The metal-insulator transition in one dimension

Conference · Sat Dec 31 04:00:00 EST 1994

OSTI ID:68429

Schultz, H J ^[1]

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1. Universite Paris, Orsay (France)

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{sub {rho}} and u{sub {sigma}} of the charge and spin excitations, as well as by a parameter K{sub {rho}} that determines the power law behavior of correlation functions. Umklapp scattering occurring at half-filling or other commensurate band-filling 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 {open_quote}order{close_quote} 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.

• Research Organization: Los Alamos National Lab., NM (United States)
• OSTI ID: 68429
• Report Number(s): LA-UR--94-1148; CONF-931247--; ON: DE94009293; CNN: Contract CII/0568
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
COLLECTIVE EXCITATIONS
ELECTRICAL INSULATORS
ELECTRON CORRELATION
FERMI GAS
METALS
ONE-DIMENSIONAL CALCULATIONS
PHASE TRANSFORMATIONS
SPIN