Here we review recent studies of mechanical metamaterials originating from or closely
related to marginally jammed solids. Unlike previous approaches mainly focusing on the …

Topological materials can host edge and corner states that are protected from disorder and
material imperfections. In particular, the topological edge states of mechanical structures …

In this Letter, an elastic twisted kagome lattice at a critical twist angle, called self-dual
kagome lattice, is shown to exhibit peculiar finite-frequency topological modes which …

Recent years have seen the discovery of systems featuring fragile topological states. These
states of matter lack certain protection attributes typically associated with topology and are …

So-called fragile topological states of matter challenge our conventional notion of topology
by lacking the robustness typically associated with topological protection, thereby displaying …

Advances in the field of topological mechanics have highlighted a number of special
mechanical properties of Maxwell lattices, including the ability to focus zero-energy floppy …

Recent developments in topological mechanics have demonstrated the ability of Maxwell
lattices to effectively focus stress along domain walls between differently polarized domains …

We introduce an amorphous mechanical metamaterial inspired by how cells pack in
biological tissues. The spatial heterogeneity in the local stiffness of these materials has been …

Twisted kagome lattices have unusual physical effects upon regulating the twist angle, an
additional degree of freedom, which has drawn attention to these lattices. Here, we extend …

Maxwell lattices are characterized by an equal number of degrees of freedom and
constraints. A subset of them, dubbed topological lattices, are capable of localizing stress …