2025/10/09 by Xiao-Han Yang, Xiaohan Yang, Ji-Yao Chen +6 · 2 citations
Physics and Astronomy · #Charge (physics) #Cold Atom Physics and Bose-Einstein Condensates #Enhanced Data Rates for GSM Evolution #Excitation #Lattice (music) #Luttinger liquid #Quantum Hall effect #Quantum and electron transport phenomena #Quasiparticle #Topological Materials and Phenomena #Topological insulator #Trapping
paper · pdf · doi:10.1103/kwj1-d19d
openalex publication_date 2026/06/11 · openalex created_date 2026/06/12 · openalex updated_date 2026/07/11
Edge excitations are the defining signature of chiral topologically ordered systems. In continuum fractional quantum Hall (FQH) states, these excitations are described by the chiral Luttinger liquid (χLL) theory. Whether these field theory predictions can be precisely identified in discrete lattice systems of finite width, however, remains a long-standing question. Here, we numerically demonstrate that the charge-one edge spectral function of a ν=1/2 fractional Chern insulator (FCI) on an infinitely long strip with width Ly=10 quantitatively follows the predictions of χLL theory. The edge spectrum is gapless, chiral, and linear, with spectral weight increasing linearly with both momentum and energy. We further analyze the influence of lattice size, particle number, trapping potential, and charge sector of excitations on the edge properties. Our results establish a clear correspondence between lattice FCIs and continuum FQH systems and provide guidance for future experimental detection of chiral edge modes.