August 1, 2025AIP AdvancesOpen Access

Exploiting ϑ-functions for the identification of topological materials

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Bloch states are identified for materials with non-trivial topological electronic band structures, revealing novel algorithms for analysis.
An exact expression for Bloch states is derived using Gaussian type orbitals and evaluated against modular forms and symmetries.
The approach integrates group theory with continuity requirements to develop a method for determining band inversions in materials.
This methodology highlights potential new applications in the field of topological materials and offers future research avenues.

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Analytical model determines band inversions in topological materials using Bloch states and group symmetries, suggesting new methodologies.

Emanuele Maggio (2025) studied this question.

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Analytical model determines band inversions in topological materials using Bloch states and group symmetries, suggesting new methodologies.