Exotic phase diagram of a topological quantum system

2010/07/31 by Xiao-Feng Shi, Xiaofeng Shi, Yan Chen +1 · 10 citations
Mathematics · Physics and Astronomy · #Abelian group #Advanced Condensed Matter Physics #Combinatorics #Condensed matter physics #Mathematics #Phase (matter) #Phase diagram #Physics #Pure mathematics #Quantum many-body systems #Quantum mechanics #Spin (aerodynamics) #Topological Materials and Phenomena #Topology (electrical circuits) #cond-mat.stat-mech #quant-ph

paper · pdf · doi:10.1103/physrevb.82.174412

published in Physical Review B 82(17) (American Physical Society) · 10 pages, 5 figures

openalex publication_date 2010/11/09 · arxiv created 2010/11/14 · arxiv updated 2015/05/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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.

Citations

• Quantized Hall Conductance in a Two-Dimensional Periodic Potential
• Two soluble models of an antiferromagnetic chain
• Anyons in an exactly solved model and beyond

Cited by

• Thermodynamics of Chiral Spin Liquids with Abelian and Non-Abelian Anyons

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• Global Phase Diagram of the Extended Kitaev-Heisenberg Model on Honeycomb Lattice
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• Assembling Kitaev honeycomb spin liquids from arrays of 1D symmetry protected topological phases