Excess charges as a probe of one-dimensional topological crystalline insulating phases

Abstract

We show that in conventional one-dimensional insulators excess charges created close to the boundaries of the system can be expressed in terms of the Berry phases associated with the electronic Bloch wave functions. Using this correspondence, we uncover a link between excess charges and the topological invariants of the recently classified one-dimensional topological phases protected by spatial symmetries. Excess charges can be thus used as a probe of crystalline topologies.

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Cited by in corpus (4)

• Anomalous dielectric response in insulators with the pi Zak phase
• Topological insulators and higher-order topological insulators from gauge-invariant 1D lines
• Universal properties of boundary and interface charges in multichannel one-dimensional models without symmetry constraints
• Observation of trapped fractional charge and topological states at disclination defects in higher-order topological insulators