Koziol J, Langheld A, Kapfer S, Schmidt KP (2021)
Publication Type: Journal article
Publication year: 2021
Book Volume: 103
Journal Issue: 24
DOI: 10.1103/PhysRevB.103.245135
The quantum-critical properties of the transverse-field Ising model with algebraically decaying interactions are investigated by means of stochastic series expansion quantum Monte Carlo, on both the one-dimensional linear chain and the two-dimensional square lattice. We extract the critical exponents nu and beta as a function of the decay exponent of the long-range interactions. For ferromagnetic Ising interactions, we resolve the limiting regimes known from field theory, ranging from the nearest-neighbor Ising to the long-range Gaussian universality classes, as well as the intermediate regime with continuously varying critical exponents. In the long-range Gaussian regime, we treat the effect of dangerous irrelevant variables on finite-size scaling forms. For antiferromagnetic and therefore competing Ising interactions, the stochastic series expansion algorithm displays growing autocorrelation times leading to a reduced performance. Nevertheless, our results are consistent with the nearest-neighbor Ising universality for all investigated interaction ranges both on the linear chain and the square lattice.
APA:
Koziol, J., Langheld, A., Kapfer, S., & Schmidt, K.P. (2021). Quantum-critical properties of the long-range transverse-field Ising model from quantum Monte Carlo simulations. Physical Review B, 103(24). https://dx.doi.org/10.1103/PhysRevB.103.245135
MLA:
Koziol, Jan, et al. "Quantum-critical properties of the long-range transverse-field Ising model from quantum Monte Carlo simulations." Physical Review B 103.24 (2021).
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