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Titolo:
Scaling limit of the one-dimensional attractive Hubbard model: the non-half-filled band case
Autore:
Woynarovich, F; Forgacs, P;
Indirizzi:
Hungarianrycad Sci, Res Inst Solid State Phys & Opt, H-1525 Budapest, Hunga Hungarian Acad Sci Budapest Hungary H-1525 & Opt, H-1525 Budapest, Hunga Univ Tours, Fac Sci, Lab Math & Phys Theor, CNRS UPRES A,Dept Phys, F-37200 Univ Tours Tours France F-37200 s Theor, CNRS UPRES A,Dept Phys, F-37200
Titolo Testata:
NUCLEAR PHYSICS B
fascicolo: 3, volume: 538, anno: 1999,
pagine: 701 - 730
SICI:
0550-3213(19990118)538:3<701:SLOTOA>2.0.ZU;2-C
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,H-1525 Budapest Hungarian Acad Sci Pf 49 Budapest Hungary H-1525 Budapest
Citazione:
F. Woynarovich e P. Forgacs, "Scaling limit of the one-dimensional attractive Hubbard model: the non-half-filled band case", NUCL PHYS B, 538(3), 1999, pp. 701-730

Abstract

The scaling limit of the less than half-filled 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 half-filled case, the limiting model has a massive and a massless sector. The structure of the massive sector is closely analogous to that of the half-filled band and consequently to the chiral invariant SU(2) Gross-Neveu (CGN) model. The structure of the masslesssector differs from that of the half-filled 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 energy-momentum spectrum and the zero temperature free energy of the states with finite density coincides with that of the half-filled 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