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Recently, there are flurries of theoretical and experimental research investigating the so-called Kitaev materials' response to a Zeeman field. In this talk, starting from the general symmetry principle, we construct various effective theories to study the response to a longitudinal Zeeman field of a strongly interacting spinor atom with a two-dimensional anisotropic spin-orbital coupling (SOC) in a square lattice. We find that the interplay between the Zeeman field and the SOC leads to rich and novel classes of quantum commensurate (C) and in-commensurate (IC) phases, exotic excitations, and novel quantum phase transitions. These phases include the collinear gapped Z-x at low field, collinear gapped Z-FM at high field, the gapless co-planar canted phase at weak SOC & intermediate fields, and gapless non-coplanar IC-Skyrmion crystal phase at strong SOC & intermediate fields. These quantum phase transitions exhibit various dynamic exponents, including isotropic z=1, z=2, and anisotropic (z_x=3/2, z_y=3). Possible implications to various SOC materials such as MnSi, Fe0.5Co0.5Si, especially Kitaev materials α-RuCl3 in a Zeeman field, are outlined.
Dr. Fadi Sun acquired his Ph.D. in theoretical physics from Institute of Physics Chinese Academy of Sciences in 2016, and then acquired his Ph.D. in engineering physics from Mississippi State University in 2020. His research interests focus on (topological) quantum phases/phase transitions in strongly correlated systems, quantum chaos and Sachdev-Ye-Kitaev related physics.