Quantum Monte Carlo study on the phase transition for a generalized two-dimensional staggered dimerized Heisenberg model

doi:10.1088/1674-1056/21/11/116401

中国物理B ›› 2012, Vol. 21 ›› Issue (11): 116401-116401.doi: 10.1088/1674-1056/21/11/116401

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Quantum Monte Carlo study on the phase transition for a generalized two-dimensional staggered dimerized Heisenberg model

郑睿, 刘邦贵

Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China

收稿日期:2012-06-28 修回日期:2012-07-12 出版日期:2012-10-01 发布日期:2012-10-01
基金资助:
Project supported by the National Natural Science Foundation of China (Grants Nos. 11174359 and 10874232) and the National Basic Research Program of China (Grant No. 2012CB932302).

Quantum Monte Carlo study on the phase transition for a generalized two-dimensional staggered dimerized Heisenberg model

Zheng Rui (郑睿), Liu Bang-Gui (刘邦贵 )

Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China

Received:2012-06-28 Revised:2012-07-12 Online:2012-10-01 Published:2012-10-01
Contact: Zheng Rui E-mail:rzheng@iphy.ac.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grants Nos. 11174359 and 10874232) and the National Basic Research Program of China (Grant No. 2012CB932302).

摘要/Abstract

摘要： In order to gain a deeper understanding of the quantum criticality in the explicitly staggered dimerized Heisenberg models, we study a generalized staggered dimer model named J₀-J₁-J₂ model, which corresponds to the staggered J-J' model on square lattice and honeycomb lattice when J₁/J₀ equals 1 and 0, respectively. Using quantum Monte Carlo method, we investigate all the quantum critical points of these models with J₁/J₀ changing from 0 to 1 as a function of coupling ratio α=J₂/J₀. We extract all the critical values of the coupling ratio α_c for these models, and we also obtain the critical exponents ν, β/ν, and η using different finite-size scaling ansatz. All these exponents are not in consistent with the three-dimensional Heisenberg universality class, indicating some unconventional quantum ciritcial points in these models.

关键词: staggered dimer model, VBS-Neel transition, finite-size scaling, universality class

Abstract: In order to gain a deeper understanding of the quantum criticality in the explicitly staggered dimerized Heisenberg models, we study a generalized staggered dimer model named J₀-J₁-J₂ model, which corresponds to the staggered J-J' model on square lattice and honeycomb lattice when J₁/J₀ equals 1 and 0, respectively. Using quantum Monte Carlo method, we investigate all the quantum critical points of these models with J₁/J₀ changing from 0 to 1 as a function of coupling ratio α=J₂/J₀. We extract all the critical values of the coupling ratio α_c for these models, and we also obtain the critical exponents ν, β/ν, and η using different finite-size scaling ansatz. All these exponents are not in consistent with the three-dimensional Heisenberg universality class, indicating some unconventional quantum critical points in these models.

Key words: staggered dimer model, VBS-Neel transition, finite-size scaling, universality class

中图分类号: (Equilibrium properties near critical points, critical exponents)

64.60.F-

郑睿, 刘邦贵 . Quantum Monte Carlo study on the phase transition for a generalized two-dimensional staggered dimerized Heisenberg model[J]. 中国物理B, 2012, 21(11): 116401-116401.

Zheng Rui (郑睿), Liu Bang-Gui (刘邦贵 ). Quantum Monte Carlo study on the phase transition for a generalized two-dimensional staggered dimerized Heisenberg model[J]. Chin. Phys. B, 2012, 21(11): 116401-116401.

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Quantum Monte Carlo study on the phase transition for a generalized two-dimensional staggered dimerized Heisenberg model

Quantum Monte Carlo study on the phase transition for a generalized two-dimensional staggered dimerized Heisenberg model

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