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arXiv · 2312.08919

Scaling and data collapse of two-dimensional random singlet state in magnetic field

Chen Peng·Long Zhang
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Abstract

Quenched randomness strongly affects properties of magnetic materials. Two-dimensional (2D) random singlet (RS) states emerge in random $J$-$Q$ model by destroying valence bond solid order with spatial randomness. We examine the 2D RS state in magnetic field with quantum Monte Carlo simulations. The magnetization and susceptibilities show power-law scaling with magnetic field at low temperature. Moreover, they show one-parameter scaling behavior with $B/T$, and the scaling functions are remarkably consistent with a phenomenological model of random spin pairs with a singular distribution of interactions. These universal scaling functions can be used to diagnose 2D RS states in experiments.

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Chen Peng, Long Zhang. 2023-12-14. Scaling and data collapse of two-dimensional random singlet state in magnetic field. https://doi.org/10.1103/physrevb.111.014409

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