Exotic phase diagram of a topological quantum system

Abstract

We study the quantum phase transitions (QPTs) in the Kitaev spin model on a triangle-honeycomb lattice. In addition to the ordinary topological QPTs between Abelian and non-Abelian phases, we find new QPTs which can occur between two phases belonging to the same topological class, namely, either two non-Abelian phases with the same Chern number or two Abelian phases with the same Chern number. Such QPTs result from the singular behaviors of the nonlocal spin-spin correlation functions at the critical points.

10 pages, 5 figures

References in corpus (9)

• An exact chiral spin liquid with non-Abelian anyons
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• A General Theorem Relating the Bulk Topological Number to Edge States in Two-dimensional Insulators
• Fidelity susceptibility and long-range correlation in the Kitaev honeycomb model
• A theory of topological edges and domain walls
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• The Zero Temperature Phase Diagram of the Kitaev Model

Cited by in corpus (6)

• Thermodynamics of Chiral Spin Liquids with Abelian and Non-Abelian Anyons
• Kitaev spin models from topological nanowire networks
• Spin-1 Kitaev model in one dimension
• Exact chiral spin liquid state in a Kitaev type spin model
• Phase Diagram of the Kitaev-type Model on a Decorated Honeycomb Lattice in the Isolated Dimer Limit
• Giant magnetoresistance of edge current between fermion and spin topological systems