Neural network impurity solver for real-frequency dynamical mean-field theory

Fuente: arXiv
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Main Authors: Deng, Fenglin, Lu, Yi, Cao, Xiaodong, Zhong, Zhicheng
Format: Preprint
Published: 2025
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_version_ 1866917089301757952
author Deng, Fenglin
Lu, Yi
Cao, Xiaodong
Zhong, Zhicheng
author_facet Deng, Fenglin
Lu, Yi
Cao, Xiaodong
Zhong, Zhicheng
contents We introduce a neural network impurity solver for real-frequency DMFT that employs a multihead cross-attention mechanism to map hybridization functions to spectral functions, conditioned on impurity parameters. Trained on high-quality MPS data from complex contour time evolution and incorporating derivative constraints with respect to the complex-time angle, our model achieves smooth generalization to the real-frequency axis. Benchmarking on the single-band Hubbard model for the Bethe lattice demonstrates quantitative accuracy across metallic, strongly correlated, and insulating regimes.
format Preprint
id arxiv_https___arxiv_org_abs_2511_14505
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Neural network impurity solver for real-frequency dynamical mean-field theory
Deng, Fenglin
Lu, Yi
Cao, Xiaodong
Zhong, Zhicheng
Strongly Correlated Electrons
We introduce a neural network impurity solver for real-frequency DMFT that employs a multihead cross-attention mechanism to map hybridization functions to spectral functions, conditioned on impurity parameters. Trained on high-quality MPS data from complex contour time evolution and incorporating derivative constraints with respect to the complex-time angle, our model achieves smooth generalization to the real-frequency axis. Benchmarking on the single-band Hubbard model for the Bethe lattice demonstrates quantitative accuracy across metallic, strongly correlated, and insulating regimes.
title Neural network impurity solver for real-frequency dynamical mean-field theory
topic Strongly Correlated Electrons
url https://arxiv.org/abs/2511.14505