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Titolo: Scaling limit of the onedimensional attractive Hubbard model: the nonhalffilled band case
Autore: Woynarovich, F; Forgacs, P;
 Indirizzi:
 Hungarianrycad Sci, Res Inst Solid State Phys & Opt, H1525 Budapest, Hunga Hungarian Acad Sci Budapest Hungary H1525 & Opt, H1525 Budapest, Hunga Univ Tours, Fac Sci, Lab Math & Phys Theor, CNRS UPRES A,Dept Phys, F37200 Univ Tours Tours France F37200 s Theor, CNRS UPRES A,Dept Phys, F37200
 Titolo Testata:
 NUCLEAR PHYSICS B
fascicolo: 3,
volume: 538,
anno: 1999,
pagine: 701  730
 SICI:
 05503213(19990118)538:3<701:SLOTOA>2.0.ZU;2C
 Fonte:
 ISI
 Lingua:
 ENG
 Soggetto:
 CHAIN; STATES; GAS;
 Tipo documento:
 Article
 Natura:
 Periodico
 Settore Disciplinare:
 Physical, Chemical & Earth Sciences
 Citazioni:
 21
 Recensione:
 Indirizzi per estratti:
 Indirizzo: Woynarovich, F Hungarian,Acad Sci, Res Inst Solid State Phys & Opt, Pf 49,H1525 Budapest Hungarian Acad Sci Pf 49 Budapest Hungary H1525 Budapest



 Citazione:
 F. Woynarovich e P. Forgacs, "Scaling limit of the onedimensional attractive Hubbard model: the nonhalffilled band case", NUCL PHYS B, 538(3), 1999, pp. 701730
Abstract
The scaling limit of the less than halffilled attractive Hubbard chain isstudied. This is a continuum limit in which the particle number per lattice site, n, is kept finite (0 < n < 1) while adjusting the interaction and bandwidth in such a way that there is a finite mass gap. We construct this limit both for the spectrum and the secular equations describing the excitations. We find that similarly to the halffilled case, the limiting model has a massive and a massless sector. The structure of the massive sector is closely analogous to that of the halffilled band and consequently to the chiral invariant SU(2) GrossNeveu (CGN) model. The structure of the masslesssector differs from that of the halffilled band case: the excitations areof particle and hole type, however they are not uniquely defined. The energy and the momentum of this sector exhibits a tower structure correspondingto a conformal field theory with c = 1 and SU(2) x SU(2) symmetry. The energymomentum spectrum and the zero temperature free energy of the states with finite density coincides with that of the halffilled case supporting the identification of the limiting model with the SU(2) symmetric CGN theory. (C) 1999 Elsevier Science B.V.
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Documento generato il 07/07/20 alle ore 12:23:42