The data set consists of the figures in the manuscript tilted Topological Langmuir-cyclotron wave. There are 10 figures with captions. 


The captions are listed as follows. 

{Fig_1} \caption{\textbf{The dispersion relation $\omega_{n}(k_{z},k_{y})$ $(n=1,2,3,4)$
for (a) an over-dense plasma (b) an under-dense plasma. }Different
values of $k_{y}$ are indicated by the color map.}

{Fig_2} \caption{\textbf{Tilted phase space Dirac cone in the neighborhood of the LC
Weyl point $(\omega_{\text{p}},k_{x},k_{y})=(\omega_{\text{pc}},0,0)$.}}

{Fig_3} \caption{\textbf{Topological-Langmuir cyclotron wave as a spectral flow.} (a)
Spectrum of $\hat{H}(x,-\mathrm{i}\eta\partial_{x},k_{y},k_{z})$
as a function of $k_{y}$. (b) The mode structure of the TLCW. The
system parameters are $\left(\omega_{\text{p}1},\omega_{\text{p}2},\omega_{\text{pc}},k_{z}\right)=\left(0.8,0.45,0.76,0.9\right).$ }

{Fig_4} \caption{\textbf{TLCWs at two boundaries.} (a) Spectrum of $\hat{H}(x,-\mathrm{i}\eta\partial_{x},k_{y},k_{z})$
as a function of $k_{y}$. (b) The mode structure of the right TLCW.
(c) The mode structure of the left TLCW. The system parameters are
$\left(\omega_{\text{p}1},\omega_{\text{p}2},\omega_{\text{pc}},k_{z}\right)=\left(0.8,0.45,0.76,0.9\right).$ }

{Fig_5}\caption{\textbf{(a) 2D and (b) 3D simulations of the TLCW excited on a zig-zag
boundary.} The system parameters are $\left(\omega_{\text{p}1},\omega_{\text{p}2},\omega_{\text{pc}}\right)=\left(0.8,0.3,0.54\right).$ }

{Fig_6}\caption{\textbf{(a) 2D and (b) 3D simulations of the TLCW excited on an oval
boundary.} The system parameters are $\left(\omega_{\text{p}1},\omega_{\text{p}2},\omega_{\text{pc}}\right)=\left(0.8,0.3,0.54\right).$
The TLCW propagates clockwise and carries an angular momentum.}

{Fig_7} \caption{\textbf{Topological charge of waves in continuous media.} Around an
isolated Weyl point, all closed surfaces surrounding the Weyl point
support isomorphic eigenmode bundles and have the same first Chern
number, which can be viewed as the topological charge associated with
this isolated Weyl point in phase space for the isomorphic eigenmode
bundles.}

{Fig_8} \caption{\textbf{Illustration of possible spectral flows of $\hat{H}(x,-\mathrm{i}\eta\partial_{x},k_{y},k_{z})$
in the common gap $[g_{1}+\lambda,g_{2}-\lambda]$. }Theorem \ref{thm:SpectralFlow}
stipulates the ``traffic rules'' for the flow of the spectrum. The
index for red dispersion curves is $1$, and the index for blue dispersion
curves is $-1.$}

{Fig_9} \caption{\textbf{The tilted phase space Dirac cone of $H_{2}(x,k_{x},k_{y},k_{z})$
at the LC Weyl point.} It faithfully represents the tilted Dirac cone
of $H(x,k_{x},k_{y},k_{z})$ shown in Fig.\,2.}

{Fig_10} \caption{\textbf{Analytical solutions of the tilted Dirac cone.} (a) Analytical
spectrum of $\hat{H}_{2}''(x,-\mathrm{i}\partial_{x},\lambda)$ as
a function of $k_{y}$. (b) Analytical mode structure of the eigenmodes.
The result of the TLCW (labeled by $n=-1$) agrees well with the numerical
solution shown in Fig.\,3.}