Abstract

A review is given for recent theoretical studies on phase transitions in quasi-one-dimensional molecular conductors with a quarter-filled band. By lowering temperature, charge transfer salts exhibit a variety of transitions accompanying symmetry breaking, such as charge ordering, lattice dimerization, antiferromagnetic transition, spin-Peierls distortion, and so on. Analyses on microscopic quasi-one-dimensional models provide their systematic understandings, by the complementary use of different analytical and numerical techniques; they can reproduce finite-temperature phase transitions, whose results can be directly compared with experiments and give feedbacks to material design.

Highlights

  • Low-dimensional molecular conductors exhibit interplay between electron correlation highlighted by enhanced fluctuation and coupling to the lattice degree of freedom

  • We find the co-existence of dimerization and tetramerization [18,19]; This can be interpreted as the spontaneous formation of the DM state, leading to charge localization, the SP singlet formation

  • The studies on charge order (CO) as an origin of insulating behavior in the 2:1 charge transfer salts pointed to the importance of the strong-correlation effects, U and V

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Summary

Introduction

Low-dimensional molecular conductors exhibit interplay between electron correlation highlighted by enhanced fluctuation and coupling to the lattice degree of freedom. 4kF bond order: 2a modulation of the bonds, namely, dimerization in the transfer integrals makes the system effectively half-filled, the on-site Coulomb interaction can drive the system to a Mott insulating state. This is called as the dimer-Mott (DM) insulating state.

Extended Hubbard Model and Ground States
One-Dimensional Electronic Model
Electron-Lattice Coupling
Bosonization and Renormalization Group Study
One Dimensional Model
Quasi One Dimension
Transition Temperature
Quantities Across TCO
Numerical Study
Discussion
Summary
Full Text
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