Gradient critical phenomena in the Ising quantum chain: surface behaviour

Details Gradient critical phenomena in the Ising quantum chain: surface behaviour Gradient critical phenomena in the Ising quantum chain: surface behaviour

2009-06-23

arxiv.org/abs/0906.4207v1

Journal of Statistical Mechanics: Theory and Experiment (2009) P08007

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1088/1742-5468/2009/08/P08007

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.

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