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In this work, we investigate collective modes in a nodal line semimetal withtwo nodal-lines that have opposite spin polarization in the presence of spinpopulation imbalance. We find the components of polarization operator takinginto account the electron-electron exchange interaction and obtain thedispersion relations of collective modes for the bulk and surface states. Thereexist four modes in the bulk, among which one is gapless and other three aregapped. The gapless surface mode is sensitive to the boundary conditions.

Collective modes in imbalanced nodal line semimetal