this is for holding javascript data
Miguel A. L. Marques edited Magnetic response.tex
over 9 years ago
Commit id: bba259de79460b4127e3d2cfea9e9b02c86bc40b
deletions | additions
diff --git a/Magnetic response.tex b/Magnetic response.tex
index 403304c..d4d23f9 100644
--- a/Magnetic response.tex
+++ b/Magnetic response.tex
...
Miguel, Xavier
In the presence of a magnetic field \(\vec{B}(\vec{r}, t)\), generated
by a vector potential \(\vec{A}(\vec{r}, t)\), some
additional terms
describing the coupling of
the electrons to the magnetic field must be included in the Hamiltonian
%
\begin{equation}
\label{eq:magnetic}
{H} = \frac12\left({\vec{p}} -\frac1c{\vec{A}}\right)^2 + \vec{B}\cdot{\vec{S}}\ .
\end{equation}
%
The first part
is describes the orbital interaction with the field, and the
second one is the Zeeman term that represents the coupling of the
electronic spin with the magnetic field.
In As our main interest is the evaulation of the magnetic susceptibility,
in the following we consider a perturbative uniform static magnetic
field \(\vec{B}\) and zero total spin. In the Coulomb gauge the
corresponding vector potential, \(\vec{A}\), is given as
%