Diamagnetism of doped two-leg ladders and probing the nature of their commensurate phases

Abstract

We study the magnetic orbital effect of a doped two-leg ladder in the presence of a magnetic field component perpendicular to the ladder plane. Combining both low-energy approach (bosonization) and numerical simulations (density-matrix renormalization group) on the strong coupling limit (t-J model), a rich phase diagram is established as a function of hole doping and magnetic flux. Above a critical flux, the spin gap is destroyed and a Luttinger liquid phase is stabilized. Above a second critical flux, a reentrance of the spin gap at high magnetic flux is found. Interestingly, the phase transitions are associated with a change of sign of the orbital susceptibility. Focusing on the small magnetic field regime, the spin-gapped superconducting phase is robust but immediately acquires algebraic transverse (i.e. along rungs) current correlations which are commensurate with the 4k_F density correlations. In addition, we have computed the zero-field orbital susceptibility for a large range of doping and interactions ratio J/t : we found strong anomalies at low J/t only in the vicinity of the commensurate fillings corresponding to delta = 1/4 and 1/2. Furthermore, the behavior of the orbital susceptibility reveals that the nature of these insulating phases is different: while for delta = 1/4 a 4k_F charge density wave is confirmed, the delta = 1/2 phase is shown to be a bond order wave.

arXiv comment15 pages, 17 figures

References in corpus (40)

• The density-matrix renormalization group
• Luttinger Liquid Behavior in Carbon Nanotubes
• Weak Coupling Phase Diagram of the Two Chain Hubbard Model
• Phases of two coupled Luttinger liquids
• Hole crystallization in the spin ladder of Sr14Cu24O41
• Friedel Oscillations and Charge Density Waves in Chains and Ladders
• Properties of lightly doped t-J two-leg ladders
• Meissner effect in a bosonic ladder
• The N-chain Hubbard Model in Weak Coupling
• Evidence for Luttinger liquid behavior in crossed metallic single-wall nanotubes
• Ferromagnetic transition and phase diagram of the one-dimensional Hubbard model with next-nearest-neighbor hopping
• Real Space Imaging of One-Dimensional Standing Waves: Direct Evidence for a Luttinger Liquid
• Sliding Density-Wave in Sr_{14}Cu_{24}O_{41} Ladder Compounds
• Evidence for a superfluid density in t--J ladders
• Absence of spin gap in the superconducting ladder compound Sr_2Ca_{12}Cu_{24}O_{41}
• Broken time-reversal symmetry in strongly correlated ladder structures
• Spinless Fermionic ladders in a magnetic field: Phase Diagram
• Suppression of the charge-density-wave state in Sr_14Cu_24O_41 by calcium doping
• Superconductivity from doping a spin liquid insulator: a simple one-dimensional example
• Superconductivity of the $S{r}_{2}C{a}_{12}C{u}_{24}{O}_{41}$ spin ladder system: Are the superconducting pairing and the spin-gap formation of the same origin?
• Crossover from Quarter-Filling to Half-Filling in a One-Dimensional Electron System with a Dimerized and Quarter-Filled Band
• Superconductivity and Charge Density Wave in a Quasi-One-Dimensional Spin Gap System
• Charge-density wave formation in Sr_{14}Cu_{24}O_{41}
• Quantum melting of the hole crystal in the spin ladder of Sr14-xCaxCu24O41
• Correlation Effects of Single-Wall Carbon Nanotubes in Weak Coupling
• Fractional charge excitations in fermionic ladders
• Evolution of the Spin Gap Upon Doping a 2-Leg Ladder
• Zeeman effect in superconducting two-leg ladders: irrational magnetization plateaus and exceeding the Pauli limit
• Rung-Rung Current Correlations on a 2-Leg t-J Ladder
• Anisotropic Charge Modulation in Ladder Planes of Sr_14-xCa_xCu_24O_41
• Resonant magnetic mode in superconducting 2-leg ladders
• Bosonization and density-matrix renormalization group studies of Fulde-Ferrell-Larkin-Ovchinnikov phase and irrational magnetization plateaus in coupled chains
• Generalization of the Luttinger Theorem for Fermionic Ladder Systems
• Origin of charge density wave in the coupled spin ladders in Sr${}_{14-x}$Ca${}_x$Cu${}_{24}$O${}_{41}$
• Doped two-leg ladder with ring exchange
• Orbital currents and charge density waves in a generalized Hubbard ladder
• Low-frequency current fluctuations in doped ladders
• Hubbard ladders in a magnetic field
• Charge density waves in Sr_14-xCa_xCu_24O_41: electron correlations vs. structural effects
• New results for the t-J model in ladders: Changes in the spin liquid state with applied magnetic field. Implications for the cuprates

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