<html><head></head><body style="word-wrap: break-word; -webkit-nbsp-mode: space; -webkit-line-break: after-white-space; ">Dear All,<div><span class="Apple-tab-span" style="white-space: pre; "> </span>I am trying to reproduce the results of some spin texture calculations on topological insulators in the literature, specifically the work of Basak et al in PRB84, 121401 (2011). They calculated the spin texture (the helical nature) of the in-plane spin components in reciprocal space at the Fermi level (surface) using Wien2K. I have reproduced the slab calculations and can see the surface bands, however, I am unsure how to go about calculating the expectation values for the spin in reciprocal space. I did note the presence of a density matrix routine <span class="Apple-style-span" style="font-family: URWPalladioL; font-weight: bold; font-size: 13px; ">LAPWDM </span> in section 7.7 of the user guide which allows for the calculation of expectation values including spin, but only apparently in real space within the atomic spheres. Any guidance as to how to go about calculating a spin texture map (e.g. the projected spin direction on the 2D fermi surface in reciprocal space of the above topologically insulating structure) would be greatly appreciated. I have surveyed the literature, but there are no details of how the spin texture maps were calculated in any of the papers I have read. Thanks for any help in advance.</div><br><br><div>
<span class="Apple-style-span" style="border-collapse: separate; color: rgb(0, 0, 0); font-family: Helvetica; font-style: normal; font-variant: normal; font-weight: normal; letter-spacing: normal; line-height: normal; orphans: 2; text-align: -webkit-auto; text-indent: 0px; text-transform: none; white-space: normal; widows: 2; word-spacing: 0px; -webkit-border-horizontal-spacing: 0px; -webkit-border-vertical-spacing: 0px; -webkit-text-decorations-in-effect: none; -webkit-text-size-adjust: auto; -webkit-text-stroke-width: 0px; font-size: medium; "><span class="Apple-style-span" style="border-collapse: separate; color: rgb(0, 0, 0); font-family: Helvetica; font-style: normal; font-variant: normal; font-weight: normal; letter-spacing: normal; line-height: normal; orphans: 2; text-align: -webkit-auto; text-indent: 0px; text-transform: none; white-space: normal; widows: 2; word-spacing: 0px; -webkit-border-horizontal-spacing: 0px; -webkit-border-vertical-spacing: 0px; -webkit-text-decorations-in-effect: none; -webkit-text-size-adjust: auto; -webkit-text-stroke-width: 0px; font-size: medium; "><div style="word-wrap: break-word; -webkit-nbsp-mode: space; -webkit-line-break: after-white-space; "><div><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font-size: 12px; ">Paul Fons</div></div></div></span></span></div></body></html>