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arXiv:2408.11394 · Physical review. B./Physical review. B

Competition between dimerization and vector chirality in the spin- 3 2 J 1 − J 2 Heisenberg chain with uniaxial single-ion anisotropy

Ji-Lu He, Sebastian Eggert, Hai‐Qing Lin, Xiaoqun Wang, Shijie Hu

Published Nov 13, 2024• 3 citations
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Abstract

The spin-$3/2$ chain is a versatile prototypical platform for the study of competition between different kinds of magnetic orders, with the objective of obtaining a deeper understanding of the corresponding quantum phase transitions. In this work, we investigate the spin-$3/2$ chain with nearest-neighbor ${J}_{1}$, next-nearest-neighbor ${J}_{2}$, and uniaxial single-ion anisotropy $D$ terms in the absence of a magnetic field. For positive values of ${J}_{2}/{J}_{1}$ and $D/{J}_{1}$, we find seven different phases in a rich phase diagram. Without frustration ${J}_{2}=0$, a gapless Luttinger liquid phase remains stable for all $D>0$. As ${J}_{2}$ increases, we observe three phases with distinct dimerized valence bond orders, which show an intricate competition with vector chiral order and incommensurate correlations. For large ${J}_{2}$, regions of phase coexistence between the dimerized and vector chiral orders emerge. We present large-scale numerical data for the determination of transition lines, order parameters, and the nature of the phase transitions.

DOI
10.1103/physrevb.110.195129

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