Noninteracting fermions with effective mass m_eff(x) ~ |x|^α form a determinantal point process whose large-N scaled kernel near the origin is a sum of two Bessel kernels with different indices rather than standard Airy or single-Bessel forms.
Bastard,Wave mechanics applied to semiconductor het- erostructures(New York, NY (USA); John Wiley and Sons Inc., 1990)
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Sluggish quantum mechanics of noninteracting fermions with spatially varying effective mass
Noninteracting fermions with effective mass m_eff(x) ~ |x|^α form a determinantal point process whose large-N scaled kernel near the origin is a sum of two Bessel kernels with different indices rather than standard Airy or single-Bessel forms.