News
- Nov. 2011
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- Talk "Magnetic Structure of Ground States in Spatially Anisotropic Triangular Antiferromagnets"
- November 9, 2:00pm - 2:30pm in NQS2011
- ABSTRACT: We report variational calculations for the ground states in the spatially anisotropic triangular antiferromagnets. The variational wave function is based on the tensor network with an entanglement renormalization. The entanglement renormalization improves the ability of describing a quantum state. We define two groups of Heisenberg couplings on a triangular lattice: one on links along a lattice axis and the other on other links. $J_1 and J_2$ denote the coefficient of their couplings, respectively. We confirm a magnetic phase in the region of $0.7 < J_2/J_1 \le 1$. The magnetic structure is incommensurate, and the wave vector is not consistent with that of a classical model except for $J_1=J_2$.
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- Article "Bayesian Inference in the Scaling Analysis of Critical Phenomena"
- ABSTRACT: To determine the universality class of critical phenomena, we propose a method of statistical inference in the scaling analysis of critical phenomena. The method is based on Bayesian statistics, most specifically, the Gaussian process regression. It assumes only the smoothness of a scaling function, and it does not need a form. We demonstrate this method for the finite-size scaling analysis of the Ising models on square and triangular lattices. Near the critical point, the method is comparable in accuracy to the least-square method. In addition, it works well for data to which we cannot apply the least-square method with a polynomial of low degree. By comparing the data on triangular lattices with the scaling function inferred from the data on square lattices, we confirm the universality of the finite-size scaling function of the two-dimensional Ising model.
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Physical Review E 84 (2011) 056704.
DOI: 10.1103/PhysRevE.84.056704
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