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Triangular Rashba
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Jacob Beyer
Triangular Rashba
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0bcfdf8a
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0bcfdf8a
authored
1 year ago
by
Jacob Beyer
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Reworked instability analysis
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@@ -284,13 +284,16 @@ respective subspaces according to
v = [
\Psi
(
\bvec
k)
\mathbb
{
1
}
+
\bvec
d(
\bvec
k)
\cdot
\hat
{
\bvec
{
\sigma
}}
] i
\hat
\sigma
_
y
\,
.
\end{equation}
Notably, at finite Rashba-SOC the eigenstate is expected to have finite weight
in both subspaces, due to the singlet-triplet mixing.
Because the state must be described by a single irreducible representation
\,\cite
{
sigrist1987
}
,
we obtain differing momentum symmetry-behavior in single and triplet subspace.
The allowed combinations can be obtained by a careful symmetry analysis.
While in the absence of Rashba-SOC we expect the weight to reside fully in
either the singlet or the triplet subspace, at finite Rashba-SOC they are both
expected to be finite, with the exact fractions being the first characteristic
we determine.
The second important property is the state's total irreducible representation
(irrep), which must be equal in both spin spaces
\,\cite
{
sigrist1987
}
.
This can be obtained from the simulated momentum's irrep in conjunction with
the respective spin's irrep.
A careful symmetry analysis in conjunction with the possible combinations is
presented in the following.
\todo
{
Helical state as limit
}
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