Zero modes with Gaussian, exponential, or polynomial decay are exact solutions when the mass diverges, stays finite, or vanishes at infinity.
Shen, Topological insulators Dirac equation in condensed matters (Springer, 2017)
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Zero energy modes with Gaussian, exponential, or polynomial decay: Exact solutions in hermitian and nonhermitian regimes
Zero modes with Gaussian, exponential, or polynomial decay are exact solutions when the mass diverges, stays finite, or vanishes at infinity.