Localization in a $t$-$J$ type ladder with translational symmetry

Abstract

An explicit $\text{spatial}$ localization of a hole is shown in a two-leg $t$-$J$ ladder in the presence of a staggered chemical potential, which still retains a translational symmetry, by density matrix renormalization group method. Delocalization can be recovered in the following cases, where either the hidden phase string effect is turned off or a finite next-nearest-neighbor hopping $t^{\prime }$ is added to sufficiently weaken the phase string effect. In addition, two holes are always delocalized by forming a mobile bound pair, in contrast to the localized single holes, which points to a novel pairing mechanism as one of the essential properties of a doped Mott insulator.

arXiv comment4 pages, 5 figures

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• Mottness induced superfluid phase fluctuation with increased density
• Dual Spectroscopy of Quantum Simulated Fermi-Hubbard Systems
• Probing a Bose Metal via Electrons: Inescapable non-Fermi liquid scattering and pseudogap physics
• Thermally induced localization of dopants in a magnetic spin ladder
• Complex Phase Diagram of Doped XXZ Ladder: Localization and Pairing
• Mottness, Phase String, and High-$T_c$ Superconductivity
• Mean Field Study of Superconductivity in the Square Lattice $t$-$J$ Model with Three-Site Hopping
• Localized dopant motion across the 2D Ising phase transition
• Beyond fragmented dopant dynamics in quantum spin lattices: Robust localization and non-Gaussian diffusion