标题： 一维手性对称系统中的拓扑有限尺寸效应 显示英文标题

标题： Topological finite size effect in one-dimensional chiral symmetric systems

摘要： 物质的拓扑相已被广泛研究，因其对杂质和无序具有鲁棒性。 拓扑材料的广泛应用依赖于从理想化的、数学上完美的模型到有限的现实应用的可靠转换。 在本文中，我们探讨了有限尺寸和无序对拓扑性质的影响。 我们提出了一种新的标准，用于基于拓扑边缘模式的体电导率来表征有限的拓扑系统。 我们对SSH模型族的体电导率和实空间拓扑不变量进行了分析，既包括解析分析也包括数值分析。 我们表明，我们的方法为当代中等规模实验应用中的拓扑确定提供了实际见解。 显示英文摘要

摘要： Topological phases of matter have been widely studied for their robustness against impurities and disorder. The broad applicability of topological materials relies on the reliable transition from idealized, mathematically perfect models to finite, real-world implementations. In this paper, we explore the effects of finite size and disorders on topological properties. We propose a new criterion for characterizing finite topological systems based on the bulk conductivity of topological edge modes. We analyze the behavior of bulk conductivity and real space topological invariants both analytically and numerically for the family of SSH models. We show that our approach offers practical insights for topology determination in contemporary intermediate scale experimental applications.