Coexistence of superconductivity with partially filled stripes in the Hubbard model

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Hauptverfasser: Xu, Hao, Chung, Chia-Min, Qin, Mingpu, Schollwöck, Ulrich, White, Steven R., Zhang, Shiwei
Format: Preprint
Veröffentlicht: 2023
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author Xu, Hao
Chung, Chia-Min
Qin, Mingpu
Schollwöck, Ulrich
White, Steven R.
Zhang, Shiwei
author_facet Xu, Hao
Chung, Chia-Min
Qin, Mingpu
Schollwöck, Ulrich
White, Steven R.
Zhang, Shiwei
contents Combining the complementary capabilities of two of the most powerful modern computational methods, we find superconductivity in both the electron- and hole-doped regimes of the two-dimensional Hubbard model (with next nearest neighbor hopping). In the electron-doped regime, superconductivity is weaker and is accompanied by antiferromagnetic Néel correlations at low doping. The strong superconductivity on the hole-doped side coexists with stripe order, which persists into the overdoped region with weaker hole density modulation. These stripe orders, neither filled as in the pure Hubbard model (no next nearest neighbor hopping) nor half-filled as seen in previous state-of-the-art calculations, vary in fillings between 0.6 and 0.8. The resolution of the tiny energy scales separating competing orders requires exceedingly high accuracy combined with averaging and extrapolating with a wide range of system sizes and boundary conditions. These results validate the applicability of this iconic model for describing cuprate high-$T_c$ superconductivity.
format Preprint
id arxiv_https___arxiv_org_abs_2303_08376
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Coexistence of superconductivity with partially filled stripes in the Hubbard model
Xu, Hao
Chung, Chia-Min
Qin, Mingpu
Schollwöck, Ulrich
White, Steven R.
Zhang, Shiwei
Superconductivity
Strongly Correlated Electrons
Computational Physics
Combining the complementary capabilities of two of the most powerful modern computational methods, we find superconductivity in both the electron- and hole-doped regimes of the two-dimensional Hubbard model (with next nearest neighbor hopping). In the electron-doped regime, superconductivity is weaker and is accompanied by antiferromagnetic Néel correlations at low doping. The strong superconductivity on the hole-doped side coexists with stripe order, which persists into the overdoped region with weaker hole density modulation. These stripe orders, neither filled as in the pure Hubbard model (no next nearest neighbor hopping) nor half-filled as seen in previous state-of-the-art calculations, vary in fillings between 0.6 and 0.8. The resolution of the tiny energy scales separating competing orders requires exceedingly high accuracy combined with averaging and extrapolating with a wide range of system sizes and boundary conditions. These results validate the applicability of this iconic model for describing cuprate high-$T_c$ superconductivity.
title Coexistence of superconductivity with partially filled stripes in the Hubbard model
topic Superconductivity
Strongly Correlated Electrons
Computational Physics
url https://arxiv.org/abs/2303.08376