2014/09/30 by Minchul Lee, Seungju Han, Mahn‐Soo Choi +1 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Condensed Matter Physics #Boundary (topology) #Boundary value problem #Class (philosophy) #Combinatorics #Computer science #Condensed matter physics #MAJORANA #Mathematical analysis #Mathematical physics #Mathematics #Mode (computer interface) #Phase (matter) #Phase transition #Physics #Quantum many-body systems #Quantum mechanics #Superconductivity #Theoretical physics #Topological Materials and Phenomena #Topology (electrical circuits) #Zero (linguistics) #Zero mode #cond-mat.mes-hall #cond-mat.stat-mech
paper · pdf · doi:10.1103/physrevb.92.035117
published as Phys. Rev. B 92, 035117 (2015) · 5 pages, 2 figures; The last section completely rewritten with more relevant plots in Fig. 2 (Fig 3 removed)
arxiv created 2015/01/21 · openalex publication_date 2015/07/09 · arxiv updated 2015/07/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The Kibble-Zurek mechanism (KZM) is generalized to a class of multilevel systems and applied to study the quenching dynamics of one-dimensional (1D) topological superconductors (TS) with open ends. Unlike the periodic boundary condition, the open boundary condition, which is crucial for the zero-mode Majorana states localized at the boundaries, requires one to consider many coupled levels. Our generalized KZM predictions agree well with the numerically exact results for the 1D TS. In particular, the generalized KZM explains well the Majorana-mode contribution to the topological defects, which utterly defies the traditional KZM. The inherent bound-state character and multilevel structure of the Majorana mode, which play key roles in the TS, are efficiently captured by the generalized KZM.