Thermodynamics of the Two-Dimensional Hubbard Model Based on the Exact Two-Body S-Matrix
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| Format: | Artículo científico |
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Sociedade Brasileira de Física
2012
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| _version_ | 1876423071009603584 |
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| author | André LeClair |
| author_facet | André LeClair |
| contents | Thermodynamics of the Two-Dimensional Hubbard Model Based on the Exact Two-Body S-Matrix André LeClair Física, Astronomía y Matemáticas Hubbard model Superconductivity A new analytic treatment of the 2D Hubbard model at finite temperature and chemical potential is presented. A next-nearest-neighbor hopping term of strength t is included. This analysis is based upon a formulation of the statistical mechanics of particles in terms of the S-matrix. We show that for U/t large enough, a region of attractive interactions exists near the Fermi surface due to multi-loop quantum corrections. For t = -0.3, these attractive interactions exist for U/t > 6.4. Our analysis suggests that superconductivity may not exist for t = 0. Based on the existence of solutions of the integral equation for the pseudoenergy, we provide evidence for a phase transition and estimate Tc/t = 0.02 for U/t = 7.5 and t /t = -0.3 at hole doping 0.15. 2012 artículo científico 0103-9733 https://www.redalyc.org/articulo.oa?id=46423428005 http://www.redalyc.org/revista.oa?id=464 Brazilian Journal of Physics application/pdf Sociedade Brasileira de Física Brazilian Journal of Physics (Brasil) Num.1-2 Vol.42 |
| format | Artículo científico |
| id | redalyc_46423428005 |
| institution | Redalyc |
| language | |
| publishDate | 2012 |
| publisher | Sociedade Brasileira de Física |
| spellingShingle | Thermodynamics of the Two-Dimensional Hubbard Model Based on the Exact Two-Body S-Matrix André LeClair Física, Astronomía y Matemáticas Hubbard model Superconductivity Thermodynamics of the Two-Dimensional Hubbard Model Based on the Exact Two-Body S-Matrix André LeClair Física, Astronomía y Matemáticas Hubbard model Superconductivity A new analytic treatment of the 2D Hubbard model at finite temperature and chemical potential is presented. A next-nearest-neighbor hopping term of strength t is included. This analysis is based upon a formulation of the statistical mechanics of particles in terms of the S-matrix. We show that for U/t large enough, a region of attractive interactions exists near the Fermi surface due to multi-loop quantum corrections. For t = -0.3, these attractive interactions exist for U/t > 6.4. Our analysis suggests that superconductivity may not exist for t = 0. Based on the existence of solutions of the integral equation for the pseudoenergy, we provide evidence for a phase transition and estimate Tc/t = 0.02 for U/t = 7.5 and t /t = -0.3 at hole doping 0.15. 2012 artículo científico 0103-9733 https://www.redalyc.org/articulo.oa?id=46423428005 http://www.redalyc.org/revista.oa?id=464 Brazilian Journal of Physics application/pdf Sociedade Brasileira de Física Brazilian Journal of Physics (Brasil) Num.1-2 Vol.42 |
| title | Thermodynamics of the Two-Dimensional Hubbard Model Based on the Exact Two-Body S-Matrix |
| topic | Física, Astronomía y Matemáticas Hubbard model Superconductivity |
| url | https://www.redalyc.org/articulo.oa?id=46423428005 |