Timeline for Winding number in Su-Schrieffer-Heeger (SSH) model
Current License: CC BY-SA 4.0
5 events
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Jul 2, 2021 at 15:59 | comment | added | Jahan Claes | @hbaromega The equality $\delta\vec d=\partial_k\vec{d} dk$ is really just a definition, but sure you can think of it as a Taylor expansion. As for your first question, it will probably help to draw a picture of the vectors $\vec d$, $\vec d +\delta \vec d$, and $delta\vec d$. In the limit $\delta\rightarrow 0$ we can find the angle in radians by taking the perpendicular distance between the two vectors and dividing by the length of the vector. | |
Jul 2, 2021 at 15:29 | comment | added | hbaromega | Sorry, could someone explain how the cross product between $\vec{d}$ and $\vec{\delta d}$ vectors represents the angle between $\vec{d}$ and $\vec{d}+\vec{\delta d}$? And $\vec{\delta d}=\partial_k \vec{d} dk$ can be checked by Taylor's series expansion? | |
Jun 22, 2020 at 21:16 | comment | added | Karim Chahine | Yeah I don't know how I've overlooked something so simple, thanks! | |
Jun 22, 2020 at 21:15 | vote | accept | Karim Chahine | ||
Jun 22, 2020 at 16:45 | history | answered | Jahan Claes | CC BY-SA 4.0 |