Spontaneous topological transitions in a honeycomb lattice of exciton-polariton condensates due to spin bifurcations

Abstract

We theoretically study the spontaneous formation of the quantum anomalous Hall effect in a graphene system of spin-bifurcated exciton-polariton condensates under nonresonant pumping. We demonstrate that, depending on the parameters of the structure, such as intensity of the pump and coupling strength between condensates, the system shows rich variety of macroscopic magnetic ordering, including analogs of ferromagnetic, antiferromagnetic, and resonant valence bond phases. Transitions between these magnetic polarized phases are associated with dramatic reshaping of the spectrum of the system connected with spontaneous appearance of topological order.

Exciton-Polariton Topological Insulator with an Array of Magnetic Dots

“…The existing proposals have been based on such effects as the nonlinear dynamics under resonant pumping [20], time or spin-dependent pumping [21], and spontaneous symmetry breaking [22,23]. However, all these proposals have their technological limitations.…”

Photonic Berry curvature in double liquid crystal microcavities with broken inversion symmetry

“…Of interest, it was shown in longitudinally coupled cavities [19] that exciton-polariton quasiparticles possessed excitation power-dependent spin textures appearing from interplay between their inherited photonic SOC and exciton-exciton interactions. Although anisotropic spinor polariton interactions can produce effective magnetic fields for topological purposes [20] it is unpractical in a pure photonic setting where nonlinearities are weak. On the other hand, compound LC cavity systems have not been consid-ered until now to provide access to new photonic gauge field physics.…”

One-Way Reflection-Free Exciton-Polariton Spin-Filtering Channel

“…S1-S3) and ∆ T determines the group velocity of the edge state. It should be stressed that instead of the magnetic field (Zeeman splitting), the nonresonant excitation can itself break the symmetry between the two spins [32,33]. For the rest of the paper we will focus on the top most edge state and although here only σ + spin polarized polaritons are filtered, the same can be done for the σ − spin polarized polaritons…”