PIRSA:24110069

Video URL

https://pirsa.org/24110069

Microscopic Roadmap to a Yao-Lee Spin-Orbital Liquid

Kee, H. (2024). Microscopic Roadmap to a Yao-Lee Spin-Orbital Liquid. Perimeter Institute for Theoretical Physics. https://pirsa.org/24110069

Kee, Hae-Young. Microscopic Roadmap to a Yao-Lee Spin-Orbital Liquid. Perimeter Institute for Theoretical Physics, Nov. 12, 2024, https://pirsa.org/24110069 

          @misc{ scivideos_PIRSA:24110069,
            doi = {},
            url = {https://pirsa.org/24110069},
            author = {Kee, Hae-Young},
            keywords = {Quantum Matter},
            language = {en},
            title = {Microscopic Roadmap to a Yao-Lee Spin-Orbital Liquid},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2024},
            month = {nov},
            note = {PIRSA:24110069 see, \url{https://scivideos.org/index.php/pirsa/24110069}}
          }

Hae-Young Kee University of Toronto

Talk numberPIRSA:24110069
Source RepositoryPIRSA
Collection
Talk Type Other
Subject

Abstract

The exactly solvable spin-1/2 Kitaev model on a honeycomb lattice has drawn significant interest, as it offers a pathway to realizing the long-sought after quantum spin liquid. Building upon the Kitaev model, Yao and Lee introduced another exactly solvable model on an unusual star lattice featuring non-abelian spinons. The additional pseudospin degrees of freedom in this model could provide greater stability against perturbations, making this model appealing. However, a mechanism to realize such an interaction in a standard honeycomb lattice remains unknown. I will present a microscopic theory to obtain the Yao-Lee model on a honeycomb lattice by utilizing strong spin-orbit coupling of anions edge-shared between two eg ions in the exchange processes. This mechanism leads to the desired bond-dependent interaction among spins rather than orbitals, unique to our model, implying that the orbitals fractionalize into gapless Majorana fermions and fermionic octupolar excitations emerge. Since the conventional Kugel-Khomskii interaction also appears, the phase diagram including these interactions using classical Monte Carlo simulations and exact diagonalization techniques will be presented. Several open questions will be also discussed.