Effective spin-2 quasi-particles at linear dispersive five-fold degenerate points with tunable topological Chern numbers

DOI10.1016/J.PHYSLETA.2019.04.016zbMATH Open1489.82074arXiv1905.08435OpenAlexW2936984452MaRDI QIDQ2231237

Yanyan Li

Publication date: 29 September 2021

Published in: Physics Letters. A (Search for Journal in Brave)

Abstract: In this work, which is based on spin-2 vectors and traceless spin-2 tensors, an effective Hamiltonian is constructed with a linearly dispersive five-fold degenerate point with spin-2 vector-momentum couplings. For the model without spin-2 vector-tensor coupling, the topological Chern numbers of five bands are calculated as 4, 2, 0, -2, -4. After including spin-2 vector-tensor coupling, separate topological Chern numbers are obtained for different couplings. A cubic lattice of atoms with five internal states is designed to realize two five-fold degenerate points. The Chern numbers of the bands can be changed by tuning the coupling coefficient. In this work we propose a theoretical design to obtain spin-2 quasi-particles.

Full work available at URL: https://arxiv.org/abs/1905.08435

zbMATH Keywords

Cherntopological bandspin-2

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Statistical mechanics in condensed matter (general) (82D03)

Cites Work

• Berry phase effects on electronic properties
• Experimental observation of Weyl points
• Evidence for the chiral anomaly in the Dirac semimetal Na ₃ Bi
• New kinetic interactions for massive gravity?

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