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自洽屏蔽近似下条纹形成系统中的向列相

Nematic phase in stripe-forming systems within the self-consistent screening approximation.

作者信息

Barci Daniel G, Mendoza-Coto Alejandro, Stariolo Daniel A

机构信息

Departamento de Física Teórica, Universidade do Estado do Rio de Janeiro, Rua São Francisco Xavier 524, 20550-013 Rio de Janeiro, Brazil.

Departamento de Física, Universidade Federal do Rio Grande do Sul, CP 15051, 91501-970 Porto Alegre, RS, Brazil.

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2013 Dec;88(6):062140. doi: 10.1103/PhysRevE.88.062140. Epub 2013 Dec 23.

Abstract

We show that in order to describe the isotropic-nematic transition in stripe-forming systems with isotropic competing interactions of the Brazovskii class it is necessary to consider the next to leading order in a 1/N approximation for the effective Hamiltonian. This can be conveniently accomplished within the self-consistent screening approximation. We solve the relevant equations and show that the self-energy in this approximation is able to generate the essential wave vector dependence to account for the anisotropic character of a two-point correlation function characteristic of a nematic phase.

摘要

我们表明,为了描述具有Brazovskii类各向同性竞争相互作用的条纹形成系统中的各向同性 - 向列相转变,有必要在有效哈密顿量的1/N近似中考虑次领头阶。这可以在自洽屏蔽近似内方便地实现。我们求解相关方程,并表明在这种近似下的自能能够产生必要的波矢依赖性,以解释向列相特征的两点关联函数的各向异性特征。

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