Observation of Custodial Chiral Symmetry in Memristive Topological Insulators

TL;DR

This paper reports the first experimental observation of custodial chiral symmetry in a memristive topological insulator, demonstrating symmetry protection of edge states and providing insights into emulating field-theoretic concepts in condensed matter systems.

Contribution

It presents the first experimental evidence of custodial chiral symmetry in a memristive SSH circuit, linking high-energy physics concepts with topological insulator analogs.

Findings

Custodial symmetry observed experimentally in memristive circuits.

Topological edge states remain localized and protected by this symmetry.

Lagrangian corrections vanish as perturbations are reduced.

Abstract

The concept of custodial symmetry, a residual symmetry that protects physical observables from large quantum corrections, has been a cornerstone of high-energy physics, but its experimental observation has remained unexplored. Building on recent theoretical work [Phys. Rev. Lett. 128, 097701 (2022)], we report the first experimental observation of classical analog of custodial chiral symmetry in a memristive Su-Schrieffer-Heeger (SSH) circuit. We provide direct experimental evidence for custodial symmetry through the measurement of the correction to the Lagrangian. This Lagrangian correction, which mimics a mass term in field theory, vanishes smoothly as the perturbation is reduced. We also demonstrate that topological edge states in the memristive SSH circuit remain localized at the boundary, protected by custodial chiral symmetry. This work opens new avenues for emulating field-theoretic symmetries and nonlinear dynamics in memristive platforms.