Magnetic counterparts of unconventional superconductors for spin-conserved and non-dissipative electronics

Our recent discovery of altermagnets has opened science and technology opportunities unparalleled in the two conventional classes of ferromagnets and antiferromagnets. Moreover, the direct analogy of a d-wave spin-polarization order in altermagnets to the unconventional d-wave superconducting order in cuprates suggests that we now hold a key to a vast uncharted territory of unconventional magnetism. In my project, I will identify unconventional forms of magnetism beyond the d-wave cuprate counterparts, including such prominent examples as magnetic counterparts of s$^\pm$-wave pnictide superconductors or p-wave superfluid He-3. To build a “periodic table” of unconventional even and odd-parity wave magnets, I will develop a generalized symmetry-based methodology, tailored to a variable hierarchy of interactions across this large materials' territory. With the “periodic table” of unconventional magnetism, I will remove fundamental roadblocks in research and applications of relativistic and topological phases based on conventional magnets: the non-conserved spin of relativistic electrons, and the fragility of topological phases with non-dissipative electronic transport. I will demonstrate: (i) Even-parity-wave magnetism with time-reversal-symmetry breaking in the electronic structure accompanied by a vanishing net magnetization, and with conserved spin of relativistic electrons. (ii) Odd-parity-wave magnetism with time-reversal-invariant electronic structure, and with a strong exchange spin-splitting counterpart of the conventional weak relativistic spin splitting. (iii) Robust synergy of unconventional magnetism with topological phases in one common crystal. Armed with (i-iii), I will show the path to spin-conserved and non-dissipative electronic transport at ambient conditions using the unconventional magnets. This can pave the way for future ultra temporally and spatially scalable and energy-efficient spin-based electronics.