# Molecular-orbital representation with random U(1) variables

@article{Mizoguchi2022MolecularorbitalRW, title={Molecular-orbital representation with random U(1) variables}, author={Tomonari Mizoguchi and Yasuhiro Hatsugai}, journal={Physical Review B}, year={2022} }

We propose random tight-binding models that host macroscopically degenerate zero energy modes and belong to the unitary class. Specifically, we employ the molecular-orbital representation, where a Hamiltonian is constructed by a set of non-orthogonal orbitals composed of linear combinations of atomic orbitals. By setting the coefficients appearing in molecular orbitals to be random U(1) variables, we can make the models belong to the unitary class. We find two characteristic behaviors that are…

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