We solve by dynamical mean field theory a toy model that has a phase diagram strikingly similar to that of high-T-c superconductors: a bell-shaped superconducting region adjacent to the Mott insulator and a normal phase that evolves from a conventional Fermi liquid to a pseudogapped semimetal as the Mott transition is approached. Guided by the physics of the impurity model that is self-consistently solved within dynamical mean field theory, we introduce an analytical ansatz to model the dynamical behavior across the various phases which fits the numerical data very accurately. The ansatz is based on the assumption that the wave-function renormalization, which is very severe, especially in the pseudogap phase close to the Mott transition, is perfectly canceled by the vertex corrections in the Cooper pairing channel. A remarkable outcome is that a superconducting state can develop even from a pseudogapped normal state in which there are no low-energy quasiparticles. The overall physical scenario that emerges, although unraveled in a specific model and in an infinite-coordination Bethe lattice, can be interpreted in terms of arguments general enough to suggest that it can be realized in other correlated systems. RI Capone, Massimo/A-7762-2008; Schiro, Marco/A-2037-2012

Strongly correlated superconductivity arising in a pseudogap metal / Schiro, M.; Capone, M.; Fabrizio, M.; Castellani, C.. - In: PHYSICAL REVIEW. B, CONDENSED MATTER AND MATERIALS PHYSICS. - ISSN 1098-0121. - 77:10(2008), pp. 1-13. [10.1103/PhysRevB.77.104522]

Strongly correlated superconductivity arising in a pseudogap metal

Capone, M.;Fabrizio, M.;
2008-01-01

Abstract

We solve by dynamical mean field theory a toy model that has a phase diagram strikingly similar to that of high-T-c superconductors: a bell-shaped superconducting region adjacent to the Mott insulator and a normal phase that evolves from a conventional Fermi liquid to a pseudogapped semimetal as the Mott transition is approached. Guided by the physics of the impurity model that is self-consistently solved within dynamical mean field theory, we introduce an analytical ansatz to model the dynamical behavior across the various phases which fits the numerical data very accurately. The ansatz is based on the assumption that the wave-function renormalization, which is very severe, especially in the pseudogap phase close to the Mott transition, is perfectly canceled by the vertex corrections in the Cooper pairing channel. A remarkable outcome is that a superconducting state can develop even from a pseudogapped normal state in which there are no low-energy quasiparticles. The overall physical scenario that emerges, although unraveled in a specific model and in an infinite-coordination Bethe lattice, can be interpreted in terms of arguments general enough to suggest that it can be realized in other correlated systems. RI Capone, Massimo/A-7762-2008; Schiro, Marco/A-2037-2012
2008
77
10
1
13
104522
Schiro, M.; Capone, M.; Fabrizio, M.; Castellani, C.
File in questo prodotto:
File Dimensione Formato  
0801.3577.pdf

accesso aperto

Tipologia: Documento in Pre-print
Licenza: Non specificato
Dimensione 497.06 kB
Formato Adobe PDF
497.06 kB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/14286
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 11
  • ???jsp.display-item.citation.isi??? 10
social impact