papers

Publications (17)

cond-mat.str-el2022

Fractional Chern insulators with a non-Landau level continuum limit

David Bauer, Spenser Talkington, Fenner Harper +2

Recent developments in fractional quantum Hall (FQH) physics highlight the importance of studying FQH phases of particles partially occupying energy bands that are not Landau level…

cond-mat.str-el2019

Topology and Broken Symmetry in Floquet Systems

Fenner Harper, Rahul Roy, Mark S. Rudner +1

Floquet systems are governed by periodic, time-dependent, Hamiltonians. Prima facie they should absorb energy from the external drives involved in modulating their couplings and he…

cond-mat.str-el2015

Fractional Chern Insulators in Bands with Zero Berry Curvature

Steven H. Simon, Fenner Harper, N. Read

Even if a noninteracting system has zero Berry curvature everywhere in the Brillouin zone, it is possible to introduce interactions that stabilise a fractional Chern insulator. The…

cond-mat.str-el2018

Chiral Flow in One-dimensional Floquet Topological Insulators

Xu Liu, Fenner Harper, Rahul Roy

We propose a bulk topological invariant for one-dimensional Floquet systems with chiral symmetry which quantifies the particle transport on each sublattice during the evolution. Th…

cond-mat.str-el2016

Floquet topological phases with symmetry in all dimensions

Rahul Roy, Fenner Harper

Dynamical systems may host a number of remarkable symmetry-protected phases that are qualitatively different from their static analogs. In this work, we consider the phase space of…

cond-mat.str-el2016

Periodic Table for Floquet Topological Insulators

Rahul Roy, Fenner Harper

Dynamical phases with novel topological properties are known to arise in driven systems of free fermions. In this paper, we obtain a `periodic table' to describe the phases of such…