Publications (10)
The single-mode approximation for fractional Chern insulators and the fractional quantum Hall effect on the torus
C. Repellin, T. Neupert, Z. Papic +1
We analyze the collective magneto-roton excitations of bosonic Laughlin fractional quantum Hall (FQH) states on the torus and of their analog on the lattice, the fractiona…
Numerical investigation of gapped edge states in fractional quantum Hall-superconductor heterostructures
C. Repellin, A. M. Cook, T. Neupert +1
Fractional quantum Hall-superconductor heterostructures may provide a platform towards non-abelian topological modes beyond Majoranas. However their quantitative theoretical study…
Observation of Universal Hall Response in Strongly Interacting Fermions
T. -W. Zhou, G. Cappellini, D. Tusi +9
The Hall effect, which originates from the motion of charged particles in magnetic fields, has deep consequences for the description of materials, extending far beyond condensed ma…
Fractional Chern Insulators beyond Laughlin states
Tianhan Liu, C. Repellin, B. Andrei Bernevig +1
We report the first numerical observation of composite fermion (CF) states in fractional Chern insulators (FCI) using exact diagonalization. The ruby lattice Chern insulator model…
fractional topological insulators in two dimensions
C. Repellin, B. Andrei Bernevig, N. Regnault
We propose a simple microscopic model to numerically investigate the stability of a two dimensional fractional topological insulator (FTI). The simplest example of a FTI consists o…
Series of Abelian and Non-Abelian States in C>1 Fractional Chern Insulators
A. Sterdyniak, C. Repellin, B. Andrei Bernevig +1
We report the observation of a new series of Abelian and non-Abelian topological states in fractional Chern insulators (FCI). The states appear at bosonic filling nu= k/(C+1) (k, C…