Helical Domain-Wall-Ring Networks Reshape Superconducting Correlations
Abstract
Extended domain-wall networks that emerge in moiré materials provide a distinct platform for quasi-one-dimensional electronic states. However, the interaction-driven orders in confined networks remain largely unexplored. Here, we discuss superconducting (SC) correlations in interacting helical domain-wall-ring networks in the closed topological domains formed within the moiré patterns of an underlying twisted bilayer honeycomb lattice. We first analyze the system within the framework of an infinite-size theory and show that inter-ring SC-pair tunneling is renormalization-group relevant in an appropriate interaction regime, favoring enhanced SC correlations through inter-ring phase locking. To address finite-size effects resulting from the ring-network geometry, we present a self-consistent variational approach. Our analysis shows that even in the regime where the infinite-size theory predicts strongly coupled pair tunneling, the induced phase-locking scale remains strongly suppressed. In contrast, the SC scaling dimension is governed mainly by density-density interactions and ring geometry, decreasing modestly with decreasing twist angle while remaining insensitive to the pair-tunneling strength. This discrepancy demonstrates that ring networks cannot generally be understood as simple finite-size truncations of their infinite-size counterparts but can exhibit qualitatively distinct collective behavior. Our study highlights how the interplay of confinement effects and ring-network geometry can reshape SC correlations.
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BibTeX
@misc{hung2026helical,
title = {{Helical Domain-Wall-Ring Networks Reshape Superconducting Correlations}},
author = {Yi-Chun Hung and Arun Bansil},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2606.23599},
eprint = {2606.23599},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2606.23599},
note = {CC BY-NC-ND 4.0},
}
RIS
TY - UNPB
TI - Helical Domain-Wall-Ring Networks Reshape Superconducting Correlations
AU - Yi-Chun Hung
AU - Arun Bansil
PY - 2026
DA - 2026/11/02
PB - arXiv
DO - 10.48550/arxiv.2606.23599
UR - https://arxiv.org/abs/2606.23599
AB - Extended domain-wall networks that emerge in moiré materials provide a distinct platform for quasi-one-dimensional electronic states. However, the interaction-driven orders in confined networks remain largely unexplored. Here, we discuss superconducting (SC) correlations in interacting helical domain-wall-ring networks in the closed topological domains formed within the moiré patterns of an underlying twisted bilayer honeycomb lattice. We first analyze the system within the framework of an infinite-size theory and show that inter-ring SC-pair tunneling is renormalization-group relevant in an appropriate interaction regime, favoring enhanced SC correlations through inter-ring phase locking. To address finite-size effects resulting from the ring-network geometry, we present a self-consistent variational approach. Our analysis shows that even in the regime where the infinite-size theory predicts strongly coupled pair tunneling, the induced phase-locking scale remains strongly suppressed. In contrast, the SC scaling dimension is governed mainly by density-density interactions and ring geometry, decreasing modestly with decreasing twist angle while remaining insensitive to the pair-tunneling strength. This discrepancy demonstrates that ring networks cannot generally be understood as simple finite-size truncations of their infinite-size counterparts but can exhibit qualitatively distinct collective behavior. Our study highlights how the interplay of confinement effects and ring-network geometry can reshape SC correlations.
ER -