Ground State Phase Diagram of Frustrated S=1 XXZ chains : Chiral Ordered Phases

TL;DR

This paper maps the ground-state phase diagram of frustrated S=1 XXZ chains, revealing six phases including chiral ordered states, and analyzes their critical properties using advanced numerical methods.

Contribution

The study identifies and characterizes six distinct phases in frustrated S=1 XXZ chains, including novel chiral ordered phases, using the infinite-system DMRG method.

Findings

Six different phases identified: Haldane, gapped chiral, gapless chiral, double Haldane, Ne9el, double Ne9el.

Chiral phases exhibit spontaneous parity breaking with long-range chirality order.

Chiral phases occur broadly for b4 < 0.95, with detailed critical behavior analyzed.

Abstract

The ground-state phase diagram of frustrated S=1 XXZ spin chains with the competing nearest- and next-nearest-neighbor antiferromagnetic couplings is studied using the infinite-system density-matrix renormalization-group method. We find six different phases, namely, the Haldane, gapped chiral, gapless chiral, double Haldane, N\'{e}el, and double N\'{e}el (uudd) phases. The gapped and gapless chiral phases are characterized by the spontaneous breaking of parity, in which the long-range order parameter is a chirality, \kappa_l = S_l^xS_{l+1}^y-S_l^yS_{l+1}^x, whereas the spin correlation decays either exponentially or algebraically. These chiral ordered phases appear in a broad region in the phase diagram for \Delta < 0.95, where \Delta is an exchange-anisotropy parameter. The critical properties of phase transitions are also studied.