We report coexistence of antiferromagnetism and d-wave superconductivity within a t-J model solved using the statistically consistent Gutzwiller approximation [1]. For slabs cut at 45 degrees relative to the main crystallographic axes, i.e. [110] orientation, quasiparticle charge is drawn to the edges which leads to strengthened correlations [2]. As the edge is drawn close to the Mott transition, antiferromagnic order is spontaneously formed in the surface region, coexisting with superconductivity. This happens at doping levels much higher than the the corresponding transition for bulk coexistence in this model. This transition compete with phase crystal order [3,4] and ferromagnetism [5] found earlier.

[1] A. Joki, M. Fogelström, T. Löfwander, to be published
[2] A. Joki, M. Fogelström, T. Löfwander, Phys. Rev. B 113, 024508 (2026)
[3] M. Håkansson, T. Löfwander, M. Fogelström, Nature Physics 11, 755 (2015)
[4] D. Chakraborty, T. Löfwander, M. Fogelström, and A. M. Black-Schaffer, npj Quantum Materials 7, 44, (2022).
[5] K. M. Seja, N. Wall-Wennerdal, T. Löfwander, M. Fogelström, Phys. Rev. B 110, 064502 (2024)