Spin spirals
Generalized Bloch condition
Spin spirals may be conveniently modeled using a generalisation of the Bloch condition:
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Spin spirals may be conveniently modeled using a generalisation of the 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)