Density Profiles in Random Quantum Spin Chains

Abstract

We consider random transverse-field Ising spin chains and study the magnetization and the energy-density profiles by numerically exact calculations in rather large finite systems ($L\le 128$). Using different boundary conditions (free, fixed and mixed) the numerical data collapse to scaling functions, which are very accurately described by simple analytic expressions. The average magnetization profiles satisfy the Fisher-de Gennes scaling conjecture and the corresponding scaling functions are indistinguishable from those predicted by conformal invariance.

4 pages RevTeX, 4 eps-figures included

References in corpus (7)

• A Numerical Study of the Random Transverse-Field Ising Spin Chain
• Griffiths Singularities in the Disordered Phase of a Quantum Ising Spin Glass
• Quantum Griffiths Singularities in the Transverse-Field Ising Spin Glass
• Common trends in the critical behavior of the Ising and directed walk models
• Surface Magnetisation and Surface Correlations in Aperiodic Ising Models
• Marginal Anisotropy in Layered Aperiodic Ising Systems
• Off-Diagonal Density Profiles and Conformal Invariance

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