NMoasis said: Albireo
Yes, they go dormant in freezing winter. Perfectly normal. I usually leave dead growth on until late winter/early spring, then trim off all but a couple inches or just above new emerging growth.
According to our database Miscanthus sinensis are at their lowest hardiness limit in zone 5. Because yours haven't been in the ground very long and might not have fully established roots, I'd recommend heavy mulch this winter.