Family of third-order topological insulators from Su-Schrieffer-Heeger stacking
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Journal:
Physical Review B
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Abstract:
We construct a family of chiral symmetry-protected third-order topological insulators by stacking
Su-Schrieffer-Heeger (SSH) chains and provide a unified topological characterization by a series of
Bott indices. Our approach is informed by the analytical solution of corner states for the model
Hamiltonians written as a summation of the extended SSH model along three orthogonal directions.
By utilizing the generalized Pauli matrices, an enumeration of the constructed model Hamiltonians
generates ten distinct models, including the well-studied three-dimensional Benalcazar-Bernevig
Hughes model. By performing a boundary projection analysis for the ten models, we find that
certain surfaces and hinges of the systems can exhibit, respectively, nontrivial second-order and first
order topology in the phase of the third-order topological insulators. Furthermore, we analyze the
phase diagram for one of the predicted models and reveal a rich set of topological phases, including
the third-order topological insulators, second-order weak topological insulators, and second-order
nodal semimetals.
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Volume:
111
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Issue:
3
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Page Number:
035115
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Translation or Not:
no
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Date of Publication:
2025-01-15
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