Unified description of cuprate superconductors using a four-band d-p model
In the 35 years since the discovery of cuprate superconductors, we have not yet reached a unified understanding of their properties, including their material dependence of the superconducting transition temperature T_{c}. The preceding theoretical and experimental studies have provided an overall pi...
Main Authors: | , , , , , , |
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Format: | Article |
Language: | English |
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American Physical Society
2021-08-01
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Series: | Physical Review Research |
Online Access: | http://doi.org/10.1103/PhysRevResearch.3.033157 |
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author | Hiroshi Watanabe Tomonori Shirakawa Kazuhiro Seki Hirofumi Sakakibara Takao Kotani Hiroaki Ikeda Seiji Yunoki |
author_facet | Hiroshi Watanabe Tomonori Shirakawa Kazuhiro Seki Hirofumi Sakakibara Takao Kotani Hiroaki Ikeda Seiji Yunoki |
author_sort | Hiroshi Watanabe |
collection | DOAJ |
description | In the 35 years since the discovery of cuprate superconductors, we have not yet reached a unified understanding of their properties, including their material dependence of the superconducting transition temperature T_{c}. The preceding theoretical and experimental studies have provided an overall picture of the phase diagram, and some important parameters for the T_{c}, such as the contribution of the Cu d_{z^{2}} orbital to the Fermi surface and the site-energy difference Δ_{dp} between the Cu d_{x^{2}−y^{2}} and O p orbitals. However, they are somewhat empirical and limited in scope, always including exceptions, and do not provide a comprehensive view of the series of cuprates. Here we propose a four-band d-p model as a minimal model to study material dependence in cuprates. Using the variational Monte Carlo method, we theoretically investigate the phase diagram for the La_{2}CuO_{4} and HgBa_{2}CuO_{4} systems and the correlation between the key parameters and the superconductivity. Our results comprehensively account for the empirical correlation between T_{c} and model parameters, and thus can provide a guideline for new material design. We also show that the effect of the nearest-neighbor d-d Coulomb interaction V_{dd} is actually quite important for the stability of superconductivity and phase competition. |
first_indexed | 2024-04-24T10:18:29Z |
format | Article |
id | doaj.art-79604615c08342ee8f847e6b2b27b596 |
institution | Directory Open Access Journal |
issn | 2643-1564 |
language | English |
last_indexed | 2024-04-24T10:18:29Z |
publishDate | 2021-08-01 |
publisher | American Physical Society |
record_format | Article |
series | Physical Review Research |
spelling | doaj.art-79604615c08342ee8f847e6b2b27b5962024-04-12T17:12:56ZengAmerican Physical SocietyPhysical Review Research2643-15642021-08-013303315710.1103/PhysRevResearch.3.033157Unified description of cuprate superconductors using a four-band d-p modelHiroshi WatanabeTomonori ShirakawaKazuhiro SekiHirofumi SakakibaraTakao KotaniHiroaki IkedaSeiji YunokiIn the 35 years since the discovery of cuprate superconductors, we have not yet reached a unified understanding of their properties, including their material dependence of the superconducting transition temperature T_{c}. The preceding theoretical and experimental studies have provided an overall picture of the phase diagram, and some important parameters for the T_{c}, such as the contribution of the Cu d_{z^{2}} orbital to the Fermi surface and the site-energy difference Δ_{dp} between the Cu d_{x^{2}−y^{2}} and O p orbitals. However, they are somewhat empirical and limited in scope, always including exceptions, and do not provide a comprehensive view of the series of cuprates. Here we propose a four-band d-p model as a minimal model to study material dependence in cuprates. Using the variational Monte Carlo method, we theoretically investigate the phase diagram for the La_{2}CuO_{4} and HgBa_{2}CuO_{4} systems and the correlation between the key parameters and the superconductivity. Our results comprehensively account for the empirical correlation between T_{c} and model parameters, and thus can provide a guideline for new material design. We also show that the effect of the nearest-neighbor d-d Coulomb interaction V_{dd} is actually quite important for the stability of superconductivity and phase competition.http://doi.org/10.1103/PhysRevResearch.3.033157 |
spellingShingle | Hiroshi Watanabe Tomonori Shirakawa Kazuhiro Seki Hirofumi Sakakibara Takao Kotani Hiroaki Ikeda Seiji Yunoki Unified description of cuprate superconductors using a four-band d-p model Physical Review Research |
title | Unified description of cuprate superconductors using a four-band d-p model |
title_full | Unified description of cuprate superconductors using a four-band d-p model |
title_fullStr | Unified description of cuprate superconductors using a four-band d-p model |
title_full_unstemmed | Unified description of cuprate superconductors using a four-band d-p model |
title_short | Unified description of cuprate superconductors using a four-band d-p model |
title_sort | unified description of cuprate superconductors using a four band d p model |
url | http://doi.org/10.1103/PhysRevResearch.3.033157 |
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