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

@misc{zakharov2026symmetric,
  title = {{Symmetric mass generation of interacting chiral fermions on a one-dimensional lattice without fermion doubling}},
  author = {V. A. Zakharov and Atsushi Ueda and Frank Verstraete and C. W. J. Beenakker},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2606.24713},
  eprint = {2606.24713},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2606.24713},
}

TY  - UNPB
TI  - Symmetric mass generation of interacting chiral fermions on a one-dimensional lattice without fermion doubling
AU  - V. A. Zakharov
AU  - Atsushi Ueda
AU  - Frank Verstraete
AU  - C. W. J. Beenakker
PY  - 2026
DA  - 2026/09/02
PB  - arXiv
DO  - 10.48550/arxiv.2606.24713
UR  - https://arxiv.org/abs/2606.24713
AB  - 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.
ER  -