Topological finite size effect in one-dimensional chiral symmetric systems

Kavli Affiliate: Eliska Greplova

| First 5 Authors: Guliuxin Jin, D. O. Oriekhov, Lukas Johannes Splitthoff, Eliska Greplova,

| Summary:

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.

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