14 citations · 32 across the 8 of their papers we have counts for
9 papers
Topological phonons in anomalous Hall crystals
Mark R. Hirsbrunner, Félix Desrochers, Joe Huxford +1
Recent experiments on few-layer graphene structures have reported indirect signatures of anomalous Hall crystals (AHCs), but the need for a top gate to stabilize the phase preclude…
Electronic Crystal Phases in the Presence of Non-Uniform Berry Curvature and Tunable Berry Flux: The -Jellium model
Félix Desrochers, Joe Huxford, Mark R. Hirsbrunner +1
Recent experiments on multilayer graphene systems have rekindled interest in electronic crystal phases in two dimensions -- but now for phases enriched by non-trivial quantum geome…
Dynamics and lifetime of geometric excitations in moiré systems
Yuzhu Wang, Joe Huxford, Dung Xuan Nguyen +3
We show that spin-2 geometric excitations, known as graviton modes, generally exhibit vanishing lifetimes in lattice Chern bands, including in moiré systems. In contrast to the Lan…
Elastic Response and Instabilities of Anomalous Hall Crystals
Félix Desrochers, Mark R. Hirsbrunner, Joe Huxford +3
Anomalous Hall crystals (AHCs) are exotic phases of matter that simultaneously break continuous translation symmetry and exhibit the quantum anomalous Hall effect. AHCs have recent…
Twisted Lattice Gauge Theory: Membrane Operators, Three-loop Braiding and Topological Charge
Joe Huxford, Dung Xuan Nguyen, Yong Baek Kim
3+1 dimensional topological phases can support loop-like excitations in addition to point-like ones, allowing for non-trivial loop-loop and point-loop braiding statistics not permi…
Gaining insights on anyon condensation and 1-form symmetry breaking across a topological phase transition in a deformed toric code model
Joe Huxford, Dung Xuan Nguyen, Yong Baek Kim
We examine the condensation and confinement mechanisms exhibited by a deformed toric code model proposed in [Castelnovo and Chamon, Phys. Rev. B, 2008]. The model describes both si…
Excitations in the Higher Lattice Gauge Theory Model for Topological Phases III: the (3+1)-Dimensional Case
Joe Huxford, Steven H. Simon
In this, the third paper in our series describing the excitations of the higher lattice gauge theory model for topological phases, we will examine the 3+1d case in detail. We will…
Excitations in the Higher Lattice Gauge Theory Model for Topological Phases II: The (2+1)-Dimensional Case
Joe Huxford, Steven H. Simon
In this work, the second paper of this series, we study the 2+1d version of a Hamiltonian model for topological phases based on higher lattice gauge theory. We construct the ribbon…
Excitations in the Higher Lattice Gauge Theory Model for Topological Phases I: Overview
Joe Huxford, Steven H. Simon
In this series of papers, we study a Hamiltonian model for 3+1d topological phases, based on a generalisation of lattice gauge theory known as "higher lattice gauge theory". Higher…