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We present a sample of Ly{\alpha} emitters (LAEs) at $z\approx6.6$ from ourspectroscopic survey of high-redshift galaxies using the multi-objectspectrograph M2FS on the Magellan Clay telescope. The sample consists of 36LAEs selected by the narrow-band (NB921) technique over nearly 2 deg$^2$ in thesky. These galaxies generally have high Ly{\alpha} luminosities spanning arange of ${\sim}3\times10^{42}{-}7\times10^{43}$ erg s$^{-1}$, and include someof the most Ly{\alpha}-luminous galaxies known at this redshift. They show apositive correlation between the Ly{\alpha} line width and Ly{\alpha}luminosity, similar to the relation previously found in $z\approx5.7$ LAEs.Based on the spectroscopic sample, we calculate a sophisticated samplecompleteness correction and derive the Ly{\alpha} luminosity function (LF) at$z\approx6.6$. We detect a density bump at the bright end of the Ly{\alpha} LFthat is significantly above the best-fit Schechter function, suggesting thatvery luminous galaxies tend to reside in overdense regions that have formedlarge ionized bubbles around them. By comparing with the $z\approx5.7$Ly{\alpha} LF, we confirm that there is a rapid LF evolution at the faint end,but a lack of evolution at the bright end. The fraction of the neutral hydrogenin the intergalactic medium at $z\approx6.6$ estimated from such a rapidevolution is about $\sim0.3\pm0.1$, supporting a rapid and rather late processof cosmic reionization.

astrophysical journal/the astrophysical journal

The Magellan M2FS Spectroscopic Survey of High-$z$ Galaxies: Ly{\alpha}  Emitters at $z\approx6.6$ and the Evolution of Ly{\alpha} Luminosity Function  over $z\approx5.7-6.6$