Composite Operator Method Analysis of the Underdoped Cuprates Puzzle
The microscopical analysis of the unconventional and puzzling physics of the underdoped cuprates, as carried out lately by means of the composite operator method (COM) applied to the 2D Hubbard model, is reviewed and systematized. The 2D Hubbard model has been adopted as it has been considered the m...
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2014-01-01
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| Series: | Advances in Condensed Matter Physics |
| Online Access: | http://dx.doi.org/10.1155/2014/515698 |
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| author | Adolfo Avella |
| author_facet | Adolfo Avella |
| author_sort | Adolfo Avella |
| collection | DOAJ |
| description | The microscopical analysis of the unconventional and puzzling physics of the underdoped cuprates, as carried out lately by means of the composite operator method (COM) applied to the 2D Hubbard model, is reviewed and systematized. The 2D Hubbard model has been adopted as it has been considered the minimal model capable of describing the most peculiar features of cuprates held responsible for their anomalous behavior. COM is designed to endorse, since its foundation, the systematic emergence in any SCS of new elementary excitations described by composite operators obeying noncanonical algebras. In this case (underdoped cuprates—2D Hubbard model), the residual interactions—beyond a 2-pole approximation—between the new elementary electronic excitations, dictated by the strong local Coulomb repulsion and well described by the two Hubbard composite operators, have been treated within the noncrossing approximation. Given this recipe and exploiting the few unknowns to enforce the Pauli principle content in the solution, it is possible to qualitatively describe some of the anomalous features of high-Tc cuprate superconductors such as large versus small Fermi surface dichotomy, Fermi surface deconstruction (appearance of Fermi arcs), nodal versus antinodal physics, pseudogap(s), and kinks in the electronic dispersion. The resulting scenario envisages a smooth crossover between an ordinary weakly interacting metal sustaining weak, short-range antiferromagnetic correlations in the overdoped regime to an unconventional poor metal characterized by very strong, long-but-finite-range antiferromagnetic correlations leading to momentum-selective non-Fermi liquid features as well as to the opening of a pseudogap and to the striking differences between the nodal and the antinodal dynamics in the underdoped regime. |
| format | Article |
| id | doaj-art-5b85d6e570b84f98b267ef85152701b8 |
| institution | Kabale University |
| issn | 1687-8108 1687-8124 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Condensed Matter Physics |
| spelling | doaj-art-5b85d6e570b84f98b267ef85152701b82025-02-03T07:25:47ZengWileyAdvances in Condensed Matter Physics1687-81081687-81242014-01-01201410.1155/2014/515698515698Composite Operator Method Analysis of the Underdoped Cuprates PuzzleAdolfo Avella0Dipartimento di Fisica “E.R. Caianiello”, Università degli Studi di Salerno, 84084 Fisciano, ItalyThe microscopical analysis of the unconventional and puzzling physics of the underdoped cuprates, as carried out lately by means of the composite operator method (COM) applied to the 2D Hubbard model, is reviewed and systematized. The 2D Hubbard model has been adopted as it has been considered the minimal model capable of describing the most peculiar features of cuprates held responsible for their anomalous behavior. COM is designed to endorse, since its foundation, the systematic emergence in any SCS of new elementary excitations described by composite operators obeying noncanonical algebras. In this case (underdoped cuprates—2D Hubbard model), the residual interactions—beyond a 2-pole approximation—between the new elementary electronic excitations, dictated by the strong local Coulomb repulsion and well described by the two Hubbard composite operators, have been treated within the noncrossing approximation. Given this recipe and exploiting the few unknowns to enforce the Pauli principle content in the solution, it is possible to qualitatively describe some of the anomalous features of high-Tc cuprate superconductors such as large versus small Fermi surface dichotomy, Fermi surface deconstruction (appearance of Fermi arcs), nodal versus antinodal physics, pseudogap(s), and kinks in the electronic dispersion. The resulting scenario envisages a smooth crossover between an ordinary weakly interacting metal sustaining weak, short-range antiferromagnetic correlations in the overdoped regime to an unconventional poor metal characterized by very strong, long-but-finite-range antiferromagnetic correlations leading to momentum-selective non-Fermi liquid features as well as to the opening of a pseudogap and to the striking differences between the nodal and the antinodal dynamics in the underdoped regime.http://dx.doi.org/10.1155/2014/515698 |
| spellingShingle | Adolfo Avella Composite Operator Method Analysis of the Underdoped Cuprates Puzzle Advances in Condensed Matter Physics |
| title | Composite Operator Method Analysis of the Underdoped Cuprates Puzzle |
| title_full | Composite Operator Method Analysis of the Underdoped Cuprates Puzzle |
| title_fullStr | Composite Operator Method Analysis of the Underdoped Cuprates Puzzle |
| title_full_unstemmed | Composite Operator Method Analysis of the Underdoped Cuprates Puzzle |
| title_short | Composite Operator Method Analysis of the Underdoped Cuprates Puzzle |
| title_sort | composite operator method analysis of the underdoped cuprates puzzle |
| url | http://dx.doi.org/10.1155/2014/515698 |
| work_keys_str_mv | AT adolfoavella compositeoperatormethodanalysisoftheunderdopedcupratespuzzle |