Multiscaling in Ising quantum chains with random Hilhorst–van Leeuwen perturbations

2001/10/19 by L. Turban
Mathematics · Physics and Astronomy · #Quantum many-body systems #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.dis-nn #cond-mat.stat-mech

paper · pdf · doi:10.1016/s0378-4371(01)00490-3

published as Physica A303 (2002) 275 · 14 pages, 5 figures, LaTeX2e, epsf, elsart

arxiv created 2001/10/19 · openalex publication_date 2002/01/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We consider the influence on the surface critical behaviour of a quantum Ising chain of quenched random surface perturbations decaying as a power of the distance from the surface (random Hilhorst-van Leeuwen models). We study, analytically and numerically, the multiscaling behaviour of the surface magnetization and the surface energy density in the case of marginal perturbations.

Citations

• Extended surface disorder in the quantum Ising chain
• An introduction to lattice gauge theory and spin systems
• Two soluble models of an antiferromagnetic chain

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• Conformal profiles in the Hilhorst-van Leeuwen model
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