Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Supercell symmetry modified spectral statistics of Kramers-Weyl fermions   We calculate the spectral statistics of the Kramers-Weyl Hamiltonian
$H=v\sum_{\alpha} \sigma_\alpha\sin p_\alpha+t \sigma_0\sum_\alpha\cos
p_\alpha$ in a chaotic quantum dot. The Hamiltonian has symplectic
time-reversal symmetry ($H$ is invariant when spin $\sigma_\alpha$ and momentum
$p_\alpha$ both change sign), and yet for small $t$ the level spacing
distribution $P(s)\propto s^\beta$ follows the $\beta=1$ orthogonal ensemble
instead of the $\beta=4$ symplectic ensemble. We identify a supercell symmetry
of $H$ that explains this finding. The supercell symmetry is broken by the
spin-independent hopping energy $\propto t\cos p$, which induces a transition
from $\beta=1$ to $\beta=4$ statistics that shows up in the conductance as a
transition from weak localization to weak antilocalization.

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The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
2
The categories of this paper are: math
11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph
15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
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The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg