Mott transition in one dimension

Abstract

I review some of the results on the Mott transition in one dimensional systems. In particular I discuss the phase diagram and critical properties of both Mott transitions at fixed filling and upon doping, as well as the dc and ac conductivity. Application of these results to organic conductors is discussed.

Proceedings of the SCES96 conference (August 96), 6 pages, 6 figures, uses epsfig

References in corpus (2)

• One-Particle an Two-Particle Instability of Coupled Luttinger Liquids
• Charge gap in the one--dimensional dimerized Hubbard model at quarter-filling

Cited by in corpus (120)

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• Tricritical Behavior in the Extended Hubbard Chains
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• The quasi-periodic Bose-Hubbard model and localization in one-dimensional cold atomic gases
• Exact SO(8) Symmetry in the Weakly-Interacting Two-Leg Ladder
• Friedel Oscillations and Charge Density Waves in Chains and Ladders
• Meissner effect in a bosonic ladder
• Theoretical Aspects of Charge Ordering in Molecular Conductors
• Lieb-Schultz-Mattis, Luttinger, and 't Hooft -- anomaly matching in lattice systems
• Weakly coupled one-dimensional Mott insulators
• Deconfinement transition and Luttinger to Fermi Liquid crossover in quasi one-dimensional systems
• Optical conductivity of the half-filled Hubbard chain
• Quantum-Mechanical Position Operator and Localization in Extended Systems
• Metal-insulator transition in the one-dimensional SU(N) Hubbard model
• Correlated Fermions in a one-dimensional quasiperiodic potential
• THz-Frequency Modulation of the Hubbard U in an Organic Mott Insulator
• Tomonaga-Luttinger parameters for doped Mott insulators
• Precise extrapolation of the correlation function asymptotics in uniform tensor network states with application to the Bose-Hubbard and XXZ models
• Triplet superconductivity in quasi one-dimensional systems
• Single-Site Entanglement of Fermions at a Quantum Phase Transition
• The quantum sine-Gordon model with quantum circuits
• Pressure-induced deconfinement of the charge transport in the quasi-one-dimensional Mott insulator (TMTTF)_2AsF_6
• Interacting Bose gases in quasi-one dimensional optical lattices
• Chemical pressure and hidden one-dimensional behavior in rare earth tri-telluride charge density wave compounds
• Interacting fermions in self-similar potentials
• Mott Transition for Strongly-Interacting 1D Bosons in a Shallow Periodic Potential
• Lattice Twisting Operators and Vertex Operators in Sine-Gordon Theory in One Dimension
• Competition of random and periodic potentials in interacting fermionic systems and classical equivalents: the Mott Glass
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• Deconfinement in a 2D optical lattice of coupled 1D boson systems
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• Staggered orbital currents in the half-filled two-leg ladder
• Mott Insulator to high \tc Superconductor via Pressure: Resonating Valence Bond theory and prediction of new Systems
• Effects of Long Range Electronic Interactions on a One-dimensional Electron System
• Properties of CFTs dual to Charged BTZ black-hole
• Correlation Effects in a One-Dimensional Quarter-Filled Electron System with Repulsive Interactions
• Superconducting pairing and density-wave instabilities in quasi-one-dimensional conductors
• A possible new phase of commensurate insulators with disorder: the Mott Glass
• Electrodynamics of correlated electron matter
• Mott-Superfluid transition in bosonic ladders
• Deconfinement transition and dimensional crossover in the Bechgaard-Fabre salts: pressure- and temperature-dependent optical investigations
• Confinement of Interchain Hopping by Umklapp Scattering in Two-Coupled Chains
• Building a doped Mott system by holography
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• Finite-frequency optical absorption in 1D conductors and Mott-Hubbard insulators
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• Charge Freezing in Zig-zag Chain Cuprates PrBa2Cu4O8 Observed by Cu Nuclear Quadrupole Resonance
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• Ground-state phase diagram of the extended two-leg $t$-$J$ ladder
• Berry phases in superconducting transitions
• Weakly-coupled Hubbard chains at half-filling and Confinement
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• Ising transition in a one-dimensional quarter-filled electron system with dimerization
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• Exploring quantum phase slips in 1D bosonic systems
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• Memory-function approach to the normal-state optical properties of the Bechgaard salt (TMTSF)_2PF_6
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