Topological phase transition with p orbitals in the exciton-polariton honeycomb lattice

Abstract

We study the topological phase transition with the TE-TM splitting in the p-orbital excitonpolariton honeycomb lattice. We find that some Dirac points survive at the high-symmetry points with space-inversion symmetry breaking, which reflects the characteristic of p orbitals. A phase diagram is obtained by the gap Chern number, from which the topological phase transition takes place in the intermediate gap. There is no topological phase transition in the bottom or top gap, and its edge state has the potential application for transporting signals in optoelectronic devices. When taking into account the non-degenerate p orbitals, we find that the bottom gap arises owing to the competition between the Zeeman energy and rotating angular velocity, and topological phase transition also appears in the complete gaps. These results can facilitate the experimental investigations of the topological properties of p-orbital exciton-polariton lattice structure.

Optical analogue of Dresselhaus spin–orbit interaction in photonic graphene

“…1). Our finding is supported by the TB model developed for the p orbitals 26 , where the calculated field texture shows excellent agreement (Fig. 4b).…”

“…For the p bands we used the TB model of ref. 26 with J = −0.6 meV and δJ = 0.05 meV, which describes tunnelling of p orbitals with lobes oriented along the link connecting micropillars. In our notation J and δJ corresponds to t and Δt in ref.…”

Optical analogue of Dresselhaus spin-orbit interaction in photonic graphene

“…Note that the sign of the field for a given valley (K or K ) is opposite to the case of the s bands. Our finding is supported by the tight binding model developed for the p orbitals 23 , where the calculated field texture shows excellent agreement (Fig. 4b).…”

Electronic Quantum Materials Simulated with Artificial Model Lattices

“…The resulting quasi-particle (or excitation) of interest is hence an exciton-polariton . The geometry of the array of semiconductor pillars defines the lattice with lattice sites and hopping barriers for the exciton polaritons. − The de Broglie wavelength of exciton polaritons is large and is used to control hopping and interaction in the lattice. Exciton-polariton lattices are very powerful quantum simulators and could simulate the effects of lattice geometry on the band structure, from the single-particle regime ,− to that of (strong) interactions. − In the limit that exciton-polaritons are nearly photons, we deal with purely photonic lattices, which also have shown strong potential for quantum simulation. ,, …”