355 citations · 1.1k across the 17 of their papers we have counts for
17 papers
Universal localization-delocalization transition in chiral-symmetric Floquet drives
Adrian B. Culver, Pratik Sathe, Albert Brown +2
Periodically driven systems often exhibit behavior distinct from static systems. In single-particle, static systems, any amount of disorder generically localizes all eigenstates in…
Localization renormalization and quantum Hall systems
Bartholomew Andrews, Dominic Reiss, Fenner Harper +1
The obstruction to constructing localized degrees of freedom is a signature of several interesting condensed matter phases. We introduce a localization renormalization procedure th…
Classification of unitary operators by local generatability
Xu Liu, Adrian B. Culver, Fenner Harper +1
Periodically driven (Floquet) systems can exhibit possibilities beyond what can be obtained in equilibrium. Both in Floquet systems and in the related problems of discrete-time qua…
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…
Compactly Supported Wannier Functions and Strictly Local Projectors
Pratik Sathe, Fenner Harper, Rahul Roy
Wannier functions that are maximally localized help in understanding many properties of crystalline materials. In the absence of topological obstructions, they are at least exponen…
Majorana Braiding in Realistic Nanowire Y-Junctions and Tuning Forks
Fenner Harper, Aakash Pushp, Rahul Roy
Majorana fermions are predicted to arise at the ends of nanowire devices which combine superconductivity, strong spin-orbit coupling and an external magnetic field. By manipulating…
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…
Finite-wavevector Electromagnetic Response in Lattice Quantum Hall Systems
Fenner Harper, David Bauer, T. S. Jackson +1
In a quantum Hall system, the finite-wavevector Hall conductivity displays an intriguing dependence on the Hall viscosity, a coefficient that describes the non-dissipative response…
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…
Interacting Floquet topological phases in three dimensions
Dominic Reiss, Fenner Harper, Rahul Roy
In two dimensions, interacting Floquet topological phases may arise even in the absence of any protecting symmetry, exhibiting chiral edge transport that is robust to local perturb…
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…
Floquet Topological Order in Interacting Systems of Bosons and Fermions
Fenner Harper, Rahul Roy
Periodically driven noninteracting systems may exhibit anomalous chiral edge modes, despite hosting bands with trivial topology. We find that these drives have surprising many-body…
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…
Abelian Floquet symmetry-protected topological phases in one dimension
Rahul Roy, Fenner Harper
Time-dependent systems have recently been shown to support novel types of topological order that cannot be realised in static systems. In this paper, we consider a range of time-de…
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…
Perturbative Approach to Flat Chern Bands in the Hofstadter Model
Fenner Harper, Steven H. Simon, Rahul Roy
We present a perturbative approach to the study of the Hofstadter model for when the amount of flux per plaquette is close to a rational fraction. Within this approximation certain…
Comment on "Elementary formula for the Hall conductivity of interacting systems"
Steven H. Simon, Fenner Harper, N. Read
In a recent paper by Neupert, Santos, Chamon, and Mudry [Phys. Rev. B 86, 165133 (2012)] it is claimed that there is an elementary formula for the Hall conductivity of fractional C…