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<div apple-content-edited="true"><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; ">Dear
Pang,</span></div>
<div apple-content-edited="true"><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; ">just
a comment on my previous message: I was thinking to the Hamiltonian in k space, but actually reading more carefully your message, I think you meant the Hamiltonian in real space.</span></div>
<div apple-content-edited="true"><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; "><br>
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<div apple-content-edited="true"><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; ">In
which system do you find imaginary components in the off-diagonal matrix elements between WF? Did you check if your Wannier functions were converged and real? Do you have spin-orbit in your Hamiltonian?</span></div>
<div apple-content-edited="true"><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; "><br>
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<div apple-content-edited="true"><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; ">In
case, we can continue this discussion on the Wannier mailing-list, that I think is more suited to this topic.</span></div>
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<div apple-content-edited="true"><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; ">Giovanni</span></div>
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<div>On 12 Oct 2014, at 21:28, Giovanni Pizzi wrote:</div>
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While the Slater-Koster parameters are real, the Hamiltonian matrix elements are complex.</div>
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You should study how to build a tight-binding Hamiltonian; one good point to start is the original paper by Slater and Koster <a href="http://journals.aps.org/pr/abstract/10.1103/PhysRev.94.1498">http://journals.aps.org/pr/abstract/10.1103/PhysRev.94.1498</a></div>
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or you can check many solid-state books or any other resource on tight-binding.</div>
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Best,</div>
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Giovanni</div>
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<div>-- </div>
<div>Giovanni Pizzi<br>
Post-doctoral Research Scientist<br>
EPFL STI IMX THEOS<br>
MXC 340 (Bātiment MXC)<br>
Station 12<br>
CH-1015 Lausanne (Switzerland)<br>
Phone: +41 21 69 31124<br>
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<div>On 11 Oct 2014, at 14:35, Pang Rui wrote:</div>
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<div>Dear all<br>
Wannier functions were used in many papers to construct a tight binding<br>
model. The off diaganalization matrix elements were interpreted as the<br>
hopping parameters. However, I found that in most of the times, these<br>
elements were complex numbers. How can I related these complex numbers to<br>
real numbers to parameter a TB model?<br>
<br>
Best wishes!<br>
Pang Rui<br>
-- <br>
PostDoc<br>
Department of Physics, South University of Science and Technology of China<br>
Shenzhen, Guangdong, PRC, 518500<br>
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