Boundary logarithmic corrections to the dynamical correlation functions of one-dimensional spin-1/2 chains

Abstract

The asymptotic dynamical correlation functions in one-dimensional spin chains are described by power-laws. The corresponding exponents characterize different bulk and boundary critical behavior. We present novel results for the logarithmic contribution to the boundary correlations of an isotropic Heisenberg chain. The exponent of the logarithm, $\lambda =1$, is derived using a renormalization group technique. We confirm our analytical results by comparing with numerical quantum Monte Carlo data.

arXiv comment15 pages with 2 figures. Final published version. For more information see https://www.physik.uni-kl.de/eggert/papers/index.html

References in corpus (41)

• Quantum Monte Carlo with Directed Loops
• Microscopic observation of magnon bound states and their dynamics
• Susceptibility of the Spin 1/2 Heisenberg Antiferromagnetic Chain
• Spin transport in a tunable Heisenberg model realized with ultracold atoms
• Interacting one dimensional electron gas with open boundaries
• Numerical Evidence for Multiplicative Logarithmic Corrections from Marginal Operators
• Bond-order-wave phase and quantum phase transitions in the one-dimensional extended Hubbard model
• Probing real-space and time resolved correlation functions with many-body Ramsey interferometry
• Friedel oscillations for interacting fermions in one dimension
• Impurities in S=1/2 Heisenberg Antiferromagnetic Chains: Consequences for Neutron Scattering and Knight Shift
• Long-distance asymptotics of spin-spin correlation functions for the XXZ spin chain
• Exact Correlation Amplitude for the S=1/2 Heisenberg Antiferromagnetic Chain
• Boundary Effects on Spectral Properties of Interacting Electrons in One Dimension
• Properties of a Luttinger Liquid with Boundaries at Finite Temperature and Size
• Numerical renormalization group study of the correlation functions of the antiferromagnetic spin-$\frac{1}{2}$ Heisenberg chain
• Angle-resolved photoemission spectroscopy with quantum gas microscopes
• Surface free energy of the open XXZ spin-1/2 chain
• Nuclear relaxation in the spin-1/2 antiferromagnetic chain compound Sr_2CuO_3 --- comparison between theories and experiments
• Spin- and charge-density oscillations in spin chains and quantum wires
• Wigner crystal vs. Friedel oscillations in the 1D Hubbard model
• Neel order in doped quasi one-dimensional antiferromagnets
• Boundary susceptibility in the spin-1/2 chain: Curie like behavior without magnetic impurities
• Logarithmic Corrections in Quantum Impurity Problems
• NMR relaxation rates in spin-1/2 antiferromagnetic chains
• Thermodynamics of impurities in the anisotropic Heisenberg spin-1/2 chain
• Exact Friedel oscillations in the g=1/2 Luttinger liquid
• Boundary contributions to specific heat and susceptibility in the spin-1/2 XXZ chain
• Finite-size scaling for the S=1/2 Heisenberg Antiferromagnetic Chain
• Local Density of States for Individual Energy Levels in Finite Quantum Wires
• Edge Logarithmic Corrections probed by Impurity NMR
• Correlation Functions and Coulomb Blockade of Interacting Fermions at Finite Temperature and Size
• Dimer correlation amplitudes and dimer excitation gap in spin-1/2 XXZ and Heisenberg chains
• Surface free energy for systems with integrable boundary conditions
• Exact boundary free energy of the open XXZ chain with arbitrary boundary conditions
• 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
• The effect of different in-chain impurities on the magnetic properties of the spin chain compound SrCuO${}_2$ probed by NMR
• The dynamic structure factor in impurity-doped spin chains
• Effects of quantum impurity spins on the magnetic properties of zigzag and linear spin chains
• Exact asymptotic correlation functions of bilinear spin operators of the Heisenberg antiferromagnetic spin-$\frac{1}{2}$ chain