<div dir="ltr"><p class="MsoNormal" style="margin:0in 0in 8pt;line-height:107%;font-size:11pt;font-family:Calibri,sans-serif">I am trying to calculate the z2 topological invariant of a 3D
topological insulator. For this, I have set the input parameters in the input
section of wcc.py module as,</p>

<p class="MsoNormal" style="margin:0in 0in 8pt;line-height:107%;font-size:11pt;font-family:Calibri,sans-serif">For calculating nu_0                                       For calculating nu_1' </p>

<p class="MsoNormal" style="margin:0in 0in 8pt;line-height:107%;font-size:11pt;font-family:Calibri,sans-serif">kevoldir = 2                                                      kevoldir
= 2 </p>

<p class="MsoNormal" style="margin:0in 0in 8pt;line-height:107%;font-size:11pt;font-family:Calibri,sans-serif">kevol = [0, 0.5]                                                kevol
= [0, 0.5] </p>

<p class="MsoNormal" style="margin:0in 0in 8pt;line-height:107%;font-size:11pt;font-family:Calibri,sans-serif">kwlsndir = 3                                                     kwlsndir
= 3 </p>

<p class="MsoNormal" style="margin:0in 0in 8pt;line-height:107%;font-size:11pt;font-family:Calibri,sans-serif">kfix = 0.0                                                           kfix
= 0.5 </p>

<p class="MsoNormal" style="margin:0in 0in 8pt;line-height:107%;font-size:11pt;font-family:Calibri,sans-serif">************************************************************</p>

<p class="MsoNormal" style="margin:0in 0in 8pt;line-height:107%;font-size:11pt;font-family:Calibri,sans-serif">For calculating nu_2'                                      For calculating nu_3'</p>

<p class="MsoNormal" style="margin:0in 0in 8pt;line-height:107%;font-size:11pt;font-family:Calibri,sans-serif">kevoldir = 1                                                      kevoldir
= 3</p>

<p class="MsoNormal" style="margin:0in 0in 8pt;line-height:107%;font-size:11pt;font-family:Calibri,sans-serif">kevol = [0, 0.5]                                                kevol
= [0, 0.5]    </p>

<p class="MsoNormal" style="margin:0in 0in 8pt;line-height:107%;font-size:11pt;font-family:Calibri,sans-serif">kwlsndir = 3                                                     kwlsndir
= 1 </p>

<p class="MsoNormal" style="margin:0in 0in 8pt;line-height:107%;font-size:11pt;font-family:Calibri,sans-serif">kfix = 0.5                                                          kfix
= 0.5</p><p class="MsoNormal" style="margin:0in 0in 8pt;line-height:107%;font-size:11pt;font-family:Calibri,sans-serif"><br></p><p class="MsoNormal" style="margin:0in 0in 8pt;line-height:107%;font-size:11pt;font-family:Calibri,sans-serif">I am very confused about whether the input parameter is okay or not. For nu_0 I am getting a gapless state, while for nu_1', nu_2' and nu_3' I am getting almost the same result (gapped state). Please help me in this regard. </p><p class="MsoNormal" style="margin:0in 0in 8pt;line-height:107%;font-size:11pt;font-family:Calibri,sans-serif">reference article </p><table summary="Additional metadata" style="color:rgb(0,0,0);font-family:"Lucida Grande",Helvetica,Arial,sans-serif;font-size:12.312px"><tbody><tr style="margin-top:0px;margin-bottom:0px"><td class="gmail-tablecell gmail-arxivdoi" style="display:inline-flex;padding:0px 6.5px 0px 0px;vertical-align:top;border:0px;font-size:0.95em"><div class="gmail-button-and-tooltip" style="display:inline"><button class="gmail-more-info" aria-describedby="more-info-desc-1" style="background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial;border-width:initial;border-style:none;border-color:initial;padding:0px 0px 0px 6px"><a href="https://doi.org/10.48550/arXiv.2303.16306" id="gmail-arxiv-doi-link" style="text-decoration-line:none"><br class="gmail-Apple-interchange-newline">https://doi.org/10.48550/arXiv.2303.16306</a><div class="gmail-button-and-tooltip" style="display:inline"></div></button><button class="gmail-more-info" aria-describedby="more-info-desc-1" style="background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial;border-width:initial;border-style:none;border-color:initial;padding:0px 0px 0px 6px"></button></div></td></tr></tbody></table><br class="gmail-Apple-interchange-newline"></div>