Exact physical quantities of a competing spin chain in the thermodynamic limit

TL;DR

This paper derives exact physical quantities for a complex spin chain model with competing interactions, revealing unique surface energies and excitation spectra in the thermodynamic limit.

Contribution

It provides exact solutions for a spin chain with multiple competing couplings, including boundary effects, which differ from traditional models like the Heisenberg chain.

Findings

Density of zero roots characterized

Surface energies computed in various regimes

Elementary excitations analyzed

Abstract

We study the exact physical quantities of a competing spin chain which contains many interesting and meaningful couplings including the nearest neighbor, next nearest neighbor, chiral three spins, Dzyloshinsky-Moriya interactions and unparallel boundary magnetic fields in the thermodynamic limit. We obtain the density of zero roots, surface energies and elementary excitations in different regimes of model parameters. Due to the competition of various interactions, the surface energy and excited spectrum show many different pictures from those of the Heisenberg spin chain.