Uniform-Charge-Density d-Wave Superconductivity in the Pure t-J Model at 1/8 Doping on an Infinite Cylinder
Abstract
The ground state of the square-lattice t-J model at 1/8 hole doping has been the subject of a long-standing controversy, with conflicting numerical reports of stripe order versus superconductivity. Here, we address this debate using the variational uniform matrix product state (VUMPS) method, which optimizes the wave function directly in the thermodynamic limit along the cylinder axis and eliminates the boundary pinning effects that can arise in finite-cylinder calculations. On an infinite cylinder of circumference Ly = 8, we find a uniform-charge-density d-wave superconducting ground state with quasi-long-range pairing correlations. The dominant pairing occurs at zero center-of-mass momentum, while no sizable finite-momentum pairing component is detected. Twisted-boundary-condition calculations reveal a finite superconducting phase stiffness, with the order-parameter phase winding smoothly to follow the applied flux, providing an independent probe of the robustness of the superconductivity. Moreover, both charge and spin correlations decay rapidly, with no signatures of long-range stripe or magnetic order, in contrast to an Ly=6 cylinder at 1/6 doping where the same method readily identifies stripe order. Our results provide methodologically distinct evidence in the long-standing stripe--superconductivity debate in the pure t-J model and reveal uniform d-wave superconductivity in a minimal model of doped Mott insulators.
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BibTeX
@misc{yu2026uniformchargedensity,
title = {{Uniform-Charge-Density $d$-Wave Superconductivity in the Pure $t$-$J$ Model at $1/8$ Doping on an Infinite Cylinder}},
author = {Guangyu Yu and Zheng Zhu},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2609.37191},
eprint = {2609.37191},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.37191},
}
RIS
TY - UNPB
TI - Uniform-Charge-Density d-Wave Superconductivity in the Pure t-J Model at 1/8 Doping on an Infinite Cylinder
AU - Guangyu Yu
AU - Zheng Zhu
PY - 2026
DA - 2026/10/09
PB - arXiv
DO - 10.48550/arxiv.2609.37191
UR - https://arxiv.org/abs/2609.37191
AB - The ground state of the square-lattice t-J model at 1/8 hole doping has been the subject of a long-standing controversy, with conflicting numerical reports of stripe order versus superconductivity. Here, we address this debate using the variational uniform matrix product state (VUMPS) method, which optimizes the wave function directly in the thermodynamic limit along the cylinder axis and eliminates the boundary pinning effects that can arise in finite-cylinder calculations. On an infinite cylinder of circumference L_y = 8, we find a uniform-charge-density d-wave superconducting ground state with quasi-long-range pairing correlations. The dominant pairing occurs at zero center-of-mass momentum, while no sizable finite-momentum pairing component is detected. Twisted-boundary-condition calculations reveal a finite superconducting phase stiffness, with the order-parameter phase winding smoothly to follow the applied flux, providing an independent probe of the robustness of the superconductivity. Moreover, both charge and spin correlations decay rapidly, with no signatures of long-range stripe or magnetic order, in contrast to an L_y=6 cylinder at 1/6 doping where the same method readily identifies stripe order. Our results provide methodologically distinct evidence in the long-standing stripe--superconductivity debate in the pure t-J model and reveal uniform d-wave superconductivity in a minimal model of doped Mott insulators.
ER -