Abstract
The one-dimensional extended Hubbard model with lattice dimerization and alternated site potentials is analyzed using the renormalization group method. The coupling of electrons to structural degrees of freedom such as the anion lattice and acoustic phonons is investigated to obtain the possible instabilities against the formation of lattice superstructures. Applications of the theory to anionic and spin-Peierls instabilities in the Fabre and Bechgaard salts series of organic conductors and ordered alloys are presented and discussed.
Highlights
The discovery of the amazing variety of electronic and structural phases in the Bechgaard andFabre charge transfer salts series (TMTSF)2 X and (TMTTF)2 X over the last four decades or so continues to arouse great interest in the field of organic conductors [1,2,3,4,5,6,7,8,9,10,11,12,13]
As a second application of our model, we examine the influence of charge ordering on the spin-Peierls instability of weakly localized 1D Mott insulators of the Fabre salts series
Hubbard model at quarter-filling with superimposed dimerization, site and anion alternating lattice potentials, as they can be found in practice in low-dimensional charge transfer salts with a 2:1 stochiometry
Summary
The discovery of the amazing variety of electronic and structural phases in the Bechgaard andFabre charge transfer salts series (TMTSF) X and (TMTTF) X over the last four decades or so continues to arouse great interest in the field of organic conductors [1,2,3,4,5,6,7,8,9,10,11,12,13]. The part played by lattice commensurability was very early suspected to be among the determinant factors behind the occurence of electronic and lattice instabilities found in the phase diagram of these charge transfer salts. This is the case of the importance attributed to the weak but finite dimerization of the organic stacks. It is characterized by a lattice periodicity of wave vector. 4k F (k F being the Fermi wave vector along the stacks) that coincides with the one of the anion lattice. This superstructure superimposes to the basic quarter-filled commensurability of the hole band structure, which is fixed by the complete charge transfer and stoichiometry of the salts
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