Foliated Field Theory and String-Membrane-Net Condensation Picture of Fracton Order
Kevin Slagle, David Aasen, Dominic Williamson
TL;DR
This paper introduces a new foliated field theory and a string-membrane-net condensation model to describe foliated fracton order, a novel phase of matter with layered structures affecting excitation mobility.
Contribution
It presents the first foliated field theory and a lattice model for fracton phases, expanding the theoretical framework beyond traditional topological order.
Findings
Developed a foliated field theory for fracton phases
Constructed a lattice model with string-membrane-net condensation
Provided insights into excitation mobility restrictions
Abstract
Foliated fracton order is a qualitatively new kind of phase of matter. It is similar to topological order, but with the fundamental difference that a layered structure, referred to as a foliation, plays an essential role and determines the mobility restrictions of the topological excitations. In this work, we introduce a new kind of field theory to describe these phases: a foliated field theory. We also introduce a new lattice model and string-membrane-net condensation picture of these phases, which is analogous to the string-net condensation picture of topological order.
Click any figure to enlarge with its caption.
Figure 1
Figure 2
Figure 3
Figure 4
Figure 5
Figure 6
Figure 7
Figure 8
Figure 9
Figure 10
Figure 11
Figure 12
Figure 13
Figure 14
Figure 15
Figure 16
Figure 17
Figure 18
Figure 19
Figure 20
Figure 21
Figure 22
Figure 23
Figure 24
Figure 25
Figure 26
Figure 27
Figure 28
Figure 29
Figure 30
Figure 31
Figure 32
Figure 33
Figure 34
Figure 35
Figure 36
Figure 37
Figure 38
Figure 39
Figure 40Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.