Dislocation charges reveal two-dimensional topological crystalline invariants

Abstract

We identify a one-to-one correspondence between the charge localized around a dislocation characterized by a generic Burgers vector and the Berry phase associated with the electronic Bloch waves of two-dimensional crystalline insulators. Using this correspondence, we reveal a link between dislocation charges and the topological invariants of inversion and rotation symmetry-protected insulating phases both in the absence and in the presence of time-reversal symmetry. Our findings demonstrate that dislocation charges can be used as generic probes of crystalline topologies.

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Cited by in corpus (23)

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• Higher-order bulk-boundary correspondence for topological crystalline phases
• Fractional disclination charge in two-dimensional $C_n-$symmetric topological crystalline insulators
• Experimental realization of single-plaquette gauge flux insertion and topological Wannier cycles
• Vortex states in an acoustic Weyl crystal with a topological lattice defect
• Electric polarization as a nonquantized topological response and boundary Luttinger theorem
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• Non-Hermitian skin effect of dislocations and its topological origin
• Bound states at partial dislocation defects in multipole higher-order topological insulators
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• On the topological immunity of corner states in two-dimensional crystalline insulators
• Geometric orbital magnetization in adiabatic processes
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• Crystalline invariants of fractional Chern insulators
• Basic postulates of some coordinate transformations within material media