Wilson-like real-space renormalization group and low-energy effective spectrum of the XXZ chain in the critical regime

Abstract

We present a novel real-space renormalization group(RG) for the one-dimensional XXZ model in the critical regime, reconsidering the role of the cut-off parameter in Wilson's RG for the Kondo impurity problem. We then demonstrate the RG calculation for the XXZ chain with the free boundary. Comparing the hierarchical structure of the obtained low-energy spectrum with the Bethe ansatz result, we find that the proper scaling dimension is reproduced as a fixed point of the RG transformation.

4 pages, 6 figures, typos corrected, final version

References in corpus (3)

• Density-matrix spectra for integrable models
• Universal Asymptotic Eigenvalue Distribution of Density Matrices and the Corner Transfer Matrices in the Thermodynamic Limit
• Real-space renormalization group approach for the corner Hamiltonian

Cited by in corpus (7)

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• Corner Transfer Matrix Renormalization Group Method Applied to the Ising Model on the Hyperbolic Plane
• Hyperbolic Deformation on Quantum Lattice Hamiltonians
• Scale free property and edge state of Wilson's numerical renormalization group
• Sine-square deformation and supersymmetric quantum mechanics
• Hyperbolic Deformation Applied to S = 1 Spin Chains - Scaling Relation in Excitation Energy -
• Energy Scale Deformation on Regular Polyhedra