The SU(N) Holstein Model
Abstract
From the condensed matter physics perspective, the most natural single orbital tight-binding Hamiltonians, and hence the most widely studied, contain two fermionic species, corresponding to spin up and spin down electrons. In cold atom systems, however, SU(N) symmetry, in which N > 2 fermionic species reside within a single band, also occurs. In order to understand such experiments, the SU(N) Hubbard model has been increasingly studied. Here we present determinant Quantum Monte Carlo simulations of the SU(N) {\it Holstein} Hamiltonian, in which N fermionic species couple to a single local phonon mode. We show that at half filling it has an insulating charge density wave phase (CDW) at low temperatures, in which empty sites alternate with sites with N particles. We determine the N=3 CDW phase diagram in the temperature, T, versus electron-phonon coupling, α, plane at fixed phonon frequency ω0 and half-filling ρ=1.5. The critical temperature Tc for N=3 can be as high as twice the maximum attainable for N=2. We also obtain the N dependence of Tc for a representative, fixed, ω0 and α.
BibTeX
@misc{feng2026holstein,
title = {{The SU(N) Holstein Model}},
author = {Chunhan Feng and Linh Pham and George Batrouni and Richard Scalettar},
howpublished = {arXiv},
year = {2026},
month = jun,
doi = {10.48550/arxiv.2606.25240},
eprint = {2606.25240},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2606.25240},
}
RIS
TY - UNPB
TI - The SU(N) Holstein Model
AU - Chunhan Feng
AU - Linh Pham
AU - George Batrouni
AU - Richard Scalettar
PY - 2026
DA - 2026/06/23
PB - arXiv
DO - 10.48550/arxiv.2606.25240
UR - https://arxiv.org/abs/2606.25240
AB - From the condensed matter physics perspective, the most natural single orbital tight-binding Hamiltonians, and hence the most widely studied, contain two fermionic species, corresponding to spin up and spin down electrons. In cold atom systems, however, SU(N) symmetry, in which N > 2 fermionic species reside within a single band, also occurs. In order to understand such experiments, the SU(N) Hubbard model has been increasingly studied. Here we present determinant Quantum Monte Carlo simulations of the SU(N) {\it Holstein} Hamiltonian, in which N fermionic species couple to a single local phonon mode. We show that at half filling it has an insulating charge density wave phase (CDW) at low temperatures, in which empty sites alternate with sites with N particles. We determine the N=3 CDW phase diagram in the temperature, T, versus electron-phonon coupling, α, plane at fixed phonon frequency ω_0 and half-filling ρ=1.5. The critical temperature T_c for N=3 can be as high as twice the maximum attainable for N=2. We also obtain the N dependence of T_c for a representative, fixed, ω_0 and α.
ER -