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Physical review. B./Physical review. B

Effect of competing orders on the half-magnetization plateaus in spin-1 and spin-3/2 pyrochlore magnets

Anonymous

Published Aug 20, 2026• 0 citations
Publisher

Abstract

We use large-scale density-matrix renormalization group simulations with bond dimensions up to 20000 to determine the magnetization curves of spin-1 and spin-3/2 pyrochlore Heisenberg antiferromagnets. Both models exhibit a robust half-magnetization plateau. On the largest cubic cluster for which controlled energy extrapolations are feasible, containing 64 sites, we find that a plateau state with a 16-site magnetic unit cell (quadrupled structural unit cell) consistently has lower energy than competing ordering patterns for both spin lengths. This contrasts sharply with the prediction of the effective quantum dimer model and suggests a breakdown of the perturbative mechanism at the Heisenberg point. These results provide a nonperturbative characterization of field-induced phases in pyrochlore magnets and predictive guidance for spin-1 and spin-3/2 materials.

DOI
10.1103/p2hg-8jxs

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A Tale of Two Plateaus: Competing Orders in Spin-1 and Spin-32\tfrac{3}{2}23​ Pyrochlore Magnets
We use large-scale density-matrix renormalization group simulations with bond dimensions up to 20 00020\ 00020 000 to determine the magnetization curves of spin-1 and spin-32\tfrac{3}{2}23​ pyrochlore Heisenberg antiferromagnets. Both models exhibit a robust half-magnetization plateau, and we find that the same 16-site state (quadrupled unit cell) is selected in both cases on the largest 64-site cubic cluster we consider for the plateau state. This contrasts sharply with the effective quantum dimer model prediction which favors the ``R'' state, and demonstrates the breakdown of the perturbative mechanism at the Heisenberg point. These results provide a nonperturbative characterization of field-induced phases in pyrochlore magnets and predictive guidance for spin-1 and spin-32\tfrac{3}{2}23​ materials.
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The spin-1/2 Ising-Heisenberg branched chain composed of regularly alternating Ising spins and Heisenberg dimers involving an additional side branching is rigorously solved in a magnetic field by the transfer-matrix approach. The ground-state phase diagram, the magnetization process and the concurrence measuring a degree of bipartite entanglement within the Heisenberg dimers are examined in detail. Three different ground states were found depending on a mutual interplay between the magnetic field and two different coupling constants: the modulated quantum antiferromagnetic phase, the quantum ferrimagnetic phase, and the classical ferromagnetic phase. Two former quantum ground states are manifested in zero-temperature magnetization curves as intermediate plateaus at zero and one-half of the saturation magnetization, whereas the one-half plateau disappears at a triple point induced by a strong-enough ferromagnetic Ising coupling. The ground-state phase diagram and zero-temperature magnetization curves of the analogous spin-1/2 Heisenberg branched chain were investigated using density-matrix renormalization group calculations. The latter fully quantum Heisenberg model involves, besides two gapful phases manifested as zero and one-half magnetization plateaus, gapless quantum spin-liquid phase. The intermediate one-half plateau of the spin-1/2 Heisenberg branched chain vanishes at Kosterlitz-Thouless quantum critical point between gapful and gapless quantum ground states unlike the triple point of the spin-1/2 Ising-Heisenberg branched chain.