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The document summarizes numerical studies of two Kitaev models: the Kitaev chain and the Kitaev honeycomb lattice. For the Kitaev chain, it is shown that in certain parameter regimes, unpaired Majorana modes emerge at the ends of the chain, leading to a degenerate ground state and topological properties. The bulk spectrum and density of states are computed as the parameters are varied. For the Kitaev honeycomb model, the lattice, Hamiltonian, and Jordan-Wigner transformation are described. Phase transitions

Author

Arnab Barman Ray

Language

EN