S = 1自旋链的双曲形变--激发能的标度关系
Hyperbolic Deformation Applied to S = 1 Spin Chains - Scaling Relation in Excitation Energy -
摘要:
研究了双曲形变S = 1自旋链的激发能,其局域能量标度为fj ^{~} = \cosh j λ,其中j为晶格指数,λ为形变参数.准粒子跳跃模型很好地描述了基元激发,也可以用双曲变形的形式表示。可以通过相对于系统尺寸N和变形参数λ的有限尺寸标度来估计均匀极限λ \rightarrow 0中的激励间隙Δ。
英文摘要:
We investigate excitation energies of hyperbolically deformed S = 1 spin chains, which are specified by the local energy scale f_j^{~} = \cosh j λ, where j is the lattice index and λis the deformation parameter. The elementary excitation is well described by a quasiparticle hopping model, which is also expressed in the form of hyperbolic deformation. It is possible to estimate the excitation gap Δin the uniform limit λ\rightarrow 0, by means of a finite size scaling with respect to the system size N and the deformation parameter λ.
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