One hole in the two-leg t-J ladder and adiabatic continuity to the non-interacting limit

Abstract

We have carried out density-matrix-renormalization group (DMRG) calculations for the problem of one doped hole in a two-leg $t-J$ ladder. Recent studies have concluded that exotic "Mott" physics --- arising from the projection onto the space of no double-occupied sites --- is manifest in this model system, leading to charge localization and a new mechanism for charge modulation. In contrast, we show that there is no localization and that the charge density modulation arises when the minimum in the quasiparticle dispersion moves away from $\pi$. Although singular changes in the quasiparticle dispersion do occur as a function of model parameters, all the DMRG results can be qualitatively understood from a non-interacting "band-structure" perspective.

4 pages, 3 figures, plus another 4 pages of supplementary material, with 6 figures

References in corpus (5)

• Real time evolution using the density matrix renormalization group
• Minimally Entangled Typical Thermal State Algorithms
• Spectral Function for the S=1 Heisenberg Antiferromagetic Chain
• Charge modulation as fingerprints of phase-string triggered interference
• Dynamics of doublon-holon pairs in Hubbard two-leg ladders

Cited by in corpus (25)

• Spectral Functions with the Density Matrix Renormalization Group: Krylov-space Approach for Correction Vectors
• Pair Correlations in Doped Hubbard Ladders
• Doping the chiral spin liquid -- topological superconductor or chiral metal?
• Critical role of the sign structure in the doped Mott insulator: Superconductivity vs. Fermi liquid
• Theoretical study of the spin and charge dynamics of two-leg ladders as probed by resonant inelastic x-ray scattering
• Breakdown of the Bloch-wave behavior for a single hole in a gapped antiferromagnet
• Intrinsic translational symmetry breaking in a doped Mott insulator
• Matrix product state recursion methods for strongly correlated quantum systems
• Exact sign structure of the $t$-$J$ chain and the single hole ground state
• Electronic quasiparticles in the quantum dimer model: density matrix renormalization group results
• Localization in a $t$-$J$ type ladder with translational symmetry
• The spectral function of Mott-insulating Hubbard ladders: From fractionalized excitations to coherent quasi-particles
• From "Weak" to "Strong" Hole Confinement in a Mott Insulator
• Nature of a single doped hole in two-leg Hubbard and $t$-$J$ ladders
• Doping-driven Antiferromagnetic Insulator -- Superconductor Transition: a Quantum Monte Carlo Study
• Fractional charge and emergent mass hierarchy in diagonal two-leg t-J cylinders
• The t-t'-J model in one dimension using extremely correlated Fermi liquid theory and time dependent density matrix renormalization group
• Dual Spectroscopy of Quantum Simulated Fermi-Hubbard Systems
• The fate of pairing and spin-charge separation in the presence of long-range antiferromagnetism
• Thermally induced localization of dopants in a magnetic spin ladder
• Continuous transition from a Landau quasiparticle to a neutral spinon
• Lifshitz transition in the phase diagram of two-leg $t$-$J$ ladder systems at low filling
• Dopant pairing in a disordered magnetic spin ladder
• Localized dopant motion across the 2D Ising phase transition
• Beyond fragmented dopant dynamics in quantum spin lattices: Robust localization and non-Gaussian diffusion