2018/04/30 by Nvsen Ma, Phillip Weinberg, Hui Shao +4 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Condensed Matter Physics #Condensed matter physics #Critical exponent #Exponent #Ferromagnetism #Heisenberg model #Mathematics #Monotonic function #Monte Carlo method #Operator (biology) #Phase transition #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum Monte Carlo #Quantum mechanics #Scaling #Statistical physics #Statistics #Symmetry (geometry) #Theoretical and Computational Physics #cond-mat.str-el
paper · pdf · doi:10.1103/physrevlett.121.117202
published as Phys. Rev. Lett. 121, 117202 (2018) · 6 pages, 6 figures
openalex publication_date 2018/09/12 · arxiv created 2018/09/20 · arxiv updated 2018/09/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
We study the Néel-paramagnetic quantum phase transition in two-dimensional dimerized S=1/2 Heisenberg antiferromagnets using finite-size scaling of quantum Monte Carlo data. We resolve the long-standing issue of the role of cubic interactions arising in the bond-operator representation when the dimer pattern lacks a certain symmetry. We find nonmonotonic (monotonic) size dependence in the staggered (columnar) dimerized model, where cubic interactions are (are not) present. We conclude that there is a new irrelevant field in the staggered model, but, at variance with previous claims, it is not the leading irrelevant field. The new exponent is ω2≈1.25 and the prefactor of the correction L^-ω2 is large and comes with a different sign from that of the conventional correction with ω1≈0.78. Our study highlights competing scaling corrections at quantum critical points.