SKM 2023 – scientific programme
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TT: Fachverband Tiefe Temperaturen
TT 46: Frustrated Magnets: Spin Liquids
TT 46.11: Talk
Thursday, March 30, 2023, 12:15–12:30, HSZ 201
Variational States for the S=3/2 Kitaev spin liquids — •Willian Massashi Hisano Natori1,2, Hui-Ke Jin3, Frank Pollmann3,4, and Johannes Knolle2,3,4 — 1Institut Laue-Langevin — 2Imperial College London — 3Technische Universität München — 4Munich Center for Quantum Technology and Science
The lack of a mapping to free fermion models has for a long time prevented the analytical characterization of Kitaev spin liquids (KSLs) for general values of S. The most complicated of these spin liquids was the S=3/2 KSL, which defied both analytical and numerical techniques. This problem importance increased thanks to recent studies pointing out the relevance of Kitaev interactions on chromium-based van der Waals magnets.
We recently uncovered the ground state of the S=3/2 KHM perturbed by a single-ion anisotropy (SIA) using an SO(6) parton mean-field theory that displayed a remarkable quantitative agreement with DMRG simulations (Nat. Comm. 13, 3813). In this follow-up work, we uncover similarities between the S=3/2 KSL and the Majorana quantum spin-orbital liquids that emerge as ground states of exactly solvable Kugel-Khomskii models. We show that expectation values of several observables can be exactly calculated over a set of parton wavefunctions without Gutzwiller-projection, including the own KHM, quadrupolar parameters and correlation functions. The S=3/2 KSLs are then identified to the Gutzwiller projection of the state in this set minimizing the energy.