Ground-State Phase Diagram of Frustrated Antiferromagnetic S=1 Chain with Uniaxial Single-Ion-Type Anisotropy

TL;DR

This study maps the ground-state phase diagram of a frustrated S=1 Heisenberg spin chain with uniaxial anisotropy, revealing multiple chiral phases distinguished by energy gaps and order parameters.

Contribution

It identifies and characterizes three novel chiral phases in the phase diagram of a frustrated S=1 chain, expanding understanding of quantum spin chain phases.

Findings

Discovery of three distinct chiral phases: gapless chiral, chiral-Haldane, and chiral-LD.

Chiral phases differ by energy gap and string long-range order.

Phase diagram includes Haldane, large-D, double-Haldane, and new chiral phases.

Abstract

The ground-state phase diagram of a frustrated S=1 Heisenberg spin chain with uniaxial single-ion-type anisotropy is studied using the infinite-system density-matrix renormalization-group method. Particular attention is paid to "chiral" phases, in which the long-range order parameter is a vector chirality. It is found that, in addition to the Haldane, large-D (LD), and double-Haldane phases, the phase diagram includes three different chiral phases, i.e., the gapless chiral, chiral-Haldane, and chiral-LD phases. These chiral phases are distinguished from each other by the energy gap and the string long-range order.