A review of topological carbon allotropes argues that carbon materials host a rich family of spinless topological semimetal phases, driven by p-orbital and lattice symmetries.
Imaging nodal knots in momentum space through topolectrical circuits
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abstract
Knots are intricate structures that cannot be unambiguously distinguished with any single topological invariant. Momentum space knots, in particular, have been elusive due to their requisite finely tuned long-ranged hoppings. Even if constructed, probing their intricate linkages and topological "drumhead" surface states will be challenging due to the high precision needed. In this work, we overcome these practical and technical challenges with RLC circuits, transcending existing theoretical constructions which necessarily break reciprocity, by pairing nodal knots with their mirror image partners in a fully reciprocal setting. Our nodal knot circuits can be characterized with impedance measurements that resolve their drumhead states and image their 3D nodal structure. Doing so allows for reconstruction of the Seifert surface and hence knot topological invariants like the Alexander polynomial. We illustrate our approach with large-scale simulations of various nodal knots and an experiment that maps out the topological drumhead region of a Hopf-link.
fields
cond-mat.mtrl-sci 1years
2019 1verdicts
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Topological carbon materials: a new perspective
A review of topological carbon allotropes argues that carbon materials host a rich family of spinless topological semimetal phases, driven by p-orbital and lattice symmetries.