Equation 17 · A Strained Crystal Is a Designer Spacetime
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superscript
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A tilted cone crossing 1 on a band diagram is not automatically a horizon an electron experiences. For the crossing to be a physical event rather than a line on a chart, a carrier has to travel across it ballistically — without being scattered by disorder — for at least as long as the horizon takes to act on it. Turning that single requirement into arithmetic sets a minimum mobility: too dirty a crystal, and disorder buries the horizon under ordinary resistive scattering before any carrier gets close enough to feel the tipped cone. At the paper’s design point, a tenth-of-a-kelvin horizon demands a mobility on the order of 710^5\,/ , with carriers needing to cross…
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A tilted cone crossing 1 on a band diagram is not automatically a horizon an electron experiences. For the crossing to be a physical event rather than a line on a chart, a carrier has to travel across it ballistically — without being scattered by disorder — for at least as long as the horizon takes to act on it. Turning that single requirement into arithmetic sets a minimum mobility: too dirty a crystal, and disorder buries the horizon under ordinary resistive scattering before any carrier gets close enough to feel the tipped cone. At the paper’s design point, a tenth-of-a-kelvin horizon demands a mobility on the order of 710^5\,/ , with carriers needing to cross roughly fourteen micrometres without scattering to register it.
Sources cited in the article section
- [12] Large, non-saturating magnetoresistance in WTe2 ↗
- [5] Ultrahigh mobility and giant magnetoresistance in the Dirac semimetal Cd3As2 ↗
- [6] Extremely large magnetoresistance and ultrahigh mobility in the topological Weyl semimetal candidate NbP ↗
- [10] Ultrahigh electron mobility in suspended graphene ↗
These citations give research context. Read each source to check which claims it supports.
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