Towards effective models for low-dimensional cuprates: From ground state Hamiltonian reconstruction to spectral functions
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arXiv
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| Autores principales: | , , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866911143022297088 |
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| author | Lange, Hannah Blatz, Tizian Schollwöck, Ulrich Paeckel, Sebastian Bohrdt, Annabelle |
| author_facet | Lange, Hannah Blatz, Tizian Schollwöck, Ulrich Paeckel, Sebastian Bohrdt, Annabelle |
| contents | Understanding which minimal effective model captures the essential physics of cuprates is a key step towards unraveling the mechanism behind high-$T_c$ superconductivity. Recent measurements of the dynamical spin structure factor (DSF) in cuprate ladder compounds have indicated the presence of a large effective attraction in the single-band Hubbard model, possibly mediated by phonons. Here, we demonstrate that similar DSF features can also be captured by $t$-$J$ descriptions with or even without any attractive term. Motivated by this observation, we systematically investigate the strength and origin of different contributions to the single-band Hamiltonians by downfolding either from the three-band Emery model or the electron-phonon coupled Hubbard-Holstein model. For one-dimensional systems, we find that the extended versions of both single-band descriptions can reproduce the experimentally observed DSF signatures. Finally, we extend our analysis to two dimensions by comparing two-hole correlation functions for the different single-band models. Our results provide new insights into the long-standing question of which single-band Hamiltonian can capture the essential physics of cuprates. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_06947 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Towards effective models for low-dimensional cuprates: From ground state Hamiltonian reconstruction to spectral functions Lange, Hannah Blatz, Tizian Schollwöck, Ulrich Paeckel, Sebastian Bohrdt, Annabelle Strongly Correlated Electrons Quantum Gases Superconductivity Understanding which minimal effective model captures the essential physics of cuprates is a key step towards unraveling the mechanism behind high-$T_c$ superconductivity. Recent measurements of the dynamical spin structure factor (DSF) in cuprate ladder compounds have indicated the presence of a large effective attraction in the single-band Hubbard model, possibly mediated by phonons. Here, we demonstrate that similar DSF features can also be captured by $t$-$J$ descriptions with or even without any attractive term. Motivated by this observation, we systematically investigate the strength and origin of different contributions to the single-band Hamiltonians by downfolding either from the three-band Emery model or the electron-phonon coupled Hubbard-Holstein model. For one-dimensional systems, we find that the extended versions of both single-band descriptions can reproduce the experimentally observed DSF signatures. Finally, we extend our analysis to two dimensions by comparing two-hole correlation functions for the different single-band models. Our results provide new insights into the long-standing question of which single-band Hamiltonian can capture the essential physics of cuprates. |
| title | Towards effective models for low-dimensional cuprates: From ground state Hamiltonian reconstruction to spectral functions |
| topic | Strongly Correlated Electrons Quantum Gases Superconductivity |
| url | https://arxiv.org/abs/2509.06947 |