Anomalous temperature dependence of resistivity in quasi-one-dimensional conductors in a strong magnetic field

Abstract

We present a heuristic, semiphenomenological model of the anomalous temperature (T) dependence of resistivity ρ xx recently observed experimentally in the quasi-one-dimensional (Q1D) organic conductors of the (TMTSF) 2 X family in moderately strong magnetic fields. We suggest that a Q1D conductor behaves like an insulator (dρ xx /dT < 0), when its effective dimensionality is one, and like a metal (dρ xx /dT > 0), when its effective dimensionality is greater than one. Applying a magnetic field reduces the effective dimensionality of the system and switches the temperature dependence of resistivity between the insulating and metallic laws depending on the magnitude and orientation of the magnetic field. We critically analyze whether various microscopic models suggested in literature can produce such a behavior and find that none of the models is fully satisfactory. In particular, we perform detailed analytical and numerical calculations within the scenario of magneticfield-induced spin-density-wave precursor effect suggested by Gor'kov and find that the theoretical results do not agree with the experimental observations. 72.10. 72.15.Gd, 75.30.Fv, 74.70.Kn Typeset using REVT E X

Non-Fermi-Liquid Crossovers in a Quasi-One-Dimensional Conductor in a Tilted Magnetic Field

“…and, thus, Fermi liquid behavior is expected to restore also at angles close to 90 0 . [We note that there are some mathematical similarities between microscopic problem, considered in this Letter, and semi-phenomenological calculations of conductivity of a Q1D metal in a magnetic field [18]. Nevertheless, the physical conclusions of our Letter and Ref.…”

“…Nevertheless, the physical conclusions of our Letter and Ref. [18] are quiet different.] In conclusion, we discuss possible experimental applications of the suggested above Fermi liquid -non Fermi liquid angular crossovers (or phase transitions) in a Q1D conductor in high magnetic fields.…”

Conduction anisotropy and Hall effect in the organic conductor(TMTTF)2AsF6: Evidence for Luttinger liquid behavior and charge ordering

“…Nearly linear ρ a vs. T is expected within existing FL and LL theoretical models (in this case for K ρ ≈ 0.23 obtained from optical measurements). 25,30 Our experimental a-axis resistivity results for (TMTTF) 2 AsF 6 show that already under constant-pressure condition we obtain a smoother temperature dependence ρ a (T ) ∝ T 0.75 (for T > 260 K), i.e. even without conversion it is rather close to a linear temperature dependence (the corresponding K ρ has about the same values as for (TMTSF) 2 PF 6 ).…”

Comparison of experimental data and theoretical calculations for electrical resistivity and Hall coefficient in (TMTSF)2PF6

“…[2]. Before the experimental data became known, we had published theoretical calculations of the temperature dependences of the Hall coefficient [3] and electrical resistivity [4]. In the present paper, we quantitatively compare our theoretical predictions and the experimental results.…”