Single-hole dynamics in dimerized and frustrated spin-chains

Abstract

We present a unified account for the coupled single-hole- and spin-dynamics in the spin-gap phase of dimerized and frustrated spin-chains and two-leg spin ladders. Based on the strong dimer-limit of a one-dimensional $t_{1}23$-$J_{1}23$-model a diagrammatic approach is presented which employs a mapping of the spin-Hamiltonian onto a pseudo-fermion bond-boson model. Results for the single-hole spectrum are detailed. A finite quasi-particle weight is observed and studied for a variety of system parameters. A comparison with existing exact diagonalization data is performed and good agreement is found.

10 pages, 12 figures

References in corpus (3)

• Experiments on Ladders Reveal a Complex Interplay between a Spin-Gapped Normal State and Superconductivity
• Optical absorption of spin ladders
• Studies of the t-J two-leg ladder via series expansions

Cited by in corpus (11)

• Bond operator mean field theory of the half filled Kondo lattice model
• Thermal drag in spin ladders coupled to phonons
• Fermi Surface Reconstruction by Dynamic Magnetic Fluctuations and Spin-Charge Separation Near an O(3) Quantum Critical Point
• Hole-Doping Effects on a Two-dimensional Kondo Insulator
• Hole Dispersions for Antiferromagnetic Spin-1/2 Two-Leg Ladders by Self-Similar Continuous Unitary Transformations
• Bond particle theory for the pseudogap phase of underdoped cuprates
• Carrier dynamics in doped bilayer iridates near magnetic quantum criticality
• Formation of clusters in the ground state of the $t-J$ model on a two leg ladder
• Hole Dynamics in the Orthogonal-Dimer Spin System
• Casimir effect mechanism of pairing between fermions in the vicinity of a magnetic quantum critical point
• Single-hole spectral functions in one-dimensional quantum magnets with different ground states