Krämer C, Koziol J, Langheld A, Hörmann M, Schmidt KP (2024)
Publication Language: English
Publication Type: Journal article
Publication year: 2024
Book Volume: 17
Article Number: 061
Journal Issue: 2
DOI: 10.21468/SciPostPhys.17.2.061
We study the ferromagnetic transverse-field Ising model with quenched disorder at T = 0 in one and two dimensions by means of stochastic series expansion quantum Monte Carlo simulations using a rigorous zero-temperature scheme. Using a sample-replication method and averaged Binder ratios, we determine the critical shift and width exponents νs and νw as well as unbiased critical points by finite-size scaling. Further, scaling of the disorder-averaged magnetisation at the critical point is used to determine the order-parameter critical exponent β and the critical exponent νav of the average correlation length. The dynamic scaling in the Griffiths phase is investigated by measuring the local susceptibility in the disordered phase and the dynamic exponent z′ is extracted. By applying various finite-size scaling protocols, we provide an extensive and comprehensive comparison between the different approaches on equal footing. The emphasis on effective zero-temperature simulations resolves several inconsistencies in existing literature.
APA:
Krämer, C., Koziol, J., Langheld, A., Hörmann, M., & Schmidt, K.P. (2024). Quantum-critical properties of the one- and two-dimensional random transverse-field Ising model from large-scale quantum Monte Carlo simulations. SciPost Physics, 17(2). https://doi.org/10.21468/SciPostPhys.17.2.061
MLA:
Krämer, Calvin, et al. "Quantum-critical properties of the one- and two-dimensional random transverse-field Ising model from large-scale quantum Monte Carlo simulations." SciPost Physics 17.2 (2024).
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