Fracton Topological Order

Claudio Chamon 

Boston University

A major goal of condensed matter physics is to understand and to 
classify all possible phases of matter; another one is to uncover 
phases outside contemporary paradigms. While these two goals are 
evidently contradictory, together they move the field forward. An 
example of a new class of systems whose complete understanding is 
still in progress is that of what is now commonly referred to as 
fractons in general, or more precisely, systems with fracton 
excitations. These systems have rich properties that can be studied 
from diverse perspectives, including topological order, quantum 
dynamics, elasticity, and fundamentals of quantum field theory. 
 
In the first lecture we will introduce fracton systems from the 
lattice perspective, and concentrate on their quantum dynamics and 
topological order. 

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