Equation 17 · Part 1 · A Strained Crystal Is a Designer Spacetime
superscript
superscript
What this part means
A raised number can be a power. When it is a label or bound, it selects a case or the upper limit of a sum; the formula’s structure distinguishes these uses.
Its job in the formula
A raised mark can be a power or an index. Its position and the surrounding notation determine which.
Full expression→superscript→Article meaning
The passage around this formula
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…
Learn the underlying idea
An exponent tells how a base is used in multiplication. In x³, x is the base and 3 is the exponent: x³ = x × x × x.
Open the illustrated exponents: repeated multiplication and powers guide →
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 provide research context; check each source for the exact claim it supports.