Negative Energy Antiferromagnetic Instantons Forming Cooper-Pairing ’Glue’ and ‘Hidden Order’ in High-Tc Cuprates
An emergence of magnetic boson of instantonic nature, that provides a Cooper-‘pairing glue’, is considered in the repulsive ’nested’ Hubbard model of superconducting cuprates. It is demonstrated that antiferromagnetic instantons of a spin density wave type may...
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MDPI AG
2018-11-01
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| Series: | Condensed Matter |
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| Online Access: | https://www.mdpi.com/2410-3896/3/4/39 |
| _version_ | 1818013312139395072 |
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| author | Sergei Mukhin |
| author_facet | Sergei Mukhin |
| author_sort | Sergei Mukhin |
| collection | DOAJ |
| description | An emergence of magnetic boson of instantonic nature, that provides a Cooper-‘pairing glue’, is considered in the repulsive ’nested’ Hubbard model of superconducting cuprates. It is demonstrated that antiferromagnetic instantons of a spin density wave type may have negative energy due to coupling with Cooper pair condensate. A set of Eliashberg like equations is derived and solved self-consistently, proving the above suggestion. An instantonic propagator plays the role of the Green function of the pairing ’glue’ boson. Simultaneously, the instantons defy condensation of the mean-field spin-density wave (SDW) order. We had previously demonstrated in analytical form that periodic chain of instanton-anti-instanton pairs along the axis of Matsubara time has zero scattering cross section for weakly perturbing external probes, like neutrons, etc., thus representing a ’hidden order’. Hence, the two competing orders, superconducting and antiferromagnetic, may coexist (below some <inline-formula> <math display="inline"> <semantics> <mrow> <msub> <mi>T</mi> <mi>c</mi> </msub> </mrow> </semantics> </math> </inline-formula>) in the form of the superconducting order coupled to ’hidden’ instantonic one. This new picture is discussed in relation with the mechanism of high temperature superconductivity. |
| first_indexed | 2024-04-14T06:31:34Z |
| format | Article |
| id | doaj.art-4bcb0e13d65b42d9860a1b6def32376b |
| institution | Directory Open Access Journal |
| issn | 2410-3896 |
| language | English |
| last_indexed | 2024-04-14T06:31:34Z |
| publishDate | 2018-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Condensed Matter |
| spelling | doaj.art-4bcb0e13d65b42d9860a1b6def32376b2022-12-22T02:07:35ZengMDPI AGCondensed Matter2410-38962018-11-01343910.3390/condmat3040039condmat3040039Negative Energy Antiferromagnetic Instantons Forming Cooper-Pairing ’Glue’ and ‘Hidden Order’ in High-Tc CupratesSergei Mukhin0Theoretical Physics and Quantum Technologies Department, National University of Science and Technology MISiS, Leninskiy ave. 4, 119049 Moscow, RussiaAn emergence of magnetic boson of instantonic nature, that provides a Cooper-‘pairing glue’, is considered in the repulsive ’nested’ Hubbard model of superconducting cuprates. It is demonstrated that antiferromagnetic instantons of a spin density wave type may have negative energy due to coupling with Cooper pair condensate. A set of Eliashberg like equations is derived and solved self-consistently, proving the above suggestion. An instantonic propagator plays the role of the Green function of the pairing ’glue’ boson. Simultaneously, the instantons defy condensation of the mean-field spin-density wave (SDW) order. We had previously demonstrated in analytical form that periodic chain of instanton-anti-instanton pairs along the axis of Matsubara time has zero scattering cross section for weakly perturbing external probes, like neutrons, etc., thus representing a ’hidden order’. Hence, the two competing orders, superconducting and antiferromagnetic, may coexist (below some <inline-formula> <math display="inline"> <semantics> <mrow> <msub> <mi>T</mi> <mi>c</mi> </msub> </mrow> </semantics> </math> </inline-formula>) in the form of the superconducting order coupled to ’hidden’ instantonic one. This new picture is discussed in relation with the mechanism of high temperature superconductivity.https://www.mdpi.com/2410-3896/3/4/39hidden orderCooper-pairing ’glue’instantonsEliashberg equationshigh-temperature superconductivity |
| spellingShingle | Sergei Mukhin Negative Energy Antiferromagnetic Instantons Forming Cooper-Pairing ’Glue’ and ‘Hidden Order’ in High-Tc Cuprates Condensed Matter hidden order Cooper-pairing ’glue’ instantons Eliashberg equations high-temperature superconductivity |
| title | Negative Energy Antiferromagnetic Instantons Forming Cooper-Pairing ’Glue’ and ‘Hidden Order’ in High-Tc Cuprates |
| title_full | Negative Energy Antiferromagnetic Instantons Forming Cooper-Pairing ’Glue’ and ‘Hidden Order’ in High-Tc Cuprates |
| title_fullStr | Negative Energy Antiferromagnetic Instantons Forming Cooper-Pairing ’Glue’ and ‘Hidden Order’ in High-Tc Cuprates |
| title_full_unstemmed | Negative Energy Antiferromagnetic Instantons Forming Cooper-Pairing ’Glue’ and ‘Hidden Order’ in High-Tc Cuprates |
| title_short | Negative Energy Antiferromagnetic Instantons Forming Cooper-Pairing ’Glue’ and ‘Hidden Order’ in High-Tc Cuprates |
| title_sort | negative energy antiferromagnetic instantons forming cooper pairing glue and hidden order in high tc cuprates |
| topic | hidden order Cooper-pairing ’glue’ instantons Eliashberg equations high-temperature superconductivity |
| url | https://www.mdpi.com/2410-3896/3/4/39 |
| work_keys_str_mv | AT sergeimukhin negativeenergyantiferromagneticinstantonsformingcooperpairingglueandhiddenorderinhightccuprates |