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arXiv · 1812.01613

Foliated Field Theory and String-Membrane-Net Condensation Picture of Fracton Order

Kevin Slagle·David Aasen·Dominic Williamson
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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.

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Kevin Slagle, David Aasen, Dominic Williamson. 2018-12-04. Foliated Field Theory and String-Membrane-Net Condensation Picture of Fracton Order. https://doi.org/10.21468/scipostphys.6.4.043

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