Logarithmic corrections from ferromagnetic impurity ending bonds of open antiferromagnetic host chains

Abstract

We analyze the logarithmic corrections due to ferromagnetic impurity ending bonds of open spin 1/2 antiferromagnetic chains, using the density matrix renormalization group technique. A universal finite size scaling $\sim \frac{1}{L\log L}$ for impurity contributions in the quasi-degenerate ground state energy is demonstrated for a zigzag spin 1/2 chain at the critical next nearest neighbor coupling and the standard Heisenberg spin 1/2 chain, in the long chain limit. Using an exact solution for the latter case it is argued that one can extract the impurity contributions to the entropy and specific heat from the scaling analysis. It is also shown that a pure spin 3/2 open Heisenberg chain belongs to the same universality class.

4 pages, 7 eps figures

References in corpus (8)

• Kondo Effect in a Luttinger Liquid: Exact Results from Conformal Field Theory
• Critical behavior of the S=3/2 antiferromagnetic Heisenberg chain
• Exact Results for a Kondo Problem in One Dimensional t-J Model
• Integrable versus Non-Integrable Spin Chain Impurity Models
• Logarithmic Corrections in Quantum Impurity Problems
• Finite-size scaling for the S=1/2 Heisenberg Antiferromagnetic Chain
• Edge Logarithmic Corrections probed by Impurity NMR
• Ghost spins and novel quantum critical behavior in a spin chain with local bond-deformation

Cited by in corpus (7)

• New Trends in Density Matrix Renormalization
• Topological effects at short antiferromagnetic Heisenberg chains
• Entanglement Entropy in an Antiferromagnetic Heisenberg Spin Chain with Boundary Impurities
• Logarithmic delocalization of end spins in the S=3/2 antiferromagnetic Heisenberg chain
• Low-energy properties and magnetization plateaus in a 2-leg mixed spin ladder
• Quantum Nonlinear Sigma Model for Arbitrary Spin Heisenberg Antiferromagnets
• Edge states and universality class of the critical two-box symmetric SU(3) chain