Zone-Edge Lasing in Micro-Assembled Polaritonic Crystals Long Zhang, Wei Xie, Jian Wang, Wenhui Liu, Dan Xu, Yinglei Wang, Jie Gu, Xuechu Shen, Zhanghai Chen State Key Laboratory of Surface Physics, Key Laboratory of Micro and Nano Photonic Structure (Ministry of Education), Department of Physics, Fudan University, Shanghai 200433, China Abstract: Band engineering in strongly coupled light-matter systems opens new horizons of photonics and crystal physics. ‘Polaritonic crystal’ based on the half-light half-matter quasi-particles is expected to possess unique properties such as enhanced optical nonlinearity and macroscopic quantum coherence, etc.. Here, we realize the room-temperature polaritonic crystals by simple micro-assembling. Folded energy dispersion and band gap are revealed distinctly in the momentum space, which undoubtedly demonstrate the realization of polaritonic crystal. Moreover, under intense excitation, condensate behavior appears at the edges of reduced Brillouin zones. The corresponding periodical intensity distribution in real space demonstrates the condensation of meta-stable states in our system. Experiment and Discussion Figure 1 Illustration of the assembled polaritonic crystal based on ZnO-Si microstructure. a, Schematic representation of the 1D polaritonic crystal. b, Scanning electron microscope image (top-view) of a single ZnO microrod with hexagonal cross section lying on a silicon slice with periodic structure. c,d, The angle-resolved photoluminescence (PL) spectral (k-space) mapping under cw excitation. c, Emission from a free standing ZnO microrod. d, Emission from the same ZnO microwire lying on a silicon slice. Figure 2 The energy band measured in momentum space demonstrating the formation of polaritonic crystal. a, PL mapping (second derivative) in k-space under non-resonant excitation at room temperature. Dashed curves display the calculated dispersion (mode N=105) with band gap ( 0.7 meV). b,c, Enlarged figures corresponding to the two regions labeled by white dashed rectangle in (a) respectively, displaying the well-resolved energy gap induced by the anti-crossed dispersion. Figure 3 the condensate behavior of polaritons in the nonlinear regime. a, The evolution of polariton condensates in momentum space with the pumping power increasing. b, Schematic picture for the polaritons condensate behavior in polaritonic crystal (the adjacent two polariton modes are shown). c, The integrated intensities of polaritons A-state emission as a function of pump power, corresponding to modes N=106 and N=105, respectively. The intensity of these states shows obvious threshold behavior. Conclusion Figure 4 The real-space distribution of the polariton condensate. a, Schemetic Bloch-wave functions for states labeled as A and A in Fig. 3a. b,c, Spatially resolved PL mapping along the c-axis of the microrod with the modulation periods a=2 m and a=4 m, respectively. d,e, Simulated intensity distribution of polariton condensate at state In summary, we have achieved 1D polaritonic crystals based on simply assembled ZnO-Si microstructure. Thanks to the periodical potential introduced by the silicon grating, this artificial crystal exhibits folded dispersion of exciton-polariton and well resolved band gaps at the edges of the MBZs at room temperature. Above the polariton condensate threshold, the polaritonic crystal shows strong nonlinearity and massive polaritons accumulate at the meta-stable states. By using the spatially resolved micro-photoluminescence technique, these unique condensates manifest themselves as the periodic emission patterns along the modulated direction of the rod. The results indicate that the spatially modulated ZnO microcavity is an ideal candidate for the study of polariton superlattice physics.
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