TY - JOUR

T1 - Quantum criticality at finite temperature for two-dimensional JQ3 models on the square and the honeycomb lattices

AU - Peng, J. H.

AU - Tan, D. R.

AU - Huang, L. W.

AU - Jiang, F. J.

N1 - Publisher Copyright:
© 2022 The Physical Society of the Republic of China (Taiwan)

PY - 2022/6

Y1 - 2022/6

N2 - We study the quantum criticality at finite temperature for three two-dimensional (2D) JQ3 models using the first principles quantum Monte Carlo calculations (QMC). In particular, the associated universal quantities are obtained, and their inverse temperature dependence is investigated. The considered models are known to have quantum phase transitions from the Néel order to the valence-bond solid, and these transitions are shown to be possibly of second order for two of the studied models, with the remaining one being of first order. When the temperature dependence of the studied universal quantities is considered, we observe substantial differences between the two models likely possessing second-order phase transitions and the remaining model. Moreover, by using the associated data from both the models that may have continuous transitions, good data collapses are obtained for a number of the considered universal quantities. The findings presented here provide numerical evidence to support particular results established in the literature regarding the nature of the phase transitions of these JQ3 models, and can be employed as useful criterions to distinguish second-order phase transitions from first-order ones for the exotic criticalities of the JQ-type models.

AB - We study the quantum criticality at finite temperature for three two-dimensional (2D) JQ3 models using the first principles quantum Monte Carlo calculations (QMC). In particular, the associated universal quantities are obtained, and their inverse temperature dependence is investigated. The considered models are known to have quantum phase transitions from the Néel order to the valence-bond solid, and these transitions are shown to be possibly of second order for two of the studied models, with the remaining one being of first order. When the temperature dependence of the studied universal quantities is considered, we observe substantial differences between the two models likely possessing second-order phase transitions and the remaining model. Moreover, by using the associated data from both the models that may have continuous transitions, good data collapses are obtained for a number of the considered universal quantities. The findings presented here provide numerical evidence to support particular results established in the literature regarding the nature of the phase transitions of these JQ3 models, and can be employed as useful criterions to distinguish second-order phase transitions from first-order ones for the exotic criticalities of the JQ-type models.

KW - Deconfined quantum criticality

KW - JQ models

KW - Quantum critical regime

KW - Universal scaling

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U2 - 10.1016/j.cjph.2021.09.017

DO - 10.1016/j.cjph.2021.09.017

M3 - Article

AN - SCOPUS:85129378156

SN - 0577-9073

VL - 77

SP - 1598

EP - 1609

JO - Chinese Journal of Physics

JF - Chinese Journal of Physics

ER -