Beyond the conventional Emery model: crucial role of long-range hopping for cuprate superconductivity
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arXiv
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| Main Authors: | , , , , , , , , |
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| Format: | Preprint |
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2026
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| _version_ | 1866910201394757632 |
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| author | Jacob, Eric Malcolms, M. O. Christiansson, Viktor Verhoff, Leonard M. Worm, Paul Si, Liang Hansmann, Philipp Schäfer, Thomas Held, Karsten |
| author_facet | Jacob, Eric Malcolms, M. O. Christiansson, Viktor Verhoff, Leonard M. Worm, Paul Si, Liang Hansmann, Philipp Schäfer, Thomas Held, Karsten |
| contents | The Emery model is the quintessential model for cuprate superconductors. In his eponymous paper, Emery only considered the next-nearest-neighbor oxygen-copper hopping. Later, also the relevance of nearest- and next-nearest oxygen-oxygen hoppings has been pointed out. Using dynamical vertex approximation, we find a superconducting dome consistent with cuprates. However, long-range hoppings beyond the three conventional hopping parameters are necessary for the quantitatively correct phase diagram and for a proper d-wave order parameter. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2605_07739 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Beyond the conventional Emery model: crucial role of long-range hopping for cuprate superconductivity Jacob, Eric Malcolms, M. O. Christiansson, Viktor Verhoff, Leonard M. Worm, Paul Si, Liang Hansmann, Philipp Schäfer, Thomas Held, Karsten Strongly Correlated Electrons Materials Science Superconductivity The Emery model is the quintessential model for cuprate superconductors. In his eponymous paper, Emery only considered the next-nearest-neighbor oxygen-copper hopping. Later, also the relevance of nearest- and next-nearest oxygen-oxygen hoppings has been pointed out. Using dynamical vertex approximation, we find a superconducting dome consistent with cuprates. However, long-range hoppings beyond the three conventional hopping parameters are necessary for the quantitatively correct phase diagram and for a proper d-wave order parameter. |
| title | Beyond the conventional Emery model: crucial role of long-range hopping for cuprate superconductivity |
| topic | Strongly Correlated Electrons Materials Science Superconductivity |
| url | https://arxiv.org/abs/2605.07739 |