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The Peierls–Nabarro amplitude as an emergent coupling constant: An explicit evaluation for the FCC Cosserat lattice
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DOI：10.1016/j.aop.2026.170613.png)
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Abstract
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A screw dislocation in a face-centred cubic Cosserat lattice, treated as a classical elastic system, produces a dimensionless tunnelling amplitude TPN−1=137.035999177. The elastic moduli follow from Born–Huang homogenisation of the discrete lattice. The single remaining parameter, the Cosserat coupling number N2, is fixed at 1/π by the rolling-contact condition for tangent spheres and confirmed variationally.
Keywords:
Peierls–Nabarro barrier
Cosserat elasticity
FCC lattice
Screw dislocation
Defect gauge theory
Emergent coupling constant
Analogue gravity
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