We propose a canonical tranformation approach to the effective interaction W-eff between two holes, based on the three-band Hubbard model but ready to include extra interactions as well. An effective two-body Hamiltonian can in principle be obtained including any kind of virtual intermediate states. We derive the closed-form analytic expression of the effective interaction including 4-body virtual states, describing the exchange of an electron-hole pair to all orders. The resulting integral equation, valid for the full plane, leads to a Cooper-like instability of the Fermi liquid. The two-hole bound states generalize those reported earlier in cluster calculations by exact diagonalisation methods. (C) 1998 Published by Elsevier Science Ltd. All rights reserved.

Cini, M., Stefanucci, G., Balzarotti, A. (1998). Canonical transformation of the three-band Hubbard model and hole pairing. SOLID STATE COMMUNICATIONS, 109(4), 229-233.

Canonical transformation of the three-band Hubbard model and hole pairing

CINI, MICHELE;STEFANUCCI, GIANLUCA;BALZAROTTI, ADALBERTO
1998-01-01

Abstract

We propose a canonical tranformation approach to the effective interaction W-eff between two holes, based on the three-band Hubbard model but ready to include extra interactions as well. An effective two-body Hamiltonian can in principle be obtained including any kind of virtual intermediate states. We derive the closed-form analytic expression of the effective interaction including 4-body virtual states, describing the exchange of an electron-hole pair to all orders. The resulting integral equation, valid for the full plane, leads to a Cooper-like instability of the Fermi liquid. The two-hole bound states generalize those reported earlier in cluster calculations by exact diagonalisation methods. (C) 1998 Published by Elsevier Science Ltd. All rights reserved.
1998
Pubblicato
Rilevanza internazionale
Articolo
Sì, ma tipo non specificato
Settore FIS/03 - FISICA DELLA MATERIA
English
Con Impact Factor ISI
Band structure; Electron energy levels; Hole traps; Integral equations; Ion exchange; Mathematical models; Canonical transformation; Cooper like instability; Fermi liquid; Hole pairing; Three band Hubbard model; Mathematical transformations
Cini, M., Stefanucci, G., Balzarotti, A. (1998). Canonical transformation of the three-band Hubbard model and hole pairing. SOLID STATE COMMUNICATIONS, 109(4), 229-233.
Cini, M; Stefanucci, G; Balzarotti, A
Articolo su rivista
File in questo prodotto:
Non ci sono file associati a questo prodotto.

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/2108/58668
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 15
  • ???jsp.display-item.citation.isi??? 16
social impact