Momentum-resolved spectral functions of super-moiré systems using tensor networks

• URL: http://arxiv.org/abs/2512.18397v2
• Date: Tue, 23 Dec 2025 14:23:38 GMT
• Title: Momentum-resolved spectral functions of super-moiré systems using tensor networks
• Authors: Anouar Moustaj, Yitao Sun, Tiago V. C. Antão, Jose L. Lado,
• Abstract summary: We establish a tensor network methodology that allows computing momentum-resolved spectral functions of non-interacting and interacting super-moiré systems.<n>We demonstrate the method for one and two-dimensional super-moiré systems, including super-moiré with non-uniform strain.<n>Our results establish a powerful methodology to compute momentum-resolved spectral functions in exceptionally large super-moiré systems.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Computing spectral functions in large, non-periodic super-moiré systems remains an open problem due to the exceptionally large system size that must be considered. Here, we establish a tensor network methodology that allows computing momentum-resolved spectral functions of non-interacting and interacting super-moiré systems at an atomistic level. Our methodology relies on encoding an exponentially large tight-binding problem as an auxiliary quantum many-body problem, solved with a many-body kernel polynomial tensor network algorithm combined with a quantum Fourier transform tensor network. We demonstrate the method for one and two-dimensional super-moiré systems, including super-moiré with non-uniform strain, interactions treated at the mean-field level, and quasicrystalline super-moiré patterns. Furthermore, we demonstrate that our methodology allows us to compute momentum-resolved spectral functions restricted to selected regions of a super-moiré, enabling direct imaging of position-dependent electronic structure and minigaps in super-moiré systems with non-uniform strain. Our results establish a powerful methodology to compute momentum-resolved spectral functions in exceptionally large super-moiré systems, providing a tool to directly model scanning twisting microscope tunneling experiments in twisted van der Waals heterostructures.

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