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Emergent Supersymmetry from Strongly Interacting Majorana Zero Modes

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abstract

We show that a strongly interacting chain of Majorana zero modes exhibits a supersymmetric quantum critical point corresponding to the $c={7\over 10}$ tricritical Ising model, which separates a critical phase in the Ising universality class from a supersymmetric massive phase. We verify our predictions with numerical density-matrix-renormalization-group computations and determine the consequences for tunnelling experiments.

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2026 2

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Supersymmetric quantum criticality with discrete symmetry

cond-mat.str-el · 2026-05-30 · unverdicted · novelty 6.0

FRG analysis of Z_n-anisotropic Gross-Neveu-Yukawa theories shows irrelevant anisotropy for n>3 yielding N=2 supersymmetric criticality and a second length scale whose exponent satisfies ν'/ν = 1 + |y_n|/2.

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