AI 中文总结
本研究以保真度 susceptibility为指标，探究含次近邻跃迁项的SSH模型的拓扑相变，发现其保真度 susceptibility在相变点发散，且交错势不改变发散标度指数。
AI 中文摘要
本研究以保真度 susceptibility为指标，研究了含次近邻跃迁项的Su-Schrieffer-Heeger（SSH）模型中的拓扑相变。此前已通过保真度 susceptibility的发散现象确定了标准SSH模型的拓扑相变点，本文采用相同方法，发现保真度 susceptibility在相变点处发生发散。此外，还探究了交错势对保真度 susceptibility的影响，通过精确对角化方法得到了有限长链上保真度 susceptibility的解析表达式及其数值估算结果，两种方法下保真度 susceptibility均在相变点处呈现尖锐峰值，数值求得的发散标度指数与不含次近邻项的标准SSH模型的标度指数一致。
英文摘要
In this study, topological phase transition in Su-Schrieffer-Heeger (SSH) model with a further neighbour hopping term has been studied in terms of fidelity susceptibility. Topological phase transition point in the standard SSH model has been identified before by noting the divergence of fidelity susceptibility. The same approach has been employed here where fidelity susceptibility is found to diverge at the phase transition points. Additionally, effect of staggered potential on the fidelity susceptibility has been explored. Analytic expression for fidelity susceptibility has been obtained along with its numerical estimation on finite chains by exact diagonalization. Fidelity susceptibility exhibits sharp peaks at the phase transition points in both approaches. Scaling exponent of this divergence has been obtained numerically which is found to agree to that of the standard SSH model without further neighbour terms.
Comments14 pages, 11 figures
