We consider the influence of a power-law deviation from the critical coupling such that a 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.

Gradient critical phenomena in the Ising quantum chain: surface behaviour / Collura, Mario; Karevski, Dragi; Turban, Loïc. - In: JOURNAL OF STATISTICAL MECHANICS: THEORY AND EXPERIMENT. - ISSN 1742-5468. - 2009:Aug(2009), pp. 1-15. [10.1088/1742-5468/2009/08/P08007]

Gradient critical phenomena in the Ising quantum chain: surface behaviour

Collura, Mario;
2009

Abstract

We consider the influence of a power-law deviation from the critical coupling such that a 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.
2009
Aug
1
15
P08007
https://arxiv.org/abs/0906.4207
Collura, Mario; Karevski, Dragi; Turban, Loïc
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.11767/103444
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