Ground State Phase Diagram of S=1 Diamond Chains

TL;DR

This paper maps the ground-state phase diagram of a spin-1 diamond chain, revealing quantum phase transitions influenced by frustration, with bounds and numerical phase boundary determinations.

Contribution

It provides the first comprehensive phase diagram for the spin-1 diamond chain, including exact bounds and numerical phase boundary calculations.

Findings

Quantum phase transitions occur with varying frustration parameter

Exact bounds for phase boundaries are established

Numerical determination of phase boundaries extends previous work

Abstract

We investigate the ground-state phase diagram of a spin-1 diamond chain. Owing to a series of conservation laws, any eigenstate of this system can be expressed using the eigenstates of finite odd-length chains or infinite chains with spins 1 and 2. The ground state undergoes quantum phase transitions with varying $\lambda$, a parameter that controls frustration. Exact upper and lower bounds for the phase boundaries between these phases are obtained. The phase boundaries are determined numerically in the region not explored in the previous work [Takano et al. J. Phys.: Condens. Matter 8 (1996) 6405].