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Phys. Rev. Lett. 70, 3780–3783 (1993)

Generalized hard-core fermions in one dimension: An exactly solvable Luttinger liquid

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G. Gómez-Santos
Departamento de Física de la Materia Condensada, Universidad Autónoma de Madrid, Cantoblanco 28049-Madrid, Spain

See Also: Erratum

Received 1 April 1993; published in the issue dated 14 June 1993

A model for interacting spinless fermions in one dimension is presented and solved exactly. The solution is shown to be a Luttinger liquid with charge density wave instabilities for well characterized filling factors. Under very plausible assumptions, the exact solution is extended to the spin case with the usual charge-spin separation into two different Luttinger liquids. Required technicalities are almost trivial but the solution is very rich: Periodicity of instabilities and correlation exponents can be chosen at will.

© 1993 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.70.3780
DOI:
10.1103/PhysRevLett.70.3780
PACS:
71.45.Lr, 71.10.+x, 72.15.Nj, 75.10.Jm

See Also

Erratum: G. Gómez-Santos, Generalized Hard-Core Fermions in One Dimension: An Exactly Solvable Luttinger Liquid, Phys. Rev. Lett. 73, 1053 (1994).