2018/04/01 by Zhidan Li, Qiang Han
Mathematics · Physics and Astronomy · #Advanced Condensed Matter Physics #Chain (unit) #Condensed matter physics #Degenerate energy levels #Fermion #Hamiltonian (control theory) #MAJORANA #Mathematical physics #Mathematics #Mean field theory #Phase (matter) #Phase diagram #Physics #Quantum many-body systems #Quantum mechanics #Renormalization group #Topological Materials and Phenomena #Zero (linguistics) #Zero-point energy #cond-mat.str-el #cond-mat.supr-con
paper · pdf · doi:10.1088/0256-307x/35/4/047101
published as Chin. Phys. Lett. 35, 047101 (2018) · 5 pages, 4 figures
openalex publication_date 2018/04/01 · arxiv created 2018/05/04 · arxiv updated 2018/05/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The one-dimensional interacting Kitaev chain at half filling is studied. The symmetry of the Hamiltonian is examined by dual transformations, and various physical quantities as a function of the fermion-fermion interaction U are calculated systematically using the density matrix renormalization group method. A special value of interaction U p is revealed in the topological region of the phase diagram. We show that at U p the ground states are strictly two-fold degenerate even though the chain length is finite and the zero-energy peak due to the Majorana zero modes is maximally enhanced and exactly localized at the end sites. Here U p may be attractive or repulsive depending on other system parameters. We also give a qualitative understanding of the effect of interaction under the self-consistent mean field framework.