;DR

This paper investigates the quantum phase transitions in spin-1/2 antiferromagnetic spin chiral nanotubes, revealing how spatial modulation affects their ground-state properties and phase diagrams using quantum Monte Carlo simulations.

Contribution

It introduces a study of the ground-state phase diagrams of spin chiral nanotubes with spatially modulated interactions, linking topology and chiral vectors.

Findings

Identification of phase boundaries via Lieb-Schultz-Mattis operator

Relation between phase diagram topology and chiral vector

Quantum Monte Carlo analysis of spin gap phenomena

Abstract

Recently many interesting magnetic nanostructures have been fabricated and much attention is arising on the rich magnetic properties that originate in the quantum effects eminent in the nanoscale world. One of the peculiar aspects of the quantum effects is the spin excitation gap. In the spin-1/2 low-dimensional systems, the spin gap often appears when the lattice dimerization or the frustration in the spin-spin interaction are introduced. In the present study, we investigate the ground-state property of the spin-1/2 antiferromagnetic spin chiral nanotubes with the spatial modulation in the spin-spin interaction. The ground-state phase diagrams of them are determined by observing the behavior of the expectation value of the Lieb-Schultz-Mattis slow-twist operator calculated by the quantum Monte Carlo method with the continuous-time loop algorithm. We discuss the relation between the characteristic of the topology of the phase diagram and the chiral vector of the nanotubes.