Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Breakdown of universality in three-dimensional Dirac semimetals with
  random impurities   Dirac-Weyl semimetals are unique three-dimensional (3D) phases of matter with
gapless electrons and novel electrodynamic properties believed to be robust
against weak perturbations. Here, we unveil the crucial influence of the
disorder statistics and impurity diversity in the stability of incompressible
electrons in 3D semimetals. Focusing on the critical role played by rare
impurity configurations, we show that the abundance of low-energy resonances in
the presence of diluted random potential wells endows rare localized
zero-energy modes with statistical significance, thus lifting the nodal density
of states. The strong nonperturbative effect here reported converts the 3D
Dirac-Weyl semimetal into a compressible metal even at the lowest impurity
densities. Our analytical results are validated by high-resolution real-space
simulations in record-large 3D lattices with up to 536 000 000 orbitals.

26
The categories of this paper are: bayes-an
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
2
The categories of this paper are: math
14
The categories of this paper are: math-ph
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
24
The categories of this paper are: dg-ga
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph