2025年10月27日（月）13:30~（第13回）(13th: 13:30-, October 27, 2025)

理学部1号館206教室 (Room No. 206, Science 1st Bldg.) 

Speaker: Kouta Dagnino (University of Zurich)

Title: Non-abelian fractional quantum Hall states in the lowest Landau level

Abstract:

We present a novel hierarchy of states at filling v=m/(2m+1) satisfying a squeezing principle which allows them to be uniquely identified with simple occupation-number configurations. We use this mapping to construct model Hamiltonians which realize these states as zero-energy ground states, and investigate the bulk and edge excitation spectrum of the states. We derive the general form of the modular S and T matrices of the topological quantum field theory describing our state and identify the presence of a neutral Fibonacci quasiparticle. We supplement our analytical analysis by numerically computing the Berry phase accumulated by braiding quasihole excitations around each other. In the process, we generalize a construction of pinning Hamiltonians for non-Abelian quasiholes, provided they obey the squeezing principle. We conclude with further directions regarding the CFT description of the edge excitations of this state.