It is often discussed that Topological order does not survive to finite temperature in 2 dimensions, as in, e.g. this Stack Exchange post. However, it is clear that we measure topological order in the Fractional Quantum Hall Effect. The post linked above suggests that this is possible because such systems are finite size and/or chiral. However, it is not obvious to me the role that either of these things play in protecting topological order, especially in the field-theoretic perspective provided in the post.
Is anyone able to further explain why chirality and finite size protect the topological order of the FQHE at finite temperatures, or provide a source that discusses this in more detail?
