Meissner phase for a model of oriented flux lines
Journal of Physics A: General Physics, ISSN: 0305-4470, Vol: 28, Issue: 23, Page: 6483-6499
1995
- 3Citations
- 2Captures
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Article Description
We consider a model of oriented, non-intersecting flux lines on the lattice Z, where each flux line is assigned a Boltzmann factor omega per unit length and a fugacity y. We prove the existence of free energy, both for y>0 and for y=-1, and show that it is independent of y for y>0. Using upper and lower bounds in terms of exactly solvable models, we rigorously establish that, for all y>0, the model has a phase transition at omega =1/d. For omega <1/d, we prove that the free energy and all bulk correlation functions vanish, implying the exclusion of flux lines from the bulk. In this regime, we also show that the flux line density decays at least exponentially with distance from the boundary.
Bibliographic Details
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=21844510631&origin=inward; http://dx.doi.org/10.1088/0305-4470/28/23/006; https://iopscience.iop.org/article/10.1088/0305-4470/28/23/006; http://stacks.iop.org/0305-4470/28/i=23/a=006/pdf; https://dx.doi.org/10.1088/0305-4470/28/23/006; https://validate.perfdrive.com/9730847aceed30627ebd520e46ee70b2/?ssa=b3d3c8b8-bd31-4ea4-952f-7a3d3163229c&ssb=43162203668&ssc=https%3A%2F%2Fiopscience.iop.org%2Farticle%2F10.1088%2F0305-4470%2F28%2F23%2F006&ssi=486c6aab-cnvj-4ece-8458-f51806e325b8&ssk=botmanager_support@radware.com&ssm=855277780932265051025417766638063373&ssn=64819467d341469e1c8ce07e466a26abb8130900c3c4-8990-4f21-a5d268&sso=d9de5f8c-bc564dd29dea5955e6ba96d7ffc1c38d05235104122b6778&ssp=76726937481726583520172652953025176&ssq=54823485072481826051229239777428005857305&ssr=NTIuMy4yMTcuMjU0&sst=com.plumanalytics&ssu=&ssv=&ssw=&ssx=eyJ1em14IjoiN2Y5MDAwMGMxZDc2YmItMzk2MS00N2VjLTlkZGItNjdmYTVhZTY2ODdlMi0xNzI2NTI5MjM5NDUzMjE0ODQ3NjMtN2IxMDZkNDdhMmM5YWIzYjEwMjUxMSIsIl9fdXptZiI6IjdmNjAwMGQ3NjM0YTc2LTllNGQtNGMyYy1iMmEwLWZjMDM0YzJmMTUyOTE3MjY1MjkyMzk0NTMyMTQ4NDc2My03MDJmNzUyZDAxN2M0ZmQ1MTAyNTI5IiwicmQiOiJpb3Aub3JnIn0=
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