Here are some references for Haah's code and the larger world of "fractons". This list is far from complete and does not accurately capture the history of the subject.1. Haah's original work: https://arxiv.org/abs/1101.19622. Fractons and duality: https://arxiv.org/abs/1603.044423. Lecture notes discussing Haah's algebraic methods:https://arxiv.org/abs/1607.013874. "Bifurcating RG for Haah's code": https://arxiv.org/abs/1310.45075. Foliated fracton phases: https://arxiv.org/abs/1712.058926. Fracton-elasticity duality: https://arxiv.org/abs/1711.11044I would recommend skimming through 2 and 6, for starters. I will try to present a little bit about Haah's code including its motivations and extensions, an rg picture, and finally maybe comment about fracton-elasticity duality.
Physics Group Meeting
Introduction to "Fractons" and the Haah Code
Junior Visiting Professor, School of Natural Sciences; Assistant Professor, University of Maryland
Date & Time
September 12, 2018 | 1:45 – 2:45pm
Bloomberg Hall Physics Library