Interaction-Induced Bloch Geometry and Transverse Thermoelectric Transport
Abstract
Electron--electron interactions can reconstruct Bloch wave functions, changing their geometry and the associated thermoelectric response. We derive the linear thermoelectric response within the Hartree--Fock (HF) approximation using the thermal length-gauge density-matrix approach, resolving Drude, symmetric quantum-metric, and antisymmetric Berry-curvature contributions. In a noninteracting Bloch eigenbasis, we separate the reconstructed Berry connection into the noninteracting connection and an interaction connection. This gives bare, coherence, and interaction-connection contributions to the anomalous thermoelectric response. We determine the constraints imposed by spatial inversion, rotational, time-reversal, and combined symmetries on the three transport channels. In the relaxation-time approximation, the leading weak-broadening behavior is Γ−1 for the Drude contribution, Γ for the quantum-metric contribution, and Γ0 for the Berry-curvature contribution. The interband scalings apply away from band degeneracies. Self-consistent calculations for the triangular-lattice extended Hubbard model illustrate how interactions generate Berry curvature and a quantum metric, change the symmetry of the system, and thereby contribute to transverse thermoelectric transport.
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BibTeX
@misc{di2026interactioninduced,
title = {{Interaction-Induced Bloch Geometry and Transverse Thermoelectric Transport}},
author = {Heng-Yu Di and YuanDong Wang and Zhen-Gang Zhu and Gang Su},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.29486},
eprint = {2610.29486},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.29486},
}
RIS
TY - UNPB
TI - Interaction-Induced Bloch Geometry and Transverse Thermoelectric Transport
AU - Heng-Yu Di
AU - YuanDong Wang
AU - Zhen-Gang Zhu
AU - Gang Su
PY - 2026
DA - 2026/10/21
PB - arXiv
DO - 10.48550/arxiv.2610.29486
UR - https://arxiv.org/abs/2610.29486
AB - Electron--electron interactions can reconstruct Bloch wave functions, changing their geometry and the associated thermoelectric response. We derive the linear thermoelectric response within the Hartree--Fock (HF) approximation using the thermal length-gauge density-matrix approach, resolving Drude, symmetric quantum-metric, and antisymmetric Berry-curvature contributions. In a noninteracting Bloch eigenbasis, we separate the reconstructed Berry connection into the noninteracting connection and an interaction connection. This gives bare, coherence, and interaction-connection contributions to the anomalous thermoelectric response. We determine the constraints imposed by spatial inversion, rotational, time-reversal, and combined symmetries on the three transport channels. In the relaxation-time approximation, the leading weak-broadening behavior is Γ^−1 for the Drude contribution, Γ for the quantum-metric contribution, and Γ^0 for the Berry-curvature contribution. The interband scalings apply away from band degeneracies. Self-consistent calculations for the triangular-lattice extended Hubbard model illustrate how interactions generate Berry curvature and a quantum metric, change the symmetry of the system, and thereby contribute to transverse thermoelectric transport.
ER -