Extended surface disorder in the quantum Ising chain

Details Extended surface disorder in the quantum Ising chain Extended surface disorder in the quantum Ising chain

1999-03-31

arxiv.org/abs/cond-mat/9903447v1

J. Phys. A, 32 (1999) 3907

Physics

Condensed Matter

Statistical Mechanics

15 pages, 10 figures, Plain TeX. J. Phys. A (accepted)

Scientific paper

10.1088/0305-4470/32/21/304

We consider random extended surface perturbations in the transverse field Ising model decaying as a power of the distance from the surface towards a pure bulk system. The decay may be linked either to the evolution of the couplings or to their probabilities. Using scaling arguments, we develop a relevance-irrelevance criterion for such perturbations. We study the probability distribution of the surface magnetization, its average and typical critical behaviour for marginal and relevant perturbations. According to analytical results, the surface magnetization follows a log-normal distribution and both the average and typical critical behaviours are characterized by power-law singularities with continuously varying exponents in the marginal case and essential singularities in the relevant case. For enhanced average local couplings, the transition becomes first order with a nonvanishing critical surface magnetization. This occurs above a positive threshold value of the perturbation amplitude in the marginal case.

Affiliated with

Also associated with

No associations

Rating

Extended surface disorder in the quantum Ising chain does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Extended surface disorder in the quantum Ising chain, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Extended surface disorder in the quantum Ising chain will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-486902