The topological properties of an object, associated with an integer called the topological
invariant, are global features that cannot change continuously but only through abrupt …

Topological mechanical metamaterials have emerged with the development of topological
phases and topological phase transitions in modern condensed matter physics. Their …

Deformations of conventional solids are described via elasticity, a classical field theory
whose form is constrained by translational and rotational symmetries. However, flexible …

Concepts from quantum topological states of matter have been extensively utilized in the
past decade to create mechanical metamaterials with topologically protected features, such …

To gain high performance in electrochemical device, exquisite accelerating ion-electron
transfer is an effective way. Here, a topological idea is realized to design a micro-leave …

Disordered mechanical systems can deform along a network of pathways that branch and
recombine at special configurations called bifurcation points. Multiple pathways are …

Odd elasticity describes active elastic systems whose stress-strain relationship is not
compatible with a potential energy. As the requirement of energy conservation is lifted from …

Boundary modes localized at the edge or on the interface of topological mechanical lattices
are analogous to their electronic counterparts in topological insulators and are robust and …

Kirigami metamaterials dramatically change their shape through a coordinated motion of
nearly rigid panels and flexible slits. Here, we study a model system for mechanism-based …

Topological edge zero modes and states of self stress have been intensively studied in
discrete lattices at the Maxwell point, offering robust properties concerning surface and …