2020/03/05 by W. Zhu, D. N. Sheng, Kun Yang
Physics and Astronomy · #cond-mat.str-el
paper · pdf · doi:10.1103/physrevlett.125.146802
published as Phys. Rev. Lett. 125, 146802 (2020) · 14 pages, 11 figures
arxiv created 2020/03/05 · arxiv updated 2020/10/07
Recent thermal Hall experiment pumped new energy into the problem of ν=5/2 quantum Hall effect, which motivated novel interpretations based on formation of mesoscopic puddles made of Pfaffian and anti-Pfaffian topological orders. Here, we study an interface between the Pfaffian and anti-Pfaffian states, which may play crucial roles in thermal transport, by means of state-of-the-art density-matrix renormalization group simulations on the cylinder geometry. We provide compelling evidences that indicate the edge modes of the Pfaffian and anti-Pfaffian state strongly hybridize with each other around the interface. Moreover, we demonstrate an intrinsic electric dipole moment emerges at the interface, similar to the "p-n" junction sandwiched between N-type and P-type semiconductor. Importantly, we elucidate the topological origin of this dipole moment, whose formation is to counterbalance the mismatch of guiding-center Hall viscosity of bulk Pfaffian and anti-Pfaffian state.