The dynamic structure factor in impurity-doped spin chains

Abstract

The effects of impurities in spin-1/2 Heisenberg chains are recently experiencing a renewed interest due to experimental realizations in solid state systems and ultra-cold gases. The impurities effectively cut the chains into finite segments with a discrete spectrum and characteristic correlations, which have a distinct effect on the dynamic structure factor. Using bosonization and the numerical Density Matrix Renormalization Group we provide detailed quantitative predictions for the momentum and energy resolved structure factor in doped systems. Due to the impurities, spectral weight is shifted away from the antiferromagnetic wave-vector $k=\pi$ into regions which normally have no spectral weight in the thermodynamic limit. The effect can be quantitatively described in terms of scaling functions, which are derived from a recurrence relation based on bosonization.

arXiv commentsubmitted version, 12 pages, 2 figures, latest version and more information can be found at https://www.physik.uni-kl.de/eggert/papers/index.html

References in corpus (59)

• Effective quantum spin systems with ion traps
• Experimental realization of a long-range antiferromagnet in the Hubbard model with ultracold atoms
• One-Dimensional Quantum Liquids: Beyond the Luttinger Liquid Paradigm
• Quantum criticality and universal scaling of a quantum antiferromagnet
• Universal theory of nonlinear Luttinger liquids
• Matrix product simulations of non-equilibrium steady states of quantum spin chains
• Computation of dynamical correlation functions of Heisenberg chains in a field
• Revealing Hidden Antiferromagnetic Correlations in Doped Hubbard Chains via String Correlators
• Multispinon continua at zero and finite temperature in a near-ideal Heisenberg chain
• Reduction of ordered moment and Neel temperature of quasi one-dimensional antiferromagnets Sr2CuO3 and Ca2CuO3
• The dynamical spin structure factor for the anisotropic spin-1/2 Heisenberg chain
• Impurities in S=1/2 Heisenberg Antiferromagnetic Chains: Consequences for Neutron Scattering and Knight Shift
• Computation of dynamical correlation functions of Heisenberg chains: the gapless anisotropic regime
• Form factor approach to dynamical correlation functions in critical models
• Non-equilibrium spin transport in integrable spin chains: persistent currents and emergence of magnetic domains
• Exact edge singularities and dynamical correlations in spin-1/2 chains
• Long-distance asymptotics of spin-spin correlation functions for the XXZ spin chain
• Dynamical structure factor at small q for the XXZ spin-1/2 chain
• Boundary Effects on Spectral Properties of Interacting Electrons in One Dimension
• Nonuniversal spectral properties of the Luttinger model
• Properties of a Luttinger Liquid with Boundaries at Finite Temperature and Size
• Exact prefactors in static and dynamic correlation functions of 1D quantum integrable models: applications to the Calogero-Sutherland, Lieb-Liniger and XXZ models
• Angle-resolved photoemission spectroscopy with quantum gas microscopes
• Spin- and charge-density oscillations in spin chains and quantum wires
• Threshold singularities in the dynamic response of gapless integrable models
• Chain breaks and the susceptibility of Sr_2Cu_{1-x}Pd_xO_{3+δ} and other doped quasi one-dimensional antiferromagnets
• Longitudinal Magnetic Dynamics and Dimensional Crossover in the Quasi-One-Dimensional, Spin-1/2, Heisenberg Antiferromagnet KCuF3
• Neel order in doped quasi one-dimensional antiferromagnets
• How universal is the one-particle Green's function of a Luttinger liquid?
• Boundary susceptibility in the spin-1/2 chain: Curie like behavior without magnetic impurities
• Spin pseudogap in Ni-doped SrCuO2
• Low-temperature large-distance asymptotics of the transversal two-point functions of the XXZ chain
• Transverse spectral functions and Dzyaloshinskii-Moriya interactions in XXZ spin chains
• Logarithmic Corrections in Quantum Impurity Problems
• Universal cross-over behavior of a magnetic impurity and consequences for doping in spin-1/2 chains
• Thermodynamics of impurities in the anisotropic Heisenberg spin-1/2 chain
• Cross-dimensional phase transition from an array of 1D Luttinger liquids to a 3D Bose-Einstein condensate
• The open XXZ-chain: Bosonisation, Bethe ansatz and logarithmic corrections
• Exact Form-Factor Results for the Longitudinal Structure Factor of the Massless XXZ Model in Zero Field
• Impurity corrections to the thermodynamics in spin chains using a transfer-matrix DMRG method
• The spectral function of the Tomonaga-Luttinger model revisited: power laws and universality
• Tracking the effects of interactions on spinons in gapless Heisenberg chains
• Local Density of States for Individual Energy Levels in Finite Quantum Wires
• Low temperature dynamics of nonlinear Luttinger liquids
• Attractively bound pairs of atoms in the Bose-Hubbard model and antiferromagnetism
• Spin Gap in the Single Spin-1/2 Chain Cuprate Sr${}_{1.9}$Ca${}_{0.1}$CuO${}_3$
• Finite-size effects in the quasi-one-dimensional quantum magnets Sr${}_2$CuO${}_3$, Sr${}_2$Cu${}_{0.99}$M${}_{0.01}$O${}_3$ (M = Ni, Zn), and SrCuO${}_2$
• Excitation Spectra and Thermodynamic Response of Segmented Heisenberg Spin Chains
• NMR Response in quasi one-dimensional Spin-1/2 Antiferromagnets
• Recursive Method for the Density of States in One Dimension
• Low-energy local density of states of the 1D Hubbard model
• Lattice vs. continuum theory of the periodic Heisenberg chain
• Impurities in weakly coupled quantum spin chains Sr${}_2$CuO${}_3$ and SrCuO${}_2$
• The effect of different in-chain impurities on the magnetic properties of the spin chain compound SrCuO${}_2$ probed by NMR
• Spin pseudogap in the $S=\frac{1}{2}$ chain material Sr${}_2$CuO${}_3$ with impurities
• Effects of quantum impurity spins on the magnetic properties of zigzag and linear spin chains
• Suppression of the impurity-induced local magnetism by the opening of a spin pseudogap in Ni-doped Sr${}_2$CuO${}_3$
• Boundary versus bulk behavior of time-dependent correlation functions in one-dimensional quantum systems
• Magnetic ordering in the ultra-pure site-diluted spin chain materials SrCu${}_{1-x}$Ni${}_x$O${}_2$

Cited by in corpus (6)

• Non-equilibrium Floquet steady states of time-periodic driven Luttinger liquids
• Open XXZ chain and boundary modes at zero temperature
• LT-scaling in depleted quantum spin ladders
• Microscopic dynamics and an effective Landau-Zener transition in the quasi-adiabatic preparation of spatially ordered states of Rydberg excitations
• Spin-wave theory in a randomly disordered lattice: A Heisenberg ferromagnet
• Boundary logarithmic corrections to the dynamical correlation functions of one-dimensional spin-1/2 chains