Weyl points of mechanical diamond

@article{Takahashi2019WeylPO,
  title={Weyl points of mechanical diamond},
  author={Yuta Takahashi and Toshikaze Kariyado and Yasuhiro Hatsugai},
  journal={Physical Review B},
  year={2019}
}
A spring-mass model arranged in a diamond structure---mechanical diamond---is analyzed in terms of topology in detail. We find that, additional springs connecting the next-nearest-neighboring pairs of mass points and the modulation of the mass parameters to the pristine mechanical diamond generates several pairs of Weyl points in the frequency dispersion. Evolution of the Weyl point mapping in the Brillouin zone against uniform outward tension is shown and explained from the view point of the… 
4 Citations

Figures from this paper

Higher-order topological phases in a spring-mass model on a breathing kagome lattice

We propose a realization of higher-order topological phases in a spring-mass model with a breathing kagome structure. To demonstrate the existence of the higher-order topological phases, we

Observation of a Charge-2 Photonic Weyl Point in the Infrared.

The experimental observation of a charge-2 photonic Weyl point in a low-index-contrast photonic crystal fabricated by two-photon polymerization closely matches simulations and shows two bands with quadratic dispersion around a point degeneracy.

Square-root topological semimetals

We propose topological semimetals generated by the square-root operation for tight-binding models in two and three dimensions, which we call square-root topological semimetals. The square-root

Nodal lines in momentum space: topological invariants and recent realizations in photonic and other systems

Abstract Topological insulators constitute one of the most intriguing phenomena in modern condensed matter theory. The unique and exotic properties of topological states of matter allow for

References

SHOWING 1-10 OF 40 REFERENCES

Edge states of mechanical diamond and its topological origin

A mechanical diamond, with the classical mechanics of a spring-mass model arrayed on a diamond lattice, is discussed topologically. Its frequency dispersion possesses an intrinsic nodal structure in

Mechanical graphene

We present a model of a mechanical system with a vibrational mode spectrum identical to the spectrum of electronic excitations in a tight-binding model of graphene. The model consists of point masses

Mechanical Weyl Modes in Topological Maxwell Lattices.

We show that two-dimensional mechanical lattices can generically display topologically protected bulk zero-energy phonon modes at isolated points in the Brillouin zone, analogs of massless fermion

Coriolis force induced topological order for classical mechanical vibrations

We show that topological order and vibrational edge modes can exist in a classical mechanical system consisting of a two-dimensional honeycomb lattice of masses and springs. The band structure shows

Multiple Weyl and double-Weyl points in an elastic chiral lattice

We show that multiple Weyl and double-Weyl points (DWPs) arise in a chiral elastic system through stacking two-dimensional honeycomb mechanical structures. On the distinct kz plane, the band

Manipulation of Dirac Cones in Mechanical Graphene

The vibration spectrum of mechanical graphene is characterized by Dirac cones serving as sources of topological nontriviality, and it is found that the spectrum has dramatic dependence on the spring tension at equilibrium as a natural control parameter.

Topological nodal semimetals

We present a study of “nodal-semimetal” phases in which nondegenerate conduction and valence bands touch at points (the “Weyl semimetal”) or lines (the “line-node semimetal”) in three-dimensional

A simple model for the vibrational modes in honeycomb lattices

The classical lattice dynamics of honeycomb lattices is studied in the harmonic approximation. Interactions between nearest neighbours are represented by springs connecting them. A short and

Multi-Weyl topological semimetals stabilized by point group symmetry.

We perform a complete classification of two-band k·p theories at band crossing points in 3D semimetals with n-fold rotation symmetry and broken time-reversal symmetry. Using this classification, we

Coriolis Force Induced Quantum Hall Effect for Phonons

A two-dimensional mass-spring system with Honeycomb lattice for mimicking phononic quantum Hall effect is proposed. Its band structure shows the existence of Dirac cones and unconventional edge