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IOP Publishing, Journal of Statistical Mechanics: Theory and Experiment, 08(2009), p. P08007, 2009

DOI: 10.1088/1742-5468/2009/08/p08007

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Gradient critical phenomena in the Ising quantum chain: surface behaviour

Journal article published in 2009 by Mario Collura, Dragi Karevski, Loïc Turban ORCID
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This paper is available in a repository.

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Abstract

We consider the influence of a power-law deviation from the critical coupling such that the system is critical at its surface. We develop a scaling theory showing that such a perturbation introduces a new length scale which governs the scaling behaviour of the density profiles as well as the finite-size behaviour of the surface properties. Exact results are obtained for the Ising quantum chain when the perturbation varies linearly whereas the quadratic perturbation is mainly studied numerically. The scaling theory is well confirmed in both cases.