Quantum phases of dimerized and frustrated Heisenberg spin chains with s = 1/2, 1 and 3/2: an entanglement entropy and fidelity study

TL;DR

This paper investigates quantum phase transitions in frustrated and dimerized one-dimensional Heisenberg spin chains with spins 1/2, 1, and 3/2 using entanglement entropy and fidelity to identify different phases and transition points.

Contribution

It provides a detailed numerical analysis of phase boundaries and quantum transitions in various spin chains using entanglement measures and fidelity, extending understanding across multiple spin magnitudes.

Findings

Identification of phase transition points via entanglement entropy and fidelity.

Characterization of gapless and gapped phases in the $J_2-\delta$ plane.

Differences in phase behavior across spin magnitudes.

Abstract

We study here different regions in phase diagrams of the spin-1/2, spin-1 and spin-3/2 one dimensional antiferromagnetic Heisenberg systems with frustration (next-nearest-neighbor interaction $J_2$) and dimerization ($\delta$). In particular, we analyze the behaviors of the bipartite entanglement entropy and fidelity at the gapless to gapped phase transitions and across the lines separating different phases in the $J_2-\delta$ plane. All the calculations in this work are based on numerical exact diagonalizations of finite systems.