Quantum liquids of the Kitaev honeycomb and related Kugel-Khomskii models
The S= 3 2 Kitaev honeycomb model (KHM) is unique among the spin-S Kitaev models due
to a massive ground-state quasidegeneracy that hampered previous numerical and …
to a massive ground-state quasidegeneracy that hampered previous numerical and …
Determining quantum phase diagrams of topological Kitaev-inspired models on NISQ quantum hardware
X Xiao, JK Freericks, AF Kemper - Quantum, 2021 - quantum-journal.org
Topological protection is employed in fault-tolerant error correction and in developing
quantum algorithms with topological qubits. But, topological protection $\textit {intrinsic to …
quantum algorithms with topological qubits. But, topological protection $\textit {intrinsic to …
Lacing topological orders in two dimensions: Exactly solvable models for Kitaev's sixteen-fold way
JT Jin, JJ Miao, Y Zhou - SciPost Physics, 2023 - scipost.org
A family of two-dimensional (2D) spin-1/2 models have been constructed to realize Kitaev's
sixteen-fold way of anyon theories. Defining a one-dimensional (1D) path through all the …
sixteen-fold way of anyon theories. Defining a one-dimensional (1D) path through all the …
Exact solution to a class of generalized Kitaev spin-1/2 models in arbitrary dimensions
We construct a class of exactly solvable generalized Kitaev spin-1/2 models in arbitrary
dimensions, which is beyond the category of quantum compass models. The Jordan-Wigner …
dimensions, which is beyond the category of quantum compass models. The Jordan-Wigner …
Generalizations of exactly solvable quantum spin models
AA Zvyagin - Physical Review B, 2020 - APS
Several generalizations of one-dimensional and two-dimensional exactly solvable low-
dimensional quantum spin-1/2 models, some of which contain off-diagonal terms of the …
dimensional quantum spin-1/2 models, some of which contain off-diagonal terms of the …