Bosonization and density-matrix renormalization group studies of Fulde-Ferrell-Larkin-Ovchinnikov phase and irrational magnetization plateaus in coupled chains
arXiv:cond-mat/0610397 · doi:10.1103/PhysRevB.75.245119
Abstract
We review the properties of two coupled fermionic chains, or ladders, under a magnetic field parallel to the lattice plane. Results are computed by complementary analytical (bosonization) and numerical (density-matrix renormalization group) methods which allows a systematic comparison. Limiting cases such as coupled bands and coupled chains regimes are discussed. We particularly focus on the evolution of the superconducting correlations under increasing field and on the presence of irrational magnetization plateaus. We found the existence of large doping-dependent magnetization plateaus in the weakly-interacting and strong-coupling limits and in the non-trivial case of isotropic couplings. We report on the existence of extended Fulde-Ferrell-Larkin-Ovchinnikov phases within the isotropic t-J and Hubbard models, deduced from the evolution of different observables under magnetic field. Emphasis is put on the variety of superconducting order parameters present at high magnetic field. We have also computed the evolution of the Luttinger exponent corresponding to the ungaped spin mode appearing at finite magnetization. In the coupled chain regime, the possibility of having polarized triplet pairing under high field is predicted by bosonization.
18 pages, 19 figures
References in corpus (43)
- The density-matrix renormalization group
- Surprises on the Way from 1D to 2D Quantum Magnets: the Novel Ladder Materials
- Magnetization plateaus in spin chains: ``Haldane gap'' for half-integer spins
- Inhomogeneous Superconductivity in Condensed Matter and QCD
- Experiments on Ladders Reveal a Complex Interplay between a Spin-Gapped Normal State and Superconductivity
- Weak Coupling Phase Diagram of the Two Chain Hubbard Model
- Density matrix renormalization group algorithms with a single center site
- Magnetization Plateaux in N-Leg Spin Ladders
- Phases of two coupled Luttinger liquids
- Exact SO(8) Symmetry in the Weakly-Interacting Two-Leg Ladder
- Non-perturbative approach to Luttinger's theorem in one dimension
- Friedel Oscillations and Charge Density Waves in Chains and Ladders
- Properties of lightly doped t-J two-leg ladders
- Magnetization Curves of Antiferromagnetic Heisenberg Spin-1/2 Ladders
- The Magnetic Spin Ladder (C_{5}H_{12}N)_{2}CuBr_{4}: High Field Magnetization and Scaling Near Quantum Criticality
- Inhomogeneous superconducting state in quasi-one-dimensional systems
- Evidence for a superfluid density in t--J ladders
- NMR study of the S=1/2 Heisenberg Ladder Cu2(C5H12N2)2Cl4 : Quantum phase transition and critical dynamics
- Spin Gap Fixed Points in the Double Chain Problem
- Magnetic properties of a new molecular-based spin-ladder system: (5IAP)2CuBr4*2H2O
- Identification of Nuclear Relaxation Processes in a Gapped Quantum Magnet: Proton NMR in the S=1/2 Heisenberg Ladder Cu2(C5H12N2)2Cl4
- Superconductivity of the spin ladder system: Are the superconducting pairing and the spin-gap formation of the same origin?
- Comparison of different ladder models
- Larkin-Ovchinnikov-Fulde-Ferrell state in quasi-one-dimensional superconductors
- Superconductivity in Pr2Ba4Cu7O15-delta with metallic double chains
- Revisiting the chain magnetism in Sr14Cu24O41: Experimental and numerical results
- Chiral Anomaly and Spin Gap in One-Dimensional Interacting Fermions
- Hole redistribution in Sr\_(14-x)Ca\_xCu\_24O\_41 (x = 0, 12) spin ladder compounds: ^63Cu and ^17O NMR study under pressure
- Evolution of the Spin Gap Upon Doping a 2-Leg Ladder
- Superconducting gap for a 2-leg t-J ladder
- Zeeman effect in superconducting two-leg ladders: irrational magnetization plateaus and exceeding the Pauli limit
- Once again about interchain hopping
- Resonant magnetic mode in superconducting 2-leg ladders
- Emergence of Irrationality: Magnetization Plateaux in Modulated Hubbard Chains
- Doping-dependent magnetization plateaux in p-merized Hubbard chains
- Generalization of the Luttinger Theorem for Fermionic Ladder Systems
- Doping Induced Magnetization Plateaus
- Superconducting fluctuations in the Luther-Emery liquid
- Field induced superconductivity with enhanced and tunable paramagnetic limit
- Magnetisation of hole-doped CuO2 spin chains in Sr14-xCaxCu24O41
- Hubbard ladders in a magnetic field
- The Gap Function Phi(k,w) for a Two-leg t-J Ladder and the Pairing Interaction
- Competition of disorder and interchain hopping in a two-chain Hubbard model
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- Diamagnetism of doped two-leg ladders and probing the nature of their commensurate phases
- Pair correlations of a spin-imbalanced Fermi gas on two-leg ladders
- Combined analytical and numerical approach to study magnetization plateaux in doped quasi-one-dimensional antiferromagnets
- NMR and NQR study of pressure-induced superconductivity and the origin of critical-temperature enhancement in the spin-ladder cuprate SrCaCuO
- Magnetization plateau as a result of the uniform and gradual electron doping in a coupled spin-electron double-tetrahedral chain
- Doping-dependent magnetization plateaus of a coupled spin-electron chain: exact results
- Pair density wave characterized by a hidden string order parameter
- Hole Properties On and Off Magnetization Plateaus in 2-d Antiferromagnets
- Two-leg fermionic Hubbard ladder system in the presence of state-dependent hopping
- Unconventional superfluidity in quasi-one-dimensional systems
- Magnetic field induced criticality in superconducting two-leg ladders