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Spontaneous Parity Breaking in Quantum Antiferromagnets on the Triangular Lattice.

Created on 14 Nov 2026

Authors

Songtai Lv, Yuchen Meng, Haiyuan Zou

Published in

Physical review letters. Volume 137. Issue 18. Pages 186702. Oct 30, 2026.

Abstract

Frustration on the triangular lattice has long been a source of intriguing and often debated phases in many-body systems. Although symmetry analysis has been employed, the role of the seemingly trivial parity symmetry has received little attention. In the work described in this Letter, we show that phases induced by frustration are systematically shaped by an implicit rule of thumb associated with spontaneous parity breaking in a weak longitudinal field. This principle enables us to anticipate and rationalize the regimes and conditions under which nontrivial phases emerge. For the spin-S antiferromagnetic XXZ model, we demonstrate that a controversial parity-broken phase appears at intermediate values of S. In bilayer systems, enhanced frustration leads to additional phases, such as supersolids, whose properties can be classified by their characteristic parity features. Benefiting from our improved tensor network contraction techniques, we confirm these results through large-scale tensor-network calculations. This study offers an alternative viewpoint and a systematic approach for examining the interplay between spin, symmetry, and frustration in many-body systems.

PMID:
43024900
Bibliographic data and abstract were imported from PubMed on 14 Nov 2026.

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