Coexistence of superconductivity with partially filled stripes in the Hubbard model

Author:

Xu Hao1ORCID,Chung Chia-Min234ORCID,Qin Mingpu56ORCID,Schollwöck Ulrich78ORCID,White Steven R.9ORCID,Zhang Shiwei10ORCID

Affiliation:

1. Department of Physics, College of William and Mary, Williamsburg, VA 23187, USA.

2. Department of Physics, National Sun Yat-sen University, Kaohsiung 80424, Taiwan.

3. Center for Theoretical and Computational Physics, National Sun Yat-sen University, Kaohsiung 80424, Taiwan.

4. Physics Division, National Center for Theoretical Sciences, Taipei 10617, Taiwan.

5. Key Laboratory of Artificial Structures and Quantum Control, School of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai 200240, China.

6. Hefei National Laboratory, Hefei 230088, China.

7. Arnold Sommerfeld Center for Theoretical Physics, Ludwig-Maximilians-Universität München, 80333 Munich, Germany.

8. Munich Center for Quantum Science and Technology (MCQST), 80799 Munich, Germany.

9. Department of Physics and Astronomy, University of California, Irvine, CA 92697, USA.

10. Center for Computational Quantum Physics, Flatiron Institute, New York, NY 10010, USA.

Abstract

The Hubbard model is an iconic model in quantum many-body physics and has been intensely studied, especially since the discovery of high-temperature cuprate superconductors. Combining the complementary capabilities of two computational methods, we found 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 was weaker and was accompanied by antiferromagnetic Néel correlations at low doping. The strong superconductivity on the hole-doped side coexisted with stripe order, which persisted into the overdoped region with weaker hole-density modulation. These stripe orders varied in fillings between 0.6 and 0.8. Our results suggest the applicability of the Hubbard model with next-nearest hopping for describing cuprate high–transition temperature ( T c ) superconductivity.

Publisher

American Association for the Advancement of Science (AAAS)

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