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- W1666584938 abstract "The low--energy excited states of a system of interacting one--dimensional fermions in a conducting state are collective charge and spin density oscillations. The unusual physical properties of such a system (called ``Luttinger liquid'') are characterized by the velocities $u_rho$ and $u_sigma$ of the charge and spin excitations, as well as by a parameter $K_rho$ that determines the power law behavior of correlation functions. Umklapp scattering occuring at half--filling or other commensurate bandfilling can lead to a transition into an insulating state, characterized in particular by a gap in the charge excitations (the Mott--Hubbard gap). The properties in the vicinity of the transition are shown to depend on both the way the transition is approached (constant bandfilling and varying interaction, or constant interaction and varying bandfilling) and on the ``order'' of the commensurability. In particular, even and odd fractional fillings show quite different behavior. This behavior is illustrated in detail using lattice models like the Hubbard model and its extensions." @default.
- W1666584938 created "2016-06-24" @default.
- W1666584938 creator A5024991983 @default.
- W1666584938 date "1994-12-07" @default.
- W1666584938 modified "2023-09-27" @default.
- W1666584938 title "The metal-insulator transition in one dimension" @default.
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- W1666584938 hasPublicationYear "1994" @default.
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