- #1
devmessias
Given a Weyl Hamiltonian, at rest,
\begin{align}
H = \vec \sigma \cdot \vec{p}
\end{align}
A Lorentz boost in the x-direction returns
\begin{align}
H = \vec\sigma\cdot\vec{p} - \gamma\sigma_0 p_x
\end{align}
The second term gives rise to a tilt in the "light" cone of graphene. My doubts are:
How I can derive such term given a Lorentz transformations in x direction? If the cone of "light" is "tilted" then the Fermi velocity has changed?
[Tilted anisotropic Dirac cones in quinoid-type graphene and α−(BEDT-TTF)2I3][1]
\begin{align}
H = \vec \sigma \cdot \vec{p}
\end{align}
A Lorentz boost in the x-direction returns
\begin{align}
H = \vec\sigma\cdot\vec{p} - \gamma\sigma_0 p_x
\end{align}
The second term gives rise to a tilt in the "light" cone of graphene. My doubts are:
How I can derive such term given a Lorentz transformations in x direction? If the cone of "light" is "tilted" then the Fermi velocity has changed?
[Tilted anisotropic Dirac cones in quinoid-type graphene and α−(BEDT-TTF)2I3][1]