Tanumoy Mandal, Prashanth Jaikumar
We investigate the effect of electric and color charge neutrality on the two-flavor color superconducting (2SC) phase of cold and dense quark matter in presence of constant external magnetic fields and at moderate baryon densities. Within the framework of the Nambu-Jona-Lasinio (NJL) model, we study the inter-dependent evolution of the quark's BCS gap and constituent mass with increasing density and magnetic field. While confirming previous results derived for the highly magnetized 2SC phase with color neutrality alone, we obtain new results as a consequence of imposing charge neutrality. In the charge neutral gapless 2SC phase (g2SC), a large magnetic field drives the color superconducting phase transition to a crossover, while the chiral phase transition is first order. Assuming that LOFF phases do not arise, we also obtain the Clogston-Chandrasekhar limit at a very large value of the magnetic field (B ~ 10^{19}G) in the g2SC phase. At larger diquark-to-scalar coupling ratio G_D/G_S, where the 2SC phase is preferred, this limit is strongly affected by Shubnikov de Haas-van Alphen oscillations of the gap, indicating the transition to a domain-like state.
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http://arxiv.org/abs/1209.2432
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