Breakdown of the Bloch-wave behavior for a single hole in a gapped antiferromagnet

Abstract

Whether a doped hole propagates as a Bloch wave or not is an important issue of doped Mott physics. Here we examine this problem based on the quasiparticle spectral weight $Z$ distribution, calculated by density matrix renormalization group (DMRG). By tuning the anisotropy of a two-leg $t$-$J$ ladder without closing the background spin gap, the $Z$ distribution unambiguously reveals a transition of the single hole state from a Bloch wave to a novel one with spontaneous translational symmetry breaking. We further establish a direct connection of such a transition with a nonlocal phase string entanglement between the hole and quantum spins, which explains numerical observations.

5 pages, 4 figures

References in corpus (9)

• Broken time-reversal symmetry in strongly correlated ladder structures
• On the sign structure of doped Mott insulators
• One hole in the two-leg t-J ladder and adiabatic continuity to the non-interacting limit
• Pairing versus phase coherence of doped holes in distinct quantum spin backgrounds
• Charge modulation as fingerprints of phase-string triggered interference
• Exact sign structure of the $t$-$J$ chain and the single hole ground state
• Spin and charge modulations in a single hole doped Hubbard ladder -- verification with optical lattice experiments
• Variational wave function for an anisotropic single-hole-doped $t$-$J$ ladder
• Fractional charge and emergent mass hierarchy in diagonal two-leg t-J cylinders

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• Proposal for asymmetric photoemission and tunneling spectroscopies in quantum simulators of the triangular-lattice Fermi-Hubbard model
• The spectral function of Mott-insulating Hubbard ladders: From fractionalized excitations to coherent quasi-particles
• Sign structure of the $t$-$t^{\prime }$-$J$ model and its physical consequences
• Localization in a $t$-$J$ type ladder with translational symmetry
• Superconductivity in doped triangular Mott insulators: the roles of parent spin backgrounds and charge kinetic energy
• Phenomenological Single-Particle Green's Function for the Pseudogap and Superconducting Phases of High-T${}_c$ Cuprates
• Spin Texture in Doped Mott Insulators with Spin-Orbit Coupling
• Mottness, Phase String, and High-$T_c$ Superconductivity
• Continuous transition from a Landau quasiparticle to a neutral spinon
• Mean Field Study of Superconductivity in the Square Lattice $t$-$J$ Model with Three-Site Hopping