Fermi arcs, the open segments of Fermi surface attracted significant interest in condensed matter community since their discovery in the pseudogap state of cuprates. This is because they defy traditional concept of Fermi surface as closed contours and are potentially linked to presence of unusual electronic states. Discovery of topological materials reignited interests in Fermi arcs because they were predicted to exists on at the surface of Weyl semimetals. These topological Fermi arcs may be of special interest for spintronics application because of their spin textures.

In this talk I will discuss new developments in understanding of Fermi arcs in cuprates, review materials that host Weyl states and spin textured Fermi arcs and present evidence for third type of Fermi arcs that were discovered in antiferromagnetic state of rare earth monopnictides. These states have properties similar to Weyl states, however they occur in topologically trivial hosts. In addition to spin textures they undergo new type of magnetic band splitting linked to antiferromagnetic order of the host.

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[2] Takeshi Kondo, Ari D. Palczewski, Yoichiro Hamaya, Tsunehiro Takeuchi, J. S. Wen, Z. J. Xu, Genda Gu and Adam Kaminski, Formation of Gapless Fermi Arcs and Fingerprints of Order in the Pseudogap State of Cuprate Superconductors. Phys. Rev. Lett. 111, 157003 (2013)

[3] Lunan Huang, Timothy M. McCormick, Masayuki Ochi, Zhiying Zhao, Michi-To Suzuki, Ryotaro Arita, Yun Wu, Daixiang Mou, Huibo Cao, Jiaqiang Yan, Nandini Trivedi & Adam Kaminski, Spectroscopic evidence for a type II Weyl semimetallic state in MoTe₂. Nature Materials (2016),

[4] Benjamin Schrunk, Yevhen Kushnirenko, Brinda Kuthanazhi, Junyeong Ahn, Lin-Lin Wang, Evan O’Leary, Kyungchan Lee, Andrew Eaton, Alexander Fedorov, Rui Lou, Vladimir Voroshnin, Oliver J. Clark, Jamie Sánchez-Barriga, Sergey L. Bud’ko, Robert-Jan Slager, Paul C. Canfield and Adam Kaminski, Emergence of Fermi arcs due to magnetic splitting in an antiferromagnet, Nature 603, 610–615 (2022)

[5] Y. Kushnirenko, B. Schrunk, B. Kuthanazhi, L.-L. Wang, J. Ahn, E. O'Leary, A. Eaton, S. L. Bud'ko, R.-J. Slager, P. C. Canfield, and A. Kaminski, Rare-earth monopnictides: Family of antiferromagnets hosting magnetic Fermi arcs, Phys. Rev. B 106, 115111 (2022).