Free energy expansion of determinantal Coulomb gases in the quadratic fields with a point charge

Sung-Soo Byun, Meng Yang, Eui Yoo

We study a determinantal Coulomb gas in the complex plane associated with the external potential $$Q(z)=\frac{1}{1-{\tau }^2}(|z{|}^2-\tau \text{Re }{z}^2)-2c\log |z-a|,$$ where $τ\in[…