Kavli Affiliate: Long Zhang
| First 5 Authors: Chen Peng, Long Zhang, , ,
| Summary:
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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