Quantum corrections of the biquadratic interaction in the 1D spin-1/2 frustrated ferromagnetic systems

TL;DR

This paper investigates quantum effects on biquadratic interactions in 1D spin-1/2 frustrated ferromagnetic chains, revealing phase modifications, an intermediate phase with dimer and chiral orders, and entanglement properties.

Contribution

It introduces a method to eliminate biquadratic interactions in spin-1/2 chains and explores quantum-induced phase changes and entanglement characteristics.

Findings

Identification of an intermediate phase with dimer and chiral orders.

Nearest neighbor spins are not entangled in frustrated ferromagnetic chains.

Next nearest neighbor spins are entangled in the intermediate region.

Abstract

Quantum corrections of the biquadratic interaction in the 1D spin-1/2 frustrated ferromagnetic Heisenberg model are studied. The biquadratic interaction for spin-1/2 chains is eliminated and transformed to the quadratic interaction. Doing a numerical experiment, new insight as to how the classical phases get modified on the inclusion of quantum fluctuations is provided. Observed results suggest the existence of an intermediate region in the ground state phase diagram of the frustrated ferromagnetic spin-1/2 chains with combination of dimer and chiral orders. In addition, from the quantum entanglement view point, differences between quantum phases are also obtained. The nearest neighbor spins never be entangled in the frustrated ferromagnetic chains but are entangled up to the Majumdar-Ghosh point in the frustrated antiferromagnetic chains. On the other hand, the next nearest neighbor spins in the mentioned intermediate region are entangled.