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Equation 22 · Part 3 · A Strained Crystal Is a Designer Spacetime

superscript

2e2/h2e^2/h
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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.

The passage around this formula

The cheapest of the three needs no such cooling at all. Christophe De Beule and collaborators showed that a slowly varying tilt horizon transmits carriers through Hawking-like thermal channels, and that the effect shows up as a peak in the ordinary two-terminal differential conductance, of order 2e2e^2/h per conducting mode, whose position tracks the strain-set tilt slope directly [ 4 ] . Because the peak is a property of how carriers transmit through the tipped cone rather than a property of thermal equilibrium, it is present as soon as the horizon exists, with no requirement to cool below the analog Hawking temperature — the signature a first, warmer device should chase.

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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

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