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We derived an analytic structure of the quark mass correction to chiralseparation effect (CSE) in small mass regime. We confirmed this structure by aD3/D7 holographic model study in a finite density, finite magnetic fieldbackground. The quark mass correction to CSE can be related to correlators ofpseudo-scalar condensate, quark number density and quark condensate in staticlimit. We found scaling relations of these correlators with spatial momentum inthe small momentum regime. They characterize medium responses to electricfield, inhomogeneous quark mass and chiral shift. Beyond the small momentumregime, we found existence of normalizable mode, which possibly leads toformation of spiral phase. The normalizable mode exists beyond a criticalmagnetic field, whose magnitude decreases with quark chemical potential.

Quark Mass Correction to Chiral Separation Effect and Pseudoscalar Condensate