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Title: Superconductivity in the doped Hubbard model and its interplay with next-nearest hopping t

Abstract

The Hubbard model is widely believed to contain the essential ingredients of high-temperature superconductivity. However, proving definitively that the model supports superconductivity is challenging. Here, we report a large-scale density matrix renormalization group study of the lightly doped Hubbard model on four-leg cylinders at hole doping concentration δ = 12.5%. We reveal a delicate interplay between superconductivity and charge density wave and spin density wave orders tunable via next-nearest neighbor hopping t ′. For finite t ′, the ground state is consistent with a Luther-Emery liquid with power-law superconducting and charge density wave correlations associated with half-filled charge stripes. In contrast, for t ′ = 0, superconducting correlations fall off exponentially, whereas charge density and spin density modulations are dominant. Our results indicate that a route to robust long-range superconductivity involves destabilizing insulating charge stripes in the doped Hubbard model.

Authors:
ORCiD logo; ORCiD logo
Publication Date:
Sponsoring Org.:
USDOE
OSTI Identifier:
1566907
Grant/Contract Number:  
AC02-76SF00515
Resource Type:
Published Article
Journal Name:
Science
Additional Journal Information:
Journal Name: Science Journal Volume: 365 Journal Issue: 6460; Journal ID: ISSN 0036-8075
Publisher:
American Association for the Advancement of Science (AAAS)
Country of Publication:
United States
Language:
English

Citation Formats

Jiang, Hong-Chen, and Devereaux, Thomas P. Superconductivity in the doped Hubbard model and its interplay with next-nearest hopping t ′. United States: N. p., 2019. Web. doi:10.1126/science.aal5304.
Jiang, Hong-Chen, & Devereaux, Thomas P. Superconductivity in the doped Hubbard model and its interplay with next-nearest hopping t ′. United States. doi:10.1126/science.aal5304.
Jiang, Hong-Chen, and Devereaux, Thomas P. Thu . "Superconductivity in the doped Hubbard model and its interplay with next-nearest hopping t ′". United States. doi:10.1126/science.aal5304.
@article{osti_1566907,
title = {Superconductivity in the doped Hubbard model and its interplay with next-nearest hopping t ′},
author = {Jiang, Hong-Chen and Devereaux, Thomas P.},
abstractNote = {The Hubbard model is widely believed to contain the essential ingredients of high-temperature superconductivity. However, proving definitively that the model supports superconductivity is challenging. Here, we report a large-scale density matrix renormalization group study of the lightly doped Hubbard model on four-leg cylinders at hole doping concentration δ = 12.5%. We reveal a delicate interplay between superconductivity and charge density wave and spin density wave orders tunable via next-nearest neighbor hopping t ′. For finite t ′, the ground state is consistent with a Luther-Emery liquid with power-law superconducting and charge density wave correlations associated with half-filled charge stripes. In contrast, for t ′ = 0, superconducting correlations fall off exponentially, whereas charge density and spin density modulations are dominant. Our results indicate that a route to robust long-range superconductivity involves destabilizing insulating charge stripes in the doped Hubbard model.},
doi = {10.1126/science.aal5304},
journal = {Science},
number = 6460,
volume = 365,
place = {United States},
year = {2019},
month = {9}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1126/science.aal5304

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