Interchain conductivity of coupled Luttinger liquids and organic conductors

Abstract

We reconsider the theory of dc and ac interchain conductivity in quasi-one dimensional systems. Our results are in good agreement with the measured c-axis optical conductivity of (TMTSF)2ClO4 and suggest that the c-axis dc-conductivity of (TMTSF)2PF6 in the 150K < T < 300K range is dominated by precursor effects of Mott localization. The crossover from a Luttinger liquid at high energy to a Fermi liquid at low energy is also addressed, within a dynamical mean-field theory. Implications for the inter-chain resistivity and Drude weight in the Fermi liquid regime are discussed.

Magic-angle effects in the interlayer magnetoresistance of quasi-one-dimensional metals due to interchain incoherence

“…[15][16][17][18][19][20][21] Most of them are based on a small overlap of electronic wave functions in the direction of the magnetic field, but suggestions based on a Luttinger liquid approach have also been made. 22,23 The theory developed by Osada, Kagoshima, and Miura 15 captures many details of the experimental data. 24 However, that theory requires the existence of very long-range hopping (for example, the second nearest-neighbor hopping integral in a tight-binding model is of the same order of magnitude as the next-nearest neighbor integral).…”

One Dimensional Organic Superconductors

“…can be anticipated in the 1-D regime (T>T*) [86] and α=0.64 [83]. This value for ρ K agrees fairly well with the ¼ filled scenario and W = 12000K (from band structure calculations and plasma edge measurements),…”

Conduction anisotropy, Hall effect and magnetoresistance of (TMTSF)2ReO4 at high temperatures

“…15 Optical experiments on (TMTSF) 2 X (X = PF 6 , AsF 6 , and ClO 4 ) along the chains 7,8 yield K ρ = 0.23; the corresponding experiments perpendicular to the chains are in progress. 34 On the other hand, by using K ρ = 0.234, we obtain for the transverse resistivity ρ ⊥ ∼ T −0.25 (shown as dashed line in Fig.…”

“…using the conventional FL theory 13 and LL concept. 14 More recently, the theoretical calculations of the in-chain and inter-chain conductivity as well as of the Hall effect in a system of weakly coupled LL chains have been performed, 15,16 giving the explicit expressions as a function of temperature and frequency, but the measurements of dc transport in (TMTSF) 2 PF 6 along the c * -axis are not fully understood theoretically from a LL picture. 9,15 The aim of this paper is to contribute to these, still open, questions about the nature of the metallic state in Bechgaard salts by studying the anisotropic transport properties of yet another member of the Bechgaard salts family (TMTSF) 2 ReO 4 .…”