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0.09_{0.09}

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Turning that mathematics into a device means choosing a crystal whose tilt sits close to the critical value already, at rest, so that an achievable amount of strain can push it the rest of the way across. Push too little strain onto a crystal whose tilt starts far below 1 and the crossing never arrives before the crystal’s elastic limit does; start from a crystal whose tilt is already far above 1 and the crossing needs a strain the lattice cannot survive. The paper’s candidate is the tungsten ditelluride and molybdenum ditelluride family, sitting close enough to the type-I/type-II boundary that density-functional calculations already show strain can drive the transition, with the…

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0.09_{0.09}

Equation 9 · Crossed Fields

A Strained Crystal Is a Designer Spacetime

This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.

Turning that mathematics into a device means choosing a crystal whose tilt sits close to the critical value already, at rest, so that an achievable amount of strain can push it the rest of the way across. Push too little strain onto a crystal whose tilt starts far below 1 and the crossing never arrives before the crystal’s elastic limit does; start from a crystal whose tilt is already far above 1 and the crossing needs a strain the lattice cannot survive. The paper’s candidate is the tungsten ditelluride and molybdenum ditelluride family, sitting close enough to the type-I/type-II boundary that density-functional calculations already show strain can drive the transition, with the…

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0.09_{0.09}

Equation 14 · Crossed Fields

A Strained Crystal Is a Designer Spacetime

This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.

Here the paper states its first honest limitation before drawing another line of the device. Every strain-to-tilt sensitivity that goes into the temperature above is computed, not measured — no experiment between 2016 and 2026 reports a tilt parameter under strain in any real type-II material. The most recent attempt is the same Mo _{0.91} W _{0.09} Te _2 operando-strain study the device borrows its material choice from: Lanz and collaborators delivered tensile strain up to 0.34 percent along the crystal’s a-axis, reversible below about 0.17 percent, and measured a roughly 30-percent increase in the density of states at the Fermi level using strain-resolved photoemission — a careful,…

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