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We investigate a multi-user multiple-input multiple-output interferencenetwork in the presence of multiple reconfigurable intelligent surfaces (RISs).The entire system is described by using a circuit-based model for thetransmitters, receivers, and RISs. This is obtained by leveraging theelectromagnetic tool of mutual impedances, which accounts for the signalpropagation and the mutual coupling among closely-spaced scattering elements.An iterative and provably convergent optimization algorithm that maximizes thesum-rate of RIS-assisted multi-user interference channels is introduced.Numerical results show that the sum-rate is enhanced if the mutual couplingamong the elements of the RISs is accounted for at the optimization stage.

MIMO Interference Channels Assisted by Reconfigurable Intelligent  Surfaces: Mutual Coupling Aware Sum-Rate Optimization Based on a Mutual  Impedance Channel Model