The authors report on the systematic variation of the onset of lasing in high- photonic crystal nanolasers. A series of nanocavities has been designed to systematically approach the high- devices by controlling the number of modes in the -shell spectrum of InAs quantum dots at . The lasing action is confirmed by the observation of coherent-state transition to Poissonian photon statistics. The quantitative analysis reveals the high of 0.69, 0.44, and 0.19 for the nanocavities with one, two, and three modes, respectively. By mapping the observed lasing transitions to factors, the authors demonstrate the interplay of and lasing performance.
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A pump power, at which the slope of versus pump power is maximized, is taken as . In our calculation, the photon number fluctuation is also maximized at , in agreement with the criteria of Ref. 12.