Tensor-network methodology for real-space super-moiré excitons
- 1Aalto University
- 2University of Utrecht
Abstract
Computing excitonic spectra in quasicrystal and super-moiré systems constitutes a formidable challenge due to the exceptional size of the excitonic Hilbert space. Here, we demonstrate a tensor-network method for the real-space Bethe-Salpeter Hamiltonian, allowing us to access the spectra of an excitonic 10^{18} 10 18 -dimensional Hamiltonian, and enabling the direct computation of bound-exciton spectral functions for systems exceeding one billion lattice sites, several orders of magnitude beyond the capabilities of conventional approaches. Our method combines a tensor-network encoding of the real-space Bethe-Salpeter Hamiltonian with a Chebyshev tensor network algorithm. This strategy bypasses explicit storage of the Hamiltonian while preserving full real-space resolution across widely different length scales. We demonstrate our methodology for one- and two-dimensional super-moiré systems, achieving the simultaneous resolution of atomistic and mesoscopic structures in the excitonic spectra in billion-size systems, showing exciton miniband formation and moiré-induced spatial confinement. Our results establish a real-space methodology enabling the simulation of excitonic physics in large-scale quasicrystal and super-moiré quantum matter.
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BibTeX
@article{moustaj2026tensornetwork,
title = {{Tensor-network methodology for real-space super-moiré excitons}},
author = {Anouar Moustaj and Yitao Sun and Tiago Antão and Lumen Eek and Jose L. Lado},
journal = {SciPost},
year = {2026},
month = nov,
doi = {10.21468/scipostphys.21.5.108},
url = {http://scipost.org/SciPostPhys.21.5.108},
note = {CC BY 4.0},
}
RIS
TY - JOUR
TI - Tensor-network methodology for real-space super-moiré excitons
AU - Anouar Moustaj
AU - Yitao Sun
AU - Tiago Antão
AU - Lumen Eek
AU - Jose L. Lado
PY - 2026
DA - 2026/11/02
JO - SciPost
DO - 10.21468/scipostphys.21.5.108
UR - http://scipost.org/SciPostPhys.21.5.108
AB - Computing excitonic spectra in quasicrystal and super-moiré systems constitutes a formidable challenge due to the exceptional size of the excitonic Hilbert space. Here, we demonstrate a tensor-network method for the real-space Bethe-Salpeter Hamiltonian, allowing us to access the spectra of an excitonic 10^{18} 10 18 -dimensional Hamiltonian, and enabling the direct computation of bound-exciton spectral functions for systems exceeding one billion lattice sites, several orders of magnitude beyond the capabilities of conventional approaches. Our method combines a tensor-network encoding of the real-space Bethe-Salpeter Hamiltonian with a Chebyshev tensor network algorithm. This strategy bypasses explicit storage of the Hamiltonian while preserving full real-space resolution across widely different length scales. We demonstrate our methodology for one- and two-dimensional super-moiré systems, achieving the simultaneous resolution of atomistic and mesoscopic structures in the excitonic spectra in billion-size systems, showing exciton miniband formation and moiré-induced spatial confinement. Our results establish a real-space methodology enabling the simulation of excitonic physics in large-scale quasicrystal and super-moiré quantum matter.
SN - 2542-4653
ER -