Temperature-driven transition from the Wigner Crystal to the Bond-Charge-Density Wave in the Quasi-One-Dimensional Quarter-Filled band

Abstract

It is known that within the interacting electron model Hamiltonian for the one-dimensional 1/4-filled band, the singlet ground state is a Wigner crystal only if the nearest neighbor electron-electron repulsion is larger than a critical value. We show that this critical nearest neighbor Coulomb interaction is different for each spin subspace, with the critical value decreasing with increasing spin. As a consequence, with the lowering of temperature, there can occur a transition from a Wigner crystal charge-ordered state to a spin-Peierls state that is a Bond-Charge-Density Wave with charge occupancies different from the Wigner crystal. This transition is possible because spin excitations from the spin-Peierls state in the 1/4-filled band are necessarily accompanied by changes in site charge densities. We apply our theory to the 1/4-filled band quasi-one-dimensional organic charge-transfer solids in general and to 2:1 tetramethyltetrathiafulvalene (TMTTF) and tetramethyltetraselenafulvalene (TMTSF) cationic salts in particular. We believe that many recent experiments strongly indicate the Wigner crystal to Bond-Charge-Density Wave transition in several members of the TMTTF family. We explain the occurrence of two different antiferromagnetic phases but a single spin-Peierls state in the generic phase diagram for the 2:1 cationic solids. The antiferromagnetic phases can have either the Wigner crystal or the Bond-Charge-Spin-Density Wave charge occupancies. The spin-Peierls state is always a Bond-Charge-Density Wave.

12 pages, 8 EPS figures. Longer version of previous manuscript. Contains new numerical data as well as greatly expanded discussion

References in corpus (32)

• One-Dimensional Fermi liquids
• Quantum Monte Carlo with Directed Loops
• Large enhancement of the thermopower in Na${}_x$CoO${}_2$ at high Na doping
• Charge ordering in the TMTTF family of molecular conductors
• The ferroelectric Mott-Hubbard phase of organic (TMTTF)2X conductors
• Antiferromagnetic Phases of One-Dimensional Quarter-Filled Organic Conductors
• Theoretical Aspects of Charge Ordering in Molecular Conductors
• Strong electronic correlations in superconducting organic charge transfer salts
• Competition and coexistence of bond and charge orders in (TMTTF)2AsF6
• Phase diagram of the one-dimensional extended Hubbard model with attractive and/or repulsive interactions at quarter filling
• Electron-lattice coupling and the broken symmetries of the molecular salt (TMTTF)${}_2$SbF${}_6$
• Theory of Coexisting Charge and Spin-Density Waves in (TMTTF)_2Br, (TMTSF)_2PF_6 and alpha-(BEDT-TTF)_2MHg(SCN)_4
• Bond and charge density waves in the isotropic interacting two-dimensional quarter-filled band and the insulating state proximate to organic superconductivity
• Metal-insulator and insulator-insulator transitions in the quarter-filled band organic conductors
• Phase diagram of the one dimensional Hubbard-Holstein Model at 1/2 and 1/4 filling
• Soliton Approach to Spin-Peierls Antiferromagnets: Large-Scale Numerical Results
• Possible Exotic Phases in the One-Dimensional Extended Hubbard Model
• High magnetic field induced charge density wave states in a quasi-one dimensional organic conductor
• Influence of the anion potential on the charge ordering in quasi-one dimensional charge transfer salts
• Coexistence of charge density waves, bond order waves and spin density waves in quasi-one dimensional charge transfer salts
• Charge Ordering in the One-Dimensional Extended Hubbard Model: Implication to the TMTTF Family of Organic Conductors
• Coexistence of Charge Order and Spin-Peierls Lattice Distortion in One-Dimensional Organic Conductors
• Peierls transition in the presence of finite-frequency phonons in the one-dimensional extended Peierls-Hubbard model at half-filling
• Redistribution of electronic charges in spin-Peierls state in (TMTTF)2AsF6 observed by 13C NMR
• Charge-density Waves Survive the Pauli Paramagnetic Limit
• Squaring the Triangle: Insulating Ground State of $N{a}_{0.5}Co{O}_2$
• Excitation Spectra of Structurally Dimerized and Spin-Peierls Chains in a Magnetic Field
• Finite-Temperature Charge-Ordering Transition and Fluctuation Effects in Quasi-One-Dimensional Electron Systems at Quarter Filling
• Charge disproportionation in (TMTTF)2SCN observed by 13C NMR
• Re-integerization of fractional charges in the correlated quarter-filled band
• Magnetic Phase Transition at 88 K in Na0.5CoO2 revealed by 23Na-NMR investigations
• Spin Conductance in one-dimensional Spin-Phonon systems

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• Quantum critical transition from charge-ordered to superconducting state in the triangular lattice negative-U extended Hubbard model
• The Valence Transition Model of Pseudogap, Charge-Order and Superconductivity in Electron- and Hole-Doped Copper Oxides
• 13C NMR study of the magnetic properties of the quasi-one-dimensional conductor, (TMTTF)2SbF6
• Spin and Charge Fluctuations and Lattice Effects on Charge Orders in α-(BEDT-TTF)_2I_3
• Cooperative enhancement of superconducting correlations by electron-electron and electron-phonon interactions in the quarter-filled band
• Phase competitions and coexistences in quasi-one-dimensional molecular conductors: exact diagonalization study
• Infrared Investigation of the Charge Ordering Pattern in the Organic Spin Ladder Candidate (DTTTF)2Cu(mnt)2
• Bond patterns and charge order amplitude in 1/4-filled charge-transfer solids
• Ground state and finite temperature behavior of 1/4-filled band zigzag ladders
• Magnetism of one-dimensional Wigner lattices and its impact on charge order
• Comment on "Tuning the Magnetic Dimensionality by Charge Ordering in the Molecular TMTTF Salts"
• Similarities in electronic properties of organic charge-transfer solids and layered cobaltates
• From valence bond solid to unconventional superconductivity in the organic charge-transfer solids
• Local singlets, frustration, and unconventional superconductivity in the organic charge-transfer solids
• Stability of correlated insulating states in molecular conductors from first-principles calculation