2019/08/23 by Max A. Metlitski, Metlitski, Max A.
Computer Science · Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Computing Algorithms and Architecture #Quantum Physics (quant-ph) #Quantum and electron transport phenomena #Quantum many-body systems #Strongly Correlated Electrons (cond-mat.str-el)
paper · pdf · doi:10.48550/arxiv.1908.08958
openalex publication_date 2019/08/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We present a 1d lattice model that mimics the boundary of the conventional 2d quantum spin-Hall insulator (QSHI) with U(1) symmetry and time-reversal T, satisfying T2 = (-1)F. Our construction utilizes a local tensor product Hilbert space of finite site dimension with a non-onsite symmetry action. We discuss how several signature properties of the QSHI, such as the fractional charge on T-domain walls and Kramers parity switching upon π-flux threading, are manifested in our treatment. We also present a 1d Hamiltonian whose ground state realizes the conventional Luttinger-liquid phase of the QSHI edge.