Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Route towards Localization for Quantum Anomalous Hall Systems with Chern
  Number 2   The quantum anomalous Hall system with Chern number 2 can be destroyed by
sufficiently strong disorder. During its process towards localization, it was
found that the electronic states will be directly localized to an Anderson
insulator (with Chern number 0), without an intermediate Hall plateau with
Chern number 1. Here we investigate the topological origin of this phenomenon,
by calculating the band structures and Chern numbers for disordered supercells.
We find that on the route towards localization, there exists a hidden state
with Chern number 1, but it is too short and too fluctuating to be practically
observable. This intermediate state cannot be stabilized even after some "smart
design" of the model and this should be a universal phenomena for insulators
with high Chern numbers. By performing numerical scaling of conductances, we
also plot the renormalization group flows for this transition, with Chern
number 1 state as an unstable fixed point. This is distinct from known results,
and can be tested by experiments and further theoretical analysis.

13
The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an
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The categories of this paper are: nucl-th
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The categories of this paper are: eess
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The categories of this paper are: q-alg
2
The categories of this paper are: math
32
The categories of this paper are: atom-ph
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The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
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The categories of this paper are: solv-int
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The categories of this paper are: bayes-an