Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Density of States Scaling at the Semimetal to Metal Transition in Three
  Dimensional Topological Insulators   The quantum phase transition between the three dimensional Dirac semimetal
and the diffusive metal can be induced by increasing disorder. Taking the
system of disordered $\mathbb{Z}_2$ topological insulator as an important
example, we compute the single particle density of states by the kernel
polynomial method. We focus on three regions: the Dirac semimetal at the phase
boundary between two topologically distinct phases, the tricritical point of
the two topological insulator phases and the diffusive metal, and the diffusive
metal lying at strong disorder. The density of states obeys a novel single
parameter scaling, collapsing onto two branches of a universal scaling
function, which correspond to the Dirac semimetal and the diffusive metal. The
diverging length scale critical exponent $\nu$ and the dynamical critical
exponent $z$ are estimated, and found to differ significantly from those for
the conventional Anderson transition. Critical behavior of experimentally
observable quantities near and at the tricritical point is also discussed.

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The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
7
The categories of this paper are: hep-th
20
The categories of this paper are: acc-phys
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
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The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci