RENORMALIZATION-GROUP INVESTIGATION OF THE S = 1 RANDOM ANTIFERROMAGNETIC HEISENBERG CHAIN

2006/12/01 by Péter Lajkó · 1 citation
Mathematics · Physics and Astronomy · #Antiferromagnetism #Computer science #Decimation #Density matrix renormalization group #Mathematical physics #Mathematics #Physics #Physics of Superconductivity and Magnetism #Quantum many-body systems #Quantum mechanics #Renormalization #Renormalization group #Spin (aerodynamics) #Statistical physics #Theoretical and Computational Physics #Type (biology) #cond-mat.dis-nn #cond-mat.stat-mech

paper · pdf · doi:10.1142/s0129183106010169

published in International Journal of Modern Physics C 17(12), 1739-1753 (World Scientific) · 14 pages, 9 figures

openalex publication_date 2006/12/01 · arxiv created 2009/03/03 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We introduce variants of the Ma-Dasgupta renormalization-group (RG) approach for random quantum spin chains, in which the energy-scale is reduced by decimation built on either perturbative or non-perturbative principles. In one non-perturbative version of the method, we require the exact invariance of the lowest gaps, while in a second class of perturbative Ma-Dasgupta techniques, different decimation rules are utilized. For the S = 1 random antiferromagnetic Heisenberg chain, both type of methods provide the same type of disorder dependent phase diagram, which is in agreement with density-matrix renormalization-group calculations and previous studies.

Citations

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