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arXiv · 2311.08099

Nonuniform quadrupolar orders in the spin-3/2 generalized Heisenberg chain

Jie Chen·Shijie Hu·Lihui Pan·Xiaoqun Wang
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Abstract

The generation of nonuniform quadrupole states plays a crucial role in understanding various fascinating phenomena observed in the advancement of several research areas, e.g., multiferroic compounds, nonmagnetic superconductors, etc. In this work, we investigate the ground-state phase diagram of a generalized spin-3/2 bilinear-biquadratic-bicubic Heisenberg chain in the representation of multipolar operators. By numerical simulations with the large-scale density-matrix renormalization group (DMRG) method, we successfully identify a tetramerization phase and a stripe-Q phase. These phases are characterized by the emergence of nonuniform quadrupole orders resulting from the spontaneous breaking of translation symmetry. In particular, tetramerization phase refers to the quadrupole operators take a four-cycle, while the stripe-Q phase represents a striped pattern in quadrupole operators. Additionally, we demonstrate the presence of a Wess-Zumino-Witten (WZW) model with level k = 1 at the transition point between the dimerized (DM) phase and the Luttinger liquid (LL) phase, based on strong numerical findings.

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Jie Chen, Shijie Hu, Lihui Pan, Xiaoqun Wang. 2023-11-14. Nonuniform quadrupolar orders in the spin-3/2 generalized Heisenberg chain. https://arxiv.org/abs/2311.08099

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