Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Transition to metallization in warm dense helium-hydrogen mixtures using
  stochastic density functional theory within the Kubo-Greenwood formalism   The Kubo-Greenwood (KG) formula is often used in conjunction with Kohn-Sham
(KS) density functional theory (DFT) to compute the optical conductivity,
particularly for warm dense mater. For applying the KG formula, all KS
eigenstates and eigenvalues up to an energy cutoff are required and thus the
approach becomes expensive, especially for high temperatures and large systems,
scaling cubically with both system size and temperature. Here, we develop an
approach to calculate the KS conductivity within the stochastic DFT (sDFT)
framework, which requires knowledge only of the KS Hamiltonian but not its
eigenstates and values. We show that the computational effort associated with
the method scales linearly with system size and reduces in proportion to the
temperature unlike the cubic increase with traditional deterministic
approaches. In addition, we find that the method allows an accurate description
of the entire spectrum, including the high-frequency range, unlike the
deterministic method which is compelled to introduce a high-frequency cut-off
due to memory and computational time constraints. We apply the method to
helium-hydrogen mixtures in the warm dense matter regime at temperatures of
\sim60\text{kK} and find that the system displays two conductivity phases,
where a transition from non-metal to metal occurs when hydrogen atoms
constitute \sim0.3 of the total atoms in the system.

28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
2
The categories of this paper are: math
15
The categories of this paper are: nucl-ex