Spin spirals: Difference between revisions
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== Generalized Bloch condition == | == Generalized Bloch condition == | ||
Spin spirals may be conveniently modeled using a generalized Bloch condition: | Spin spirals may be conveniently modeled using a generalized Bloch condition: | ||
:<math> | |||
\left[ \begin{array}{c} \Psi^{\uparrow}_{\bf k}(\bf r) \\ | |||
\Psi^{\downarrow}_{\bf k}(\bf r) \end{array} \right] = \left( | |||
\begin{array}{cc} | |||
e^{-i\bf q \cdot \bf R / 2} & 0\\ | |||
0 & e^{+i\bf q \cdot \bf R / 2} \end{array}\right) \left[ | |||
\begin{array}{c} \Psi^{\uparrow}_{\bf k}(\bf r-R) \\ | |||
\Psi^{\downarrow}_{\bf k}(\bf r-R) \end{array} \right] | |||
</math> | |||
Revision as of 10:57, 6 July 2018
Generalized Bloch condition
Spin spirals may be conveniently modeled using a generalized Bloch condition:
![\left[{\begin{array}{c}\Psi _{{{\bf {k}}}}^{{\uparrow }}({\bf {r)}}\\\Psi _{{{\bf {k}}}}^{{\downarrow }}({\bf {r)}}\end{array}}\right]=\left({\begin{array}{cc}e^{{-i{\bf {q\cdot {\bf {R/2}}}}}}&0\\0&e^{{+i{\bf {q\cdot {\bf {R/2}}}}}}\end{array}}\right)\left[{\begin{array}{c}\Psi _{{{\bf {k}}}}^{{\uparrow }}({\bf {r-R)}}\\\Psi _{{{\bf {k}}}}^{{\downarrow }}({\bf {r-R)}}\end{array}}\right]](https://wikimedia.org/api/rest_v1/media/math/render/svg/a3054f8bd4c27abc8ed2fe5951e9facb5ce4c25d)