Scaling and data collapse of two-dimensional random singlet state in magnetic field
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arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866909451857952768 |
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| author | Peng, Chen Zhang, Long |
| author_facet | Peng, Chen Zhang, Long |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_08919 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Scaling and data collapse of two-dimensional random singlet state in magnetic field Peng, Chen Zhang, Long Strongly Correlated Electrons Disordered Systems and Neural Networks Statistical Mechanics 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. |
| title | Scaling and data collapse of two-dimensional random singlet state in magnetic field |
| topic | Strongly Correlated Electrons Disordered Systems and Neural Networks Statistical Mechanics |
| url | https://arxiv.org/abs/2312.08919 |