Spin-Spin Correlations in the Kitaev Model at Finite Temperatures: Approximate and Exact Results via Green's Function Equation of Motion
arXiv:2405.13309 · doi:10.7566/JPSJ.93.083703
Abstract
The Kitaev model, defined on a honeycomb lattice, features an exactly solvable ground state with fractionalized Majorana fermion excitations, which can potentially form non-Abelian anyons crucial for fault-tolerant topological quantum computing. Although Majorana fermions are essential for obtaining the exact ground state, their physical interpretation in terms of spin operators remains unclear. In this study, we employ a Green's function approach that maintains SU(2) symmetry to address this issue and explore the model's finite temperature properties. Our results demonstrate that the computed temperature dependence of the correlation functions closely approximates the exact values at zero temperature, confirming the accuracy of our method. We also present several exact results concerning the spin Green's function and spin-spin correlation functions that are specific to the Kitaev model.
5 pages, 4 figures, title changed, references added
References in corpus (11)
- Fault-tolerant quantum computation by anyons
- Non-Abelian Anyons and Topological Quantum Computation
- Anyons in an exactly solved model and beyond
- Mott Insulators in the Strong Spin-Orbit Coupling Limit: From Heisenberg to a Quantum Compass and Kitaev Models
- Quantum Spin Liquids
- Kitaev quantum spin liquid - concept and materialization
- Exact results for spin dynamics and fractionization in the Kitaev Model
- Hunting Majorana Fermions in Kitaev Magnets
- Thermal fractionalization of quantum spins in a Kitaev model: -linear specific heat and coherent transport of Majorana fermions
- Majorana Fermion Mean-Field Theories of Kitaev Quantum Spin Liquids
- General Formula for the Green's Function Approach to the Spin-1/2 Antiferromagnetic Heisenberg Model