Symmetric mass generation of interacting chiral fermions on a one-dimensional lattice without fermion doubling

• URL: http://arxiv.org/abs/2606.24713v1
• Date: Tue, 23 Jun 2026 15:34:45 GMT
• Title: Symmetric mass generation of interacting chiral fermions on a one-dimensional lattice without fermion doubling
• Abstract summary: A direct lattice realization faces two obstacles: fermion doubling for local chiral discretizations and perturbative irrelevance of the six-fermion gapping interaction.<n>We formulate the model on a strictly one-dimensional tangent-fermion lattice, where a nonlocal hopping produces a single chiral branch without a mirror partner.<n> Density-matrix renormalization group calculations show the opening of an excitation gap in this regime without the appearance of a degenerate ground state.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Symmetric mass generation is the interaction-induced opening of a fermion gap without spontaneous symmetry breaking. The anomaly-free 3-4-5-0 model of Wang and Wen provides a minimal one-dimensional setting for this phenomenon, but a direct lattice realization faces two obstacles: fermion doubling for local chiral discretizations and perturbative irrelevance of the six-fermion gapping interaction. We address both obstacles. First, we formulate the model on a strictly one-dimensional tangent-fermion lattice, where a nonlocal hopping produces a single chiral branch without a mirror partner while retaining an efficient tensor-network representation. Second, we add a Hubbard-type density-density interaction (Luttinger parameter $K$) that reduces the scaling dimension of the 3-4-5-0 interaction from $5$ to $5K$, making it relevant for $K<2/5$. Density-matrix renormalization group calculations show the opening of an excitation gap in this regime without the appearance of a degenerate ground state, the hallmark of symmetric mass generation.

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