Criticality and scaling corrections for two-dimensional Heisenberg models in plaquette patterns with strong and weak couplings
| Autor: | Nvsen Ma, Xiaoxue Ran, Dao-Xin Yao |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Physics
Quantum phase transition Strongly Correlated Electrons (cond-mat.str-el) High Energy Physics::Lattice FOS: Physical sciences 02 engineering and technology Renormalization group 021001 nanoscience & nanotechnology 01 natural sciences Square lattice Condensed Matter - Strongly Correlated Electrons Critical point (thermodynamics) 0103 physical sciences Universal property 010306 general physics 0210 nano-technology Series expansion Critical exponent Scaling Mathematical physics |
| Zdroj: | Physical Review B. 99 |
| ISSN: | 2469-9969 2469-9950 |
| Popis: | We use the stochastic series expansion quantum Monte Carlo method to study the Heisenberg models on the square lattice with strong and weak couplings in the form of three different plaquette arrangements known as checkerboard models C$2\times2$, C$2\times4$ and C$4\times4$. The $a\times b$ here stands for the shape of plaquette consisting with spins connected by strong couplings. Through detailed analysis of finite-size scaling study, the critical point of C$2\times2$ model is improved as $g_{c}=0.548524(3)$ compared with previous studies with $g$ to be the ratio of weak and strong couplings in the models. For C$2\times4$ and C$4\times4$ we give $g_{c}=0.456978(2)$ and $0.314451(3)$. We also study the critical exponents $\nu$, $\eta$, and the universal property of Binder ratio to give further evidence that all quantum phase transitions in these three models are in the three-dimensional O(3) universality class. Furthermore, our fitting results show the importance of effective corrections in the scaling study of these models. Comment: 8 pages,6 figures |
| Databáze: | OpenAIRE |
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