What question did this study set out to answer?

To classify topological ground states in one- and two-dimensional insulators protected solely by inversion point-group symmetry using Wilson-loop formulations.

August 21, 2012Open Access

Wilson-Loop Characterization of Inversion-Symmetric Topological Insulators

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To classify topological ground states in one- and two-dimensional insulators protected solely by inversion point-group symmetry using Wilson-loop formulations.
Analyzed Berry phases and Wilson loops for electronic ground states in translationally-invariant crystal lattices.
Derived topological classifications and invariants for one- and two-dimensional inversion-symmetric insulators.
Identified that 1D and 2D insulators with inversion symmetry exhibit a non-negative integer classification.
Discovered a 2D relative winding number protected strictly by inversion symmetry, closely resembling the time-reversal Z2 topological invariant.

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Implication

Theoretical study demonstrates a classification and relative winding number in inversion-symmetric insulators, highlighting connections to geometric phases.

Cite This Study

Alexandradinata et al. (2012) studied this question.

synapsesocial.com/papers/6a16c19c0631ba25057b82bd https://doi.org/10.48550/arxiv.1208.4234

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Implication

Theoretical study demonstrates a classification and relative winding number in inversion-symmetric insulators, highlighting connections to geometric phases.

Wilson-Loop Characterization of Inversion-Symmetric Topological Insulators

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Discussion

Implication

Cite This Study

Wilson-Loop Characterization of Inversion-Symmetric Topological Insulators

Key Points

Discussion

Implication

Cite This Study

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