Metamagnetic Transition in Low-Dimensional Site-Decorated Quantum Heisenberg Ferrimagnets

• URL: http://arxiv.org/abs/2511.06442v1
• Date: Sun, 09 Nov 2025 16:24:45 GMT
• Title: Metamagnetic Transition in Low-Dimensional Site-Decorated Quantum Heisenberg Ferrimagnets
• Authors: Weiguo Yin, A. M. Tsvelik,
• Abstract summary: We present a theoretical study of quantum Heisenberg ferrimagnets in a magnetic field.<n>We find two finite-temperature second-order transitions; just above $T_c2$ a half-ice, half-fire'' regime appears.<n>These results may shed light on new technological applications of low-dimensional quantum spin systems.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The prohibition of finite-temperature phase transition in one-dimensional (1D) Ising models and 1D/2D quantum Heisenberg models with short-range interactions fundamentally constrains the application potentials of low-dimensional magnetic materials. Recently, ultranarrow phase crossover (UNPC), which can approach a transition at a desirable finite temperature $T_0$ arbitrarily closely, was discovered in 1D decorated Ising chains and ladders. Here we present a theoretical study of similarly decorated, yet much more challenging, quantum Heisenberg ferrimagnets in a magnetic field, which features ferromagnetic backbone exchange $J$, antiferromagnetic site-decoration coupling $J_{AF}$, and different magnetic moments for the backbone and decorating spins $\mu_aS_a<\mu_bS_b$. We exactly solved the model in the large $J$ limit -- as a central-macrospin model -- and found two finite-temperature second-order transitions; just above $T_{c2}$ a ``half-ice, half-fire'' regime appears. Finite-$J$ weak-field results follow from an effective-field mapping, suggesting the emergence of UNPC at finite $T_0$ in 2D square lattices thanks to its exponentially strong initial magnetic susceptibility $\chi_0\propto e^{4\pi S_a^2 J/T_0}$, though less likely in 1D chains where $\chi_0\propto J/T_0$. These results may shed light on new technological applications of low-dimensional quantum spin systems and attract experimental and computational tests.

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