Work

Variational study of the magnetization plateaus in the spin- 1 2 kagome Heisenberg antiferromagnet: An approach from vision transformer neural quantum states

Year: 2026

Type: article

Abstract: We analyze the magnetization curve of the spin-1/2 kagome Heisenberg model in a magnetic field. Using state-of-the-art variational wave functions based on neural networks, we confirm the presence of robust magnetization plateaus at $m=1/3$, $5/9$ and $7/9$ of the saturation value, stabilized by a spontaneous symmetry breaking of lattice translations with a $\sqrt{3}\times \sqrt{3}$ unit cell. Regarding the more challenging $m=1/9$ plateau, we find two competing valence bond crystals depending on the system size, both breaking translation as well as point group symmetries and with a larger $3\times 3$ unit cell. Such quantum states with local modulations of the magnetization average values could be observed experimentally in the near future.

Source: Physical review. B./Physical review. B

DOI: 10.1103/xyzw-jtn1

Authors: Andreas Raikos, Sylvain Capponi, Fabien Alet

Institutions: Centre National de la Recherche Scientifique, Laboratoire de Physique Théorique, Université de Toulouse

Language: English

Topic: Advanced Condensed Matter Physics

Subfield: Condensed Matter Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: Agence Nationale de la Recherche, Grand Équipement National De Calcul Intensif

Award: Quantum materials above one hundred tesla