The half-filled optical Su-Schrieffer-Heeger-Hubbard model with uniaxial strain
Abstract
Strain offers a direct route to control electronic phases by altering bond lengths, hopping amplitudes, and lattice symmetries. These aspects make electron-phonon (e-ph) coupled systems a natural setting to study strain-induced effects. The Su-Schrieffer-Heeger (SSH) Hamiltonian describes the coupling between itinerant electrons and lattice degrees of freedom that modulate hopping and is thus expected to be strongly affected by strain fields. At half-filling and on a bipartite lattice, the SSH interactions drive dominant bond-order-wave (BOW) correlations at low- temperature in which short bonds with high kinetic energy alternate with long bonds with low kinetic energy along four possible patterns. We model uniaxial strain through anisotropic hopping, which breaks the 90∘ rotational symmetry and reduces the BOW phase degeneracy to two. We also include an on-site Hubbard U that promotes antiferromagnetic correlations that are also (weakly) driven by the SSH interaction itself. We map out the half-filled phase diagram in the plane of the e-ph and Hubbard couplings, and determine the critical temperature of BOW formation. Using analytic continuation, we also evaluate the spectral function and demonstrate directionally dependent gap formation in the BOW phase
Related
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- Transport properties and topological phase transitions for a Creutz-Su-Schrieffer-Heeger ladder
BibTeX
@misc{huang2026halffilled,
title = {{The half-filled optical Su-Schrieffer-Heeger-Hubbard model with uniaxial strain}},
author = {Jonah Huang and James Neuhaus and Benjamin Cohen-Stead and Steven Johnston and Richard Scalettar},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.00681},
eprint = {2610.00681},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.00681},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - The half-filled optical Su-Schrieffer-Heeger-Hubbard model with uniaxial strain
AU - Jonah Huang
AU - James Neuhaus
AU - Benjamin Cohen-Stead
AU - Steven Johnston
AU - Richard Scalettar
PY - 2026
DA - 2026/10/01
PB - arXiv
DO - 10.48550/arxiv.2610.00681
UR - https://arxiv.org/abs/2610.00681
AB - Strain offers a direct route to control electronic phases by altering bond lengths, hopping amplitudes, and lattice symmetries. These aspects make electron-phonon (e-ph) coupled systems a natural setting to study strain-induced effects. The Su-Schrieffer-Heeger (SSH) Hamiltonian describes the coupling between itinerant electrons and lattice degrees of freedom that modulate hopping and is thus expected to be strongly affected by strain fields. At half-filling and on a bipartite lattice, the SSH interactions drive dominant bond-order-wave (BOW) correlations at low- temperature in which short bonds with high kinetic energy alternate with long bonds with low kinetic energy along four possible patterns. We model uniaxial strain through anisotropic hopping, which breaks the 90^∘ rotational symmetry and reduces the BOW phase degeneracy to two. We also include an on-site Hubbard U that promotes antiferromagnetic correlations that are also (weakly) driven by the SSH interaction itself. We map out the half-filled phase diagram in the plane of the e-ph and Hubbard couplings, and determine the critical temperature of BOW formation. Using analytic continuation, we also evaluate the spectral function and demonstrate directionally dependent gap formation in the BOW phase
ER -