Anomalous Hall Crystals or Moiré Chern Insulators? Spontaneous versus explicit translational symmetry breaking in graphene pentalayers

Journal Club for Condensed Matter Physics Journal Club for Condensed Matter Physics (2024)

From the XXZ chain to the integrable Rydberg-blockade ladder via non-invertible duality defects

(2024)

Authors:

Luisa Eck, Paul Fendley

Anomalous fluctuations in a droplet of chemically active colloids or enzymes

(2024)

Authors:

KR Prathyusha, Suropriya Saha, Ramin Golestanian

From the XXZ chain to the integrable Rydberg-blockade ladder via non-invertible duality defects

(2024)

Authors:

Luisa Eck, Paul Fendley

Excitations in the higher lattice gauge theory model for topological phases III: the 3+1d case

Physical Review B American Physical Society 109:3 (2024) 035152

Authors:

Joe Huxford, Steven Simon

Abstract:

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 explicitly construct the ribbon and membrane operators which create the topological excitations, and use these creation operators to find the pattern of condensation and confinement. We also use these operators to find the braiding relations of the excitations, and to construct charge measurement operators which project to states of definite topological charge.