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.

15 pages, 17 figures

References in corpus (5)

• Broken time-reversal symmetry in strongly correlated ladder structures
• Bosonization and density-matrix renormalization group studies of Fulde-Ferrell-Larkin-Ovchinnikov phase and irrational magnetization plateaus in coupled chains
• Origin of charge density wave in the coupled spin ladders in Sr${}_{14-x}$Ca${}_x$Cu${}_{24}$O${}_{41}$
• Orbital currents and charge density waves in a generalized Hubbard ladder
• Doped two-leg ladder with ring exchange

Cited by in corpus (16)

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• Probing the Hall Voltage in Synthetic Quantum Systems
• Finite-temperature properties of interacting bosons on a two-leg flux ladder
• Topological Lifshitz Transitions, Orbital Currents, and Interactions in Low-dimensional Fermi Gases in Synthetic Gauge Fields
• Topological chiral currents in the Gross-Neveu model extension
• NMR and NQR study of pressure-induced superconductivity and the origin of critical-temperature enhancement in the spin-ladder cuprate Sr${}_2$Ca${}_{12}$Cu${}_{24}$O${}_{41}$
• Spin-gap spectroscopy in a bosonic flux ladder
• Pair Density Waves in coupled doped two-leg Ladders
• Localization, transport and edge states in a two-strand ladder network in an aperiodically staggered magnetic field
• Robust orbital diamagnetism of correlated Dirac fermions in chiral Ising universality class
• Insulating phases of electrons on a zigzag strip in the orbital magnetic field