Equation 11 · 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
The device geometry is a bending-beam flexure cell: clamp a thin slab of the crystal at its ends, bend it to a controlled radius of curvature, and the resulting surface strain varies smoothly along the beam, sweeping the local tilt through the critical value across a channel roughly a hundred nanometres to a micrometre long. The line where the tilt crosses 1 is the horizon, with an analog surface gravity set by how fast the tilt changes along the channel and an analog Hawking temperature that follows from it in the same way a real event horizon’s surface gravity fixes its radiation temperature. At the paper’s chosen design point — a Fermi velocity of 210^5 metres per second, a strain…
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.
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Sources cited in the surrounding passage
- [7] Piezoelectric-based apparatus for strain tuning ↗
- [8] Phase Patterning for Ohmic Homojunction Contact in MoTe2 ↗
These citations provide research context; check each source for the exact claim it supports.