Characterization of topological phase transitions via topological properties of transition points

2015/03/31 by Linhu Li, Shu Chen · 54 citations
Mathematics · Physics and Astronomy · #Combinatorics #Invariant (physics) #Mathematics #Phase transition #Physics #Position and momentum space #Pure mathematics #Quantum #Quantum Mechanics and Non-Hermitian Physics #Quantum many-body systems #Quantum mechanics #Quantum phase transition #Topological Materials and Phenomena #Topological entropy in physics #Topological order #Topological quantum number #Topological ring #Topological space #Topological vector space #Topology (electrical circuits) #Transition point #Zero-dimensional space #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.92.085118

published in Physical Review B 92(8) (American Physical Society) · 6 pages, 5 figures

openalex publication_date 2015/08/10 · arxiv created 2015/08/12 · arxiv updated 2015/08/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We study topological properties of phase transition points of topological quantum phase transitions by assigning a topological invariant defined on a closed circle or surface surrounding the phase transition point in the parameter space of momentum and transition driving parameter. By applying our scheme to the Su-Schrieffer-Heeger model and Haldane model, we demonstrate that the topological phase transition can be well characterized by the defined topological invariant of the transition point, which reflects the change of topological invariants of topologically different phases across the phase transition point.

Citations

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