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Equation 22 · A Strained Crystal Is a Designer Spacetime

What does this equation mean?

2e2/h2e^2/h

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This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.

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e2e^2

Symbol e^2

The square of e: multiply e by itself.

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hh

Symbol h

h is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

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superscript

superscript

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.

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What the article says around this equation

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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