Large diversity of magnetic phases in two-dimensional magnets with spin-orbit coupling and superconductivity

Jannis Neuhaus-Steinmetz; Tim Matthies; Elena Y. Vedmedenko; Thore Posske; Roland Wiesendanger

doi:10.1103/PhysRevB.110.155427

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Large diversity of magnetic phases in two-dimensional magnets with spin-orbit coupling and superconductivity

Jannis Neuhaus-Steinmetz, Tim Matthies, Elena Y. Vedmedenko, Thore Posske, Roland Wiesendanger

DOI 10.1103/PhysRevB.110.155427 · Physical Review B

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Abstract

We classify the magnetic ground states of a 2D lattice of localized magnetic moments, which are coupled to a superconducting substrate with Rashba spin-orbit coupling. We discover a rich magnetic phase diagram with surprisingly complex structures including 2q-spin spirals, a 2×2-periodic pattern, and skyrmion lattices, self-consistently, using an effective classical spin Hamiltonian and show that the system hosts nonzero 4-spin interactions. Our in-depth analysis of about ten thousand magnetic configurations becomes feasible using contrastive clustering, a recent advanced unsupervised machine learning technique. This paper proposes simple few-band systems for noncollinear magnetic states and stimulates further research on topological effects in their self-consistent electronic structure.