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Condensed Matter > Soft Condensed Matter
Title: Mirror-symmetry protected higher-order topological zero-frequency boundary and corner modes in Maxwell lattices
(Submitted on 3 Mar 2023 (v1), last revised 21 Aug 2023 (this version, v2))
Abstract: Maxwell lattices, where the number of degrees of freedom equals the number of constraints, are known to host topologically-protected zero-frequency modes and states of self stress, characterized by a topological index called topological polarization. In this letter, we show that in addition to these known topological modes, with the help of a mirror symmetry, the inherent chiral symmetry of Maxwell lattices creates another topological index, the mirror-graded winding number (MGWN). This MGWN is a higher order topological index, which gives rise to topological zero modes and states of self stress at mirror-invariant domain walls and corners between two systems with different MGWNs. We further show that two systems with same topological polarization can have different MGWNs, indicating that these two topological indices are fundamentally distinct.
Submission history
From: Siddhartha Sarkar [view email][v1] Fri, 3 Mar 2023 16:42:29 GMT (3682kb,D)
[v2] Mon, 21 Aug 2023 02:58:32 GMT (3684kb,D)
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