Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Understanding the three-dimensional quantum Hall effect in generic
  multi-Weyl semimetals   The quantum Hall effect in three-dimensional Weyl semimetal (WSM) receives
significant attention for the emergence of the Fermi loop where the underlying
two-dimensional Hall conductivity, namely, sheet Hall conductivity, shows
quantized plateaus. Considering the tilted lattice models for multi Weyl
semimetals (mWSMs), we systematically study the Landau levels (LLs) and
magneto-Hall conductivity in the presence of parallel and perpendicular (with
respect to the Weyl node's separation) magnetic field, i.e., $\mathbf{
B}\parallel z$ and $\mathbf{B}\parallel x$, to explore the impact of tilting
and non-linearity in the dispersion. We make use of two (single) node
low-energy models to qualitatively explain the emergence of mid-gap chiral
(linear crossing of chiral) LLs on the lattice for $\mathbf{ B}\parallel z$
($\mathbf{ B}\parallel x$). Remarkably, we find that the sheet Hall
conductivity becomes quantized for $\mathbf{ B}\parallel z$ even when two Weyl
nodes project onto a single Fermi point in two opposite surfaces, forming a
Fermi loop with $k_z$ as the good quantum number. On the other hand, the Fermi
loop, connecting two distinct Fermi points in two opposite surfaces, with $k_x$
being the good quantum number, causes the quantization in sheet Hall
conductivity for $\mathbf{ B}\parallel x$. The quantization is almost lost
(perfectly remained) in the type-II phase for $\mathbf{ B}\parallel x$
($\mathbf{ B}\parallel z$). Interestingly, the jump profiles between the
adjacent quantized plateaus change with the topological charge for both of the
above cases. The momentum-integrated three-dimensional Hall conductivity is not
quantized; however, it bears the signature of chiral LLs as resulting in the
linear dependence on $\mu$ for small $\mu$. The linear zone (its slope) reduces
(increases) as the tilt (topological charge) of the underlying WSM increases.

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The categories of this paper are: physics
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The categories of this paper are: patt-sol
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The categories of this paper are: eess
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The categories of this paper are: mtrl-th
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The categories of this paper are: stat
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: math
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The categories of this paper are: hep-ph
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The categories of this paper are: cs
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The categories of this paper are: alg-geom
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The categories of this paper are: q-bio
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The categories of this paper are: funct-an
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The categories of this paper are: dg-ga
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The categories of this paper are: chao-dyn
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The categories of this paper are: cmp-lg