Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exact eigenstates of extended SU($N$) Hubbard models: Generalizations of
  $\eta$-pairing states with $N$-particle off-diagonal long-range order   We consider $N$-particle generalizations of $\eta$-pairing states in a chain
of $N$-component fermions and show that these states are exact (high-energy)
eigenstates of an extended SU($N$) Hubbard model. We compute the singlet
correlation function of the states and find that its behavior is qualitatively
different for even and odd $N$. When $N$ is even, these states exhibit
off-diagonal long-range order in $N$-particle reduced density matrix. On the
other hand, when $N$ is odd, the correlations decay exponentially with distance
in the bulk, but end-to-end correlations do not vanish in the thermodynamic
limit. Finally, we prove that these states are the unique ground states of
suitably tailored Hamiltonians.

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The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
19
The categories of this paper are: eess
23
The categories of this paper are: solv-int
37
The categories of this paper are: supr-con