Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Filling constraints on fermionic topological order in zero magnetic
  field   We consider two-dimensional electron systems in zero magnetic field at
fractional filling. For such systems a Lieb-Schultz-Mattis theorem applies,
forbidding the existence of a trivial insulator. However, the theorem does not
distinguish between bosonic and fermionic systems. In this work we argue that
in the case of fermionic systems, the topological orders that are compatible
with the microscopic constraints are in general different from the bosonic
case. We find different results in the cases of even and odd denominator
fillings, with even denominator fillings deviating stronger from the bosonic
case. Part of our results also hold in three dimensions.

5
The categories of this paper are: gr-qc
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn
19
The categories of this paper are: eess
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph
25
The categories of this paper are: patt-sol
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph