Topologically protected pseudospins in 2D spring-mass system
arXiv:1809.01831 · doi:10.1088/1367-2630/aaf341
Abstract
It is proposed that a lattice, with constituent masses and spring constants, may be considered as a model system for topological matter. For instance, a relative variation of the inter- and intra-unit cell spring constants can be used to create, tune, and invert band structure. Such an aspect is obtained while preserving time reversal symmetry, and consequently emulates the quantum spin Hall effect. The modal displacement fields of the mass-spring lattice were superposed so to yield pseudospin fields, with positive or negative group velocity. Considering that harmonic oscillators are the basis of classical and quantum excitations over a range of physical systems, the spring-mass system yields further insight into the constituents and possible utility of topological material.
31 pages, 11 figures
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- Phase transitions of non-Abelian charged nodal links in a spring-mass system
- Non-conventional topological band properties and gapless helical edge states in elastic phononic waveguides with Kekulé distortion
- On-chip unidirectional waveguiding for surface acoustic waves along a defect line in a triangular lattice
- Weyl points and topological surface states in a three-dimensional elastic lattice
- Topological phase transition in disordered elastic quantum spin Hall system
- Characterization of elastic topological states using dynamic mode decomposition
- Emergent topological phases in an extended Su-Schrieffer-Heeger model with Rashba spin-orbit interaction, higher order hopping and domain wall