Theoretical Aspects of Charge Ordering in Molecular Conductors

Abstract

Theoretical studies on charge ordering phenomena in quarter-filled molecular (organic) conductors are reviewed. Extended Hubbard models including not only the on-site but also the inter-site Coulomb repulsion are constructed in a straightforward way from the crystal structures, which serve for individual study on each material as well as for their systematic understandings. In general the inter-site Coulomb interaction stabilizes Wigner crystal-type charge ordered states, where the charge localizes in an arranged manner avoiding each other, and can drive the system insulating. The variety in the lattice structures, represented by anisotropic networks in not only the electron hopping but also in the inter-site Coulomb repulsion, brings about diverse problems in low-dimensional strongly correlated systems. Competitions and/or co-existences between the charge ordered state and other states are discussed, such as metal, superconductor, and the dimer-type Mott insulating state which is another typical insulating state in molecular conductors. Interplay with magnetism, e.g., antiferromagnetic state and spin gapped state for example due to the spin-Peierls transition, is considered as well. Distinct situations are pointed out: influences of the coupling to the lattice degree of freedom and effects of geometrical frustration which exists in many molecular crystals. Some related topics, such as charge order in transition metal oxides and its role in new molecular conductors, are briefly remarked.

21 pages, 19 figures, to be published in J. Phys. Soc. Jpn. special issue on "Organic Conductors"; figs. 4 and 11 replaced with smaller sized file

References in corpus (60)

• Correlated Electrons in High Temperature Superconductors
• One-Dimensional Fermi liquids
• Charge-ordering, commensurability and metallicity in the phase diagram of layered Na(x)CoO(2)
• Charge Ordering in Organic ET Compounds
• Similarities between organic and cuprate superconductors
• Charge ordering in the TMTTF family of molecular conductors
• The ferroelectric Mott-Hubbard phase of organic (TMTTF)2X conductors
• Magnetic light scattering in low-dimensional quantum spin systems
• Antiferromagnetic Phases of One-Dimensional Quarter-Filled Organic Conductors
• Pairing due to Spin Fluctuations in Layered Organic Superconductors
• Superconductivity mediated by charge fluctuations in layered molecular crystals
• Mott transition in one dimension
• Phase Diagram of Superconductivity on the Anisotropic Triangular Lattice Hubbard Model
• Spin Fluctuation-Induced Superconductivity in Organic Compounds
• Phase diagram of the one-dimensional extended Hubbard model at quarter filling
• Superconducting states in frustrating t-J model: A model connecting high-$T_c$ cuprates, organic conductors and Na${}_x$CoO${}_2$
• Phase diagram of the one-dimensional extended Hubbard model with attractive and/or repulsive interactions at quarter filling
• Possible effects of charge frustration in Na${}_x$CoO${}_2$: bandwidth suppression, charge orders and resurrected RVB superconductivity
• Phase diagram of the two-dimensional extended Hubbard model: Phase transitions between different pairing symmetries when charge and spin fluctuations coexist
• Electron-lattice coupling and the broken symmetries of the molecular salt (TMTTF)${}_2$SbF${}_6$
• Charge ordering and antiferromagnetic exchange in layered molecular crystals of the theta type
• Charge gap in the one--dimensional dimerized Hubbard model at quarter-filling
• Tomonaga-Luttinger parameters for doped Mott insulators
• Quantum Melting of Charge Order due to Frustration in Two-Dimensional Quarter-Filled Systems
• Superconductivity in Na_xCoO_2yH_2O by charge fluctuation
• Metal-insulator and insulator-insulator transitions in the quarter-filled band organic conductors
• Reentrant charge order transition in the extended Hubbard model
• Deducing correlation parameters from optical conductivity in the Bechgaard salts
• Charge ordering in theta-(BEDT-TTF)_2 X materials
• Pairing Symmetry Competition in Organic Superconductors
• Influence of the anion potential on the charge ordering in quasi-one dimensional charge transfer salts
• Mean-field study of charge order with long periodicity in $\theta$-(BEDT-TTF)${}_2$X
• Charge Ordering in the One-Dimensional Extended Hubbard Model: Implication to the TMTTF Family of Organic Conductors
• Coexistence of charge density waves, bond order waves and spin density waves in quasi-one dimensional charge transfer salts
• Coexistence of Charge Order and Spin-Peierls Lattice Distortion in One-Dimensional Organic Conductors
• Phase diagram of the quarter-filled extended Hubbard model on a two-leg ladder
• Electric Conductivity of the Zero-gap Semiconducting State in Alpha-(BEDT-TTF)2I3 Salt
• Crossover from Quarter-Filling to Half-Filling in a One-Dimensional Electron System with a Dimerized and Quarter-Filled Band
• Dynamical properties of a strongly correlated model for quarter-filled layered organic molecular crystals
• Charge fluctuation induced superconducting state in two-dimensional quarter-filled electron systems
• Metal-insulator transition and charge ordering in the extended Hubbard model at one-quarter filling
• Charge order and superconductivity in a two-dimensional triangular lattice at n=2/3
• Correlation Effects in a One-Dimensional Quarter-Filled Electron System with Repulsive Interactions
• New possibility of the ground state of quarter-filled one-dimensional strongly correlated electronic system interacting with localized spins
• Effects of Next-Nearest-Neighbor Repulsion on One-Dimensional Quarter-Filled Electron Systems
• Origin of the Superconductivity in β'-(BEDT-TTF)_2ICl_2 under High Pressure and β-(BEDT-TTF)_2X at Ambient Pressure
• Charge-Order Pattern of the Low-Temperature Phase of NaV2O5 Uniquely Determined by Resonant X-Ray Scattering from Monoclinic Single Domain
• Ising transition in a one-dimensional quarter-filled electron system with dimerization
• Spin-Gap Phases in Tomonaga-Luttinger Liquids
• Renormalization-group approach to the metal-insulator transitions in (DCNQI)_2M (DCNQI is N,N'-dicyanoquinonediimine and M=Ag, Cu)
• Phase Diagram of the $t$--$U$--$V_1$--$V_2$ Model at Quarter Filling
• Anomalous behaviors of the charge and spin degrees of freedom in the CuO double chains of PrBa${}_2$Cu${}_4$O${}_8$
• Frustrated Spin System in theta-(BEDT-TTF)_2RbZn(SCN)_4
• Spin exchange and superconductivity in a $t-J^{\prime }-V$ model for two-dimensional quarter-filled systems
• Competition of Dimerization and Charge Ordering in the Spin-Peierls State of Organic Conductors
• Charge Ordered Insulator without Magnetic Order Studied by Correlator Projection Method
• Quarter-filled extended Hubbard model with alternating transfer integral: Two-dimensional Ising transition in the ground state
• Incommensurate Mott Insulator in One-Dimensional Electron Systems close to Quarter Filling
• Interplay between Structure and Electronic Properties in Organic Conductors
• Coexistent State of Charge Density Wave and Spin Density Wave in One-Dimensional Quarter Filled Band Systems under Magnetic Fields

Cited by in corpus (86)

• Electrodynamics of Correlated Electron Materials
• The transient localization scenario for charge transport in crystalline organic materials
• Quantum frustration in organic Mott insulators: from spin liquids to unconventional superconductors
• Anomalous dielectric response in the dimer Mott insulator $\kappa$-(BEDT-TTF)${}_2$Cu${}_2$(CN)${}_3$
• Strong electronic correlations in superconducting organic charge transfer salts
• Absence of charge order in the dimerized κ-phase BEDT-TTF salts
• Electrodynamic Response of the Charge Ordering Phase: Dielectric and Optical Studies of alpha-(BEDT-TTF)2I3
• Exact diagonalization study of Mott transition in the Hubbard model on an anisotropic triangular lattice
• Glassy dynamics in geometrically frustrated Coulomb liquids without disorder
• Pairing Symmetry Competition in Organic Superconductors
• Evidence for Lattice Effects at the Charge-Ordering Transition in (TMTTF)${}_2$X
• Extended Hubbard model: Charge Ordering and Wigner-Mott transition
• Sliding charge-density-wave in two-dimensional rare-earth tellurides
• Molecular Quantum Materials: Electronic Phases and Charge Dynamics in Two-Dimensional Organic Solids
• Power-law dependence of the optical conductivity observed in the quantum spin-liquid compound κ-(BEDT-TTF)2Cu2(CN)3
• Bandwidth tuning triggers interplay of charge order and superconductivity in two-dimensional organic materials
• Evidence for electronically-driven ferroelectricity in the family of strongly correlated dimerized BEDT-TTF molecular conductors
• Growth Dynamics of Photoinduced Domains in Two-Dimensional Charge-Ordered Conductors Depending on Stabilization Mechanisms
• One-dimensional extended Hubbard model in the atomic limit
• Towards the parameterisation of the Hubbard model for salts of BEDT-TTF: A density functional study of isolated molecules
• Photoinduced melting of charge order in a quarter-filled electron system coupled with different types of phonons
• Direct Observation of Mono-, Bi-, and Tri-layer Charge Density Waves in 1T-TaS_2 by Transmission Electron Microscopy without a Substrate
• Tuning the magnetic dimensionality by charge ordering in the molecular TMTTF salts
• Electronic properties of Fabre charge-transfer salts under various temperature and pressure conditions
• Charge, Lattice, and Spin Dynamics in Photoinduced Phase Transitions from Charge-Order-Insulator to Metal in Quasi-Two-Dimensional Organic Conductors
• Finite-Temperature Phase Diagram of Quasi-One-Dimensional Molecular Conductors: Quantum Monte Carlo Study
• Charge-order fluctuations and superconductivity in two-dimensional organic metals
• Collective Charge Excitation in a Dimer Mott Insulating System
• Non-local correlations in metals close to a charge order insulator transition
• Phase Competition and Superconductivity in $\kappa$-(BEDT-TTF)${}_2$X: Importance of Intermolecular Coulomb Interactions
• Charge ordering in θ-(BEDT-TTF)2RbZn(SCN)4: Cooperative effects of electron correlations and lattice distortions
• Temperature-driven transition from the Wigner Crystal to the Bond-Charge-Density Wave in the Quasi-One-Dimensional Quarter-Filled band
• Charge-Ordering Transition in (TMTTF)${}_2$X Explored via Dilatometry
• Metal-Insulator Transition in the Dimerized Organic Conductor $\kappa$-(BEDT-TTF)${}_2$Hg(SCN)${}_2$Br
• Charge-Ordered State versus Dimer-Mott Insulator at Finite Temperatures
• Geometrical frustration effects on charge-driven quantum phase transitions
• Emergent Heavy Fermion Behavior at the Wigner-Mott Transition
• Cooperative dynamics in charge-ordered state of alpha-(BEDT-TTF)2I3
• Spin and Charge Fluctuations and Lattice Effects on Charge Orders in α-(BEDT-TTF)_2I_3
• Correlation-driven electronic multiferroicity in (TMTTF)${}_2$-$X$ organic crystals
• Theoretical Aspects of Charge Correlations in $\theta$-(BEDT-TTF)${}_{2}X$
• Enhancement of Spin Susceptibility near Charge-Ordering Transition in a Two-Dimensional Extended Hubbard Model
• Ab initio derivation of multi-orbital extended Hubbard model for molecular crystals
• Unconventional metallic conduction in two-dimensional Hubbard-Wigner lattices
• Spin excitations in the quasi-two-dimensional charge-ordered insulator $\alpha$-(BEDT-TTF)${}_2$I${}_3$ probed via ${}^{13}$C NMR
• Double Exchange Ferromagnetism in the Peierls Insulator State
• Electronic States of Single-Component Molecular Conductors [M(tmdt)2]
• The effects of the next-nearest-neighbour density-density interaction in the atomic limit of the extended Hubbard model
• Optical Conductivity Measurement of a Dimer-Mott to Charge-Order Phase Transition in a Two-Dimensional Quarter-Filled Organic Salt Compound
• Photo-Induced Dynamics in Charge-Frustrated Systems
• Long-Period Charge Correlations in Charge-Frustrated Molecular theta-(BEDT-TTF)2X
• Enhancement of electron correlation due to the molecular dimerization in organic superconductors $\beta$-(BDA-TTP)${}_{2}X$ ($X$=I${}_3$, SbF${}_6$)
• Coulomb Frustrated Phase Separation in Quasi-Two-Dimensional Organic Conductors on the Verge of Charge Ordering
• Multi-Orbital Molecular Compound (TTM-TTP)I_3: Effective Model and Fragment Decomposition
• Fragment Model Study of Molecular Multi-Orbital System $X$[Pd(dmit)${}_2$]${}_2$
• Collective excitation of a short-range charge ordering in $\theta$-$\mbox{(BEDT-TTF)}_2\mbox{CsZn(SCN)}_4$
• Metal-insulator transition caused by the coupling to localized charge-frustrated systems under ice-rule local constraint
• Optical and spectral properties of quantum domain-walls in the generalized Wigner lattice
• Anomalous scaling law for thermoelectric transport of 2D-confined electrons in an organic molecular system
• Spiral charge frustration in molecular conductor (DI-DCNQI)2Ag
• Spectroscopic signature of trimer Mott insulator and charge disproportionation in BaIrO${}_3$
• Different orderings in the narrow-band limit of the extended Hubbard model on the Bethe lattice
• Mean-field Study of Charge, Spin, and Orbital Orderings in Triangular-lattice Compounds ANiO2 (A=Na, Li, Ag)
• Spin frustration, charge ordering, and enhanced antiferromagnetism in TMTTF${}_2$SbF${}_6$
• Phase competitions and coexistences in quasi-one-dimensional molecular conductors: exact diagonalization study
• Quantum Monte Carlo Study of the Quasi-One-Dimensional Superconductivity
• Magnetic Field Effect in One-Dimensional Charge Ordering Systems
• Charge fluctuations in the unconventional metallic state of Li0.9Mo6O17
• Photoexcitation of a polarization-inverted domain from the charge-ordered ferroelectric ground state of (TMTTF)${}_2$PF${}_6$
• Finite Temperature Properties of Geometrically Charge Frustrated Systems
• Charge Dynamics in a Correlated Fermion System on a Geometrically Frustrated Lattice
• Superlattice Induced by Charge Order in the Organic Spin Chain (TMTTF)${}_{2}X$ ($X=$ SbF${}_6$, AsF${}_6$ and PF${}_6$) Revealed by High Field EPR
• Fermi Surface Deformation near Charge-Ordering Transition
• Comment on "Tuning the Magnetic Dimensionality by Charge Ordering in the Molecular TMTTF Salts"
• Finite-Temperature Properties across the Charge Ordering Transition -- Combined Bosonization, Renormalization Group, and Numerical Methods
• Combined X-ray diffraction, electrical resistivity, and $ab$ $initio$ study of (TMTTF)${}_2$PF${}_6$ under pressure: implications to the unified phase diagram
• Ferrimagnetism Induced by Off-Site Coulomb Interaction in an Itinerant Electron System
• Nonlinear Conduction by Melting of Stripe-Type Charge Order in Organic Conductors with Triangular Lattices
• Similarities in electronic properties of organic charge-transfer solids and layered cobaltates
• Thermoelectric transport properties of the quasi-one-dimensional dimer-Mott insulator ${\beta }^{\prime }$-(BEDT-TTF)${}_2$ICl${}_2$
• Third-order Electrical Conductivity of the Charge-ordered Organic Salt $\alpha$-(BEDT-TTF)${}_2$I${}_3$
• Comparison of the charge-crystal and charge-glass state in geometrically frustrated organic conductors studied by fluctuation spectroscopy
• Stability of correlated insulating states in molecular conductors from first-principles calculation
• Incommensurate Antiferromagnetic Insulating State in (MDT-TS)(AuI${}_2$)${}_x$
• Finite-temperature phase transitions in quasi-one-dimensional molecular conductors
• The optical conductivity for a spin-Peierls ground state of (TMTTF)${}_2$PF${}_6$ with tetramer formation