Ground-state phase diagram of the t-t ′ -J model

Journal Article · 27 October 2021 · Proceedings of the National Academy of Sciences of the United States of America

DOI: https://doi.org/10.1073/pnas.2109978118 · OSTI ID:1828997

Jiang, Shengtao ^[1]; Scalapino, Douglas J. ^[2]; White, Steven R.  ^[1]

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1. Department of Physics and Astronomy, University of California, Irvine, CA 92697, and
2. Department of Physics, University of California, Santa Barbara, CA 93106

Significance Theoretical efforts to understand the superconducting cuprates have focused on a few simplified but challenging models: notably the Hubbard and the $t$ - $t^{\prime }$ - $J$ models. Using density matrix renormalization group (DMRG) simulations on width-8 cylinders, we study the ground-state phase diagram of the $t$ - $t$ ′- $J$ model. The next nearest-neighbor hopping $t^{\prime }$ allows one to distinguish between hole ( $t^{\prime }<0$ ) and electron doping ( $t^{\prime }>0$ ). We find for the magnetic, charge, and single-particle properties that this model roughly captures the differences between the electron- and hole-doped cuprates. However, the superconducting properties differ. For hole doping ( $t^{\prime }<0$ ), there is an absence of superconductivity, while for electron doping ( $t^{\prime }>$ 0), we find $d$ -wave superconductivity coexisting with antiferromagnetism and a secondary triplet $p$ -wave pairing component.

• Sponsoring Organization: USDOE
• Grant/Contract Number: SciDAC
• OSTI ID: 1828997
• Journal Information: Proceedings of the National Academy of Sciences of the United States of America, Journal Name: Proceedings of the National Academy of Sciences of the United States of America Vol. 118 Journal Issue: 44; ISSN 0027-8424
• Publisher: Proceedings of the National Academy of SciencesCopyright Statement
• Country of Publication: United States
• Language: English