One-dimensional band insulators with unexpected spectral signatures

One-dimensional (1D) metals have been a fascinating topic of research, both theoretically and experimentally. Much of the interest stems from the theoretical prediction that Fermi liquid theory breaks down in one-dimension, and a novel quantum liquid is formed, the Tomonaga-Luttinger liquid (see above the paragraph on the Bechgaard salts). We have explored the possibility that even a 1D band insulator may deviate significantly from the standard preconceptions. Indeed, our optical data on (NbSe4)3I show unexpected spectral signatures. The optical conductivity (Fig. 3.5) has a high frequency tail following the power law σ1(ω)~ ωwith γ ~ 4.25. This exponent is distinctly different from what has been measured or predicted in other 1D systems. In typical 1D Mott insulators like the Bechgaard salts (TMTSF)2X (for X = PF6, AsF6 and ClO4) γ ~ 1.3 (Fig. 3.6) is observed, in line with theoretical predictions, while for a rigid 1D band insulator γ ~3 or ~2 when phonons are also included as in the case of CDW systems like the (TMTSF)2ReO4 salt. That our observed γ-value is larger than those predicted, suggests that current relaxation involves a less efficient mechanism in (NbSe4)3I than those treated theoretically hitherto.

Enlarged view: Figure 3.5
Figure 3.5: Optical conductivity of (NbSe4)3I in the mid-infrared range, showing the peculiar power-law behaviour.
Enlarged view: Figure 3.6
Figure 3.6: Optical conductivity in the mid-infrared range of the (TMTSF)2X salts. The maximum value of σ1 and the frequency, where the maximum occurs, of the charge gap are represented by σpeak and ωpeak, respectively. The solid line is the power law σ1(ω) ~ ω with γ = 1.3 (for X = PF6, AsF6 and ClO4) and γ = 1.9 (for X = ReO4).
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