Vacancy-induced spin texture in a one-dimensional S=1/2 Heisenberg antiferromagnet

Sanyal, Sambuddha ; Banerjee, Argha ; Damle, Kedar (2011) Vacancy-induced spin texture in a one-dimensional S=1/2 Heisenberg antiferromagnet Physical Review B: Condensed Matter and Materials Physics, 84 (23). Article ID 235129. ISSN 2469-9950

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We study the effect of a missing spin in a one-dimensional S=1/2 antiferromagnet with nearest-neighbor Heisenberg exchange J and six-spin coupling Q=4qJ using quantum Monte-Carlo (QMC) and bosonization techniques. For q<qc≈0.04, the system is in a quasilong range ordered power-law antiferromagnetic phase, which gives way to a valence-bond solid state that spontaneously breaks lattice translation symmetry for q>qc. We study the ground-state spin texture Φ(r)=⟨G↑|Sz(r)|G↑⟩ in the the Sztot=1/2 ground state |G↑⟩ of the system with a missing spin, focusing on the alternating part Nz(r). We find that our QMC results for Nz at q=qc take on the scaling form expected from bosonization considerations, but violate scaling for q<qc. Within the bosonization approach, such violations of scaling arise from the presence of a marginally irrelevant sine-Gordon interaction, whose effects we calculate using renormalization group (RG) improved perturbation theory. Our field-theoretical predictions are found to agree well with the QMC data for q<qc.

Item Type:Article
Source:Copyright of this article belongs to American Physical Society.
ID Code:103435
Deposited On:09 Mar 2018 11:30
Last Modified:09 Mar 2018 11:30

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