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Equation 6 · Part 2 · A Strained Crystal Is a Designer Spacetime

Symbol x

W(x)W(x)
xx

What this part means

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

The passage around this formula

The first term is ordinary tilted-free Weyl physics, shifted by the strain-induced gauge field. The second term is the one that matters here: it multiplies the momentum by the tilt and by the identity matrix, so it does not distinguish between the electron’s two internal states the way the first term does — it simply drags the whole cone in one direction, by an amount that depends on position through W(x) . Where |W| crosses the value 1, the type-I/type-II boundary, the cone tips over far enough that one branch of carriers can only move one way past that line, in exactly the sense that nothing can move outward past an event horizon. That correspondence between an over-tilted Weyl cone and a…

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Sources cited in the surrounding passage

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