Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Statistical properties of eigenvalues of the non-Hermitian
  Su-Schrieffer-Heeger model with random hopping terms   We explore the eigenvalue statistics of a non-Hermitian version of the
Su-Schrieffer-Heeger model, with imaginary on-site potentials and randomly
distributed hopping terms. We find that owing to the structure of the
Hamiltonian, eigenvalues can be purely real in a certain range of parameters,
even in the absence of parity and time-reversal symmetry. As it turns out, in
this case of purely real spectrum, the level statistics is that of the Gaussian
orthogonal ensemble. This demonstrates a general feature which we clarify that
a non-Hermitian Hamiltonian whose eigenvalues are purely real can be mapped to
a Hermitian Hamiltonian which inherits the symmetries of the original
Hamiltonian. When the spectrum contains imaginary eigenvalues, we show that the
density of states (DOS) vanishes at the origin and diverges at the spectral
edges on the imaginary axis. We show that the divergence of the DOS originates
from the Dyson singularity in chiral-symmetric one-dimensional Hermitian
systems and derive analytically the asymptotes of the DOS which is different
from that in Hermitian systems.

12
The categories of this paper are: nucl-th
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The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
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The categories of this paper are: nucl-ex
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The categories of this paper are: astro-ph