Topological quantum phase transition in an extended Kitaev spin model

Abstract

We study the quantum phase transition between Abelian and non-Abelian phases in an extended Kitaev spin model on the honeycomb lattice, where the periodic boundary condition is applied by placing the lattice on a torus. Our analytical results show that this spin model exhibits a continuous quantum phase transition. Also, we reveal the relationship between bipartite entanglement and the ground-state energy. Our approach directly shows that both the entanglement and the ground-state energy can be used to characterize the topological quantum phase transition in the extended Kitaev spin model.

9 Pages, 4 figures

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Cited by in corpus (13)

• Dynamics of Fractionalization in Quantum Spin Liquids
• Quantum Fisher information as signature of superradiant quantum phase transition
• Topological states and braiding statistics using quantum circuits
• Characterization of topological states via dual multipartite entanglement
• Quantum information approach to the quantum phase transition in the Kitaev honeycomb model
• Reduced fidelity in Kitaev honeycomb model
• Geometric Criterion for Solvability of Lattice Spin Systems
• Quantum statistics of the collective excitations of an atomic ensemble inside a cavity
• Exotic phase diagram of a topological quantum system
• Spontaneous dimerization, spin-nematic order, and deconfined quantum critical point in a spin-1 Kitaev chain with tunable single-ion anisotropy
• Honeycomb lattice Kitaev model with Wen-Toric-code interactions, and anyon excitations
• Low-temperature coherence properties of Z_2 quantum memory
• Fold bifurcation entangled surfaces for one-dimensional Kitaev lattice model