DMRG Study of Critical Behavior of the Spin-1/2 Alternating Heisenberg Chain

Abstract

We investigate the critical behavior of the S=1/2 alternating Heisenberg chain using the density matrix renormalization group (DMRG). The ground-state energy per spin and singlet-triplet energy gap are determined for a range of alternations. Our results for the approach of the ground-state energy to the uniform chain limit are well described by a power law with exponent p=1.45. The singlet-triplet gap is also well described by a power law, with a critical exponent of p=0.73, half of the ground-state energy exponent. The renormalization group predictions of power laws with logarithmic corrections can also accurately describe our data provided that a surprisingly large scale parameter is present in the logarithm.

arXiv comment6 pages, 4 eps-figures

References in corpus (8)

• DMRG Studies of the Spin-Half Heisenberg System with Dimerization and Frustration
• The density matrix renormalization group method. Application to the PPP model of a cyclic polyene chain
• The Density Matrix Renormalization Group Method and Large-Scale Nuclear Shell-Model Calculations
• Unified Quantum Mechanical Picture for Confined Spinons in Dimerized and Frustrated Spin S=1/2 Chains
• A New Approach to Large-Scale Nuclear Structure Calculations
• Field-induced gap in the spin-1/2 antiferromagnetic Heisenberg chain: A density matrix renormalization group study
• Dynamical Transition from Triplets to Spinon Excitations: A Series Expansion Study of the $J_1-J_2-\delta$ spin-half chain
• Excitation Spectra of Structurally Dimerized and Spin-Peierls Chains in a Magnetic Field

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