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

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.

Keywords: staggered dimer model VBS-Neel transition finite-size scaling universality class

Received: 28 June 2012
Revised: 12 July 2012
Accepted manuscript online:

PACS:

64.60.F-

(Equilibrium properties near critical points, critical exponents)

Fund: 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).

Corresponding Authors: Zheng Rui
E-mail: rzheng@iphy.ac.cn

Cite this article:

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 2012 Chin. Phys. B 21 116401

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