@article{Picco2006,
abstract = {The random-bond Ising model on the square lattice has several disordered critical points, depending on the probability distribution of the bonds. There are a finite-temperature multicritical point, called Nishimori point, and a zero-temperature fixed point, for both a binary distribution where the coupling constants take the values +/- J and a Gaussian disorder distribution. Inclusion of dilution in the +/- J distribution (J=0 for some bonds) gives rise to another zero-temperature fixed point which can be identified with percolation in the non-frustrated case (J {\textgreater}= 0). We study these fixed points using numerical (transfer matrix) methods. We determine the location, critical exponents, and central charge of the different fixed points and study the spin-spin correlation functions. Our main findings are the following: (1) We confirm that the Nishimori point is universal with respect to the type of disorder, i.e. we obtain the same central charge and critical exponents for the +/- J and Gaussian distributions of disorder. (2) The Nishimori point, the zero-temperature fixed point for the +/- J and Gaussian distributions of disorder, and the percolation point in the diluted case all belong to mutually distinct universality classes. (3) The paramagnetic phase is re-entrant below the Nishimori point, i.e. the zero-temperature fixed points are not located exactly below the Nishimori point, neither for the +/- J distribution, nor for the Gaussian distribution.},
archivePrefix = {arXiv},
arxivId = {cond-mat/0606312},
author = {Picco, Marco and Honecker, Andreas and Pujol, Pierre},
doi = {10.1088/1742-5468/2006/09/P09006},
eprint = {0606312},
file = {:Users/marco/Library/Application Support/Mendeley Desktop/Downloaded/Picco, Honecker, Pujol - 2006 - Strong disorder fixed points in the two-dimensional random-bond Ising model(2).pdf:pdf},
issn = {1742-5468},
journal = {Journal of Statistical Mechanics: Theory and Experiment},
keywords = {Classical phase transitions (theory),Conformal field theory (theory),Disordered systems (theory),Renormalization group},
month = {sep},
number = {09},
pages = {P09006--P09006},
primaryClass = {cond-mat},
title = {{Strong disorder fixed points in the two-dimensional random-bond Ising model}},
url = {http://arxiv.org/abs/cond-mat/0606312 http://stacks.iop.org/1742-5468/2006/i=09/a=P09006?key=crossref.42340f86308ee12f1b2817bbb64ceb04},
volume = {2006},
year = {2006}
}

{"_id":"TG4im9qP3XTpF5uv7","bibbaseid":"picco-honecker-pujol-strongdisorderfixedpointsinthetwodimensionalrandombondisingmodel-2006","downloads":1,"creationDate":"2018-02-07T15:42:47.681Z","title":"Strong disorder fixed points in the two-dimensional random-bond Ising model","author_short":["Picco, M.","Honecker, A.","Pujol, P."],"year":2006,"bibtype":"article","biburl":"www.lpthe.jussieu.fr/~picco/MPP.bib","bibdata":{"bibtype":"article","type":"article","abstract":"The random-bond Ising model on the square lattice has several disordered critical points, depending on the probability distribution of the bonds. There are a finite-temperature multicritical point, called Nishimori point, and a zero-temperature fixed point, for both a binary distribution where the coupling constants take the values +/- J and a Gaussian disorder distribution. Inclusion of dilution in the +/- J distribution (J=0 for some bonds) gives rise to another zero-temperature fixed point which can be identified with percolation in the non-frustrated case (J \\textgreater= 0). We study these fixed points using numerical (transfer matrix) methods. We determine the location, critical exponents, and central charge of the different fixed points and study the spin-spin correlation functions. Our main findings are the following: (1) We confirm that the Nishimori point is universal with respect to the type of disorder, i.e. we obtain the same central charge and critical exponents for the +/- J and Gaussian distributions of disorder. (2) The Nishimori point, the zero-temperature fixed point for the +/- J and Gaussian distributions of disorder, and the percolation point in the diluted case all belong to mutually distinct universality classes. (3) The paramagnetic phase is re-entrant below the Nishimori point, i.e. the zero-temperature fixed points are not located exactly below the Nishimori point, neither for the +/- J distribution, nor for the Gaussian distribution.","archiveprefix":"arXiv","arxivid":"cond-mat/0606312","author":[{"propositions":[],"lastnames":["Picco"],"firstnames":["Marco"],"suffixes":[]},{"propositions":[],"lastnames":["Honecker"],"firstnames":["Andreas"],"suffixes":[]},{"propositions":[],"lastnames":["Pujol"],"firstnames":["Pierre"],"suffixes":[]}],"doi":"10.1088/1742-5468/2006/09/P09006","eprint":"0606312","file":":Users/marco/Library/Application Support/Mendeley Desktop/Downloaded/Picco, Honecker, Pujol - 2006 - Strong disorder fixed points in the two-dimensional random-bond Ising model(2).pdf:pdf","issn":"1742-5468","journal":"Journal of Statistical Mechanics: Theory and Experiment","keywords":"Classical phase transitions (theory),Conformal field theory (theory),Disordered systems (theory),Renormalization group","month":"sep","number":"09","pages":"P09006–P09006","primaryclass":"cond-mat","title":"Strong disorder fixed points in the two-dimensional random-bond Ising model","url":"http://arxiv.org/abs/cond-mat/0606312 http://stacks.iop.org/1742-5468/2006/i=09/a=P09006?key=crossref.42340f86308ee12f1b2817bbb64ceb04","volume":"2006","year":"2006","bibtex":"@article{Picco2006,\nabstract = {The random-bond Ising model on the square lattice has several disordered critical points, depending on the probability distribution of the bonds. There are a finite-temperature multicritical point, called Nishimori point, and a zero-temperature fixed point, for both a binary distribution where the coupling constants take the values +/- J and a Gaussian disorder distribution. Inclusion of dilution in the +/- J distribution (J=0 for some bonds) gives rise to another zero-temperature fixed point which can be identified with percolation in the non-frustrated case (J {\\textgreater}= 0). We study these fixed points using numerical (transfer matrix) methods. We determine the location, critical exponents, and central charge of the different fixed points and study the spin-spin correlation functions. Our main findings are the following: (1) We confirm that the Nishimori point is universal with respect to the type of disorder, i.e. we obtain the same central charge and critical exponents for the +/- J and Gaussian distributions of disorder. (2) The Nishimori point, the zero-temperature fixed point for the +/- J and Gaussian distributions of disorder, and the percolation point in the diluted case all belong to mutually distinct universality classes. (3) The paramagnetic phase is re-entrant below the Nishimori point, i.e. the zero-temperature fixed points are not located exactly below the Nishimori point, neither for the +/- J distribution, nor for the Gaussian distribution.},\narchivePrefix = {arXiv},\narxivId = {cond-mat/0606312},\nauthor = {Picco, Marco and Honecker, Andreas and Pujol, Pierre},\ndoi = {10.1088/1742-5468/2006/09/P09006},\neprint = {0606312},\nfile = {:Users/marco/Library/Application Support/Mendeley Desktop/Downloaded/Picco, Honecker, Pujol - 2006 - Strong disorder fixed points in the two-dimensional random-bond Ising model(2).pdf:pdf},\nissn = {1742-5468},\njournal = {Journal of Statistical Mechanics: Theory and Experiment},\nkeywords = {Classical phase transitions (theory),Conformal field theory (theory),Disordered systems (theory),Renormalization group},\nmonth = {sep},\nnumber = {09},\npages = {P09006--P09006},\nprimaryClass = {cond-mat},\ntitle = {{Strong disorder fixed points in the two-dimensional random-bond Ising model}},\nurl = {http://arxiv.org/abs/cond-mat/0606312 http://stacks.iop.org/1742-5468/2006/i=09/a=P09006?key=crossref.42340f86308ee12f1b2817bbb64ceb04},\nvolume = {2006},\nyear = {2006}\n}\n","author_short":["Picco, M.","Honecker, A.","Pujol, P."],"key":"Picco2006","id":"Picco2006","bibbaseid":"picco-honecker-pujol-strongdisorderfixedpointsinthetwodimensionalrandombondisingmodel-2006","role":"author","urls":{"Paper":"http://arxiv.org/abs/cond-mat/0606312 http://stacks.iop.org/1742-5468/2006/i=09/a=P09006?key=crossref.42340f86308ee12f1b2817bbb64ceb04"},"keyword":["Classical phase transitions (theory)","Conformal field theory (theory)","Disordered systems (theory)","Renormalization group"],"metadata":{"authorlinks":{"picco, m":"https://www.lpthe.jussieu.fr/~picco/pub.html"}}},"search_terms":["strong","disorder","fixed","points","two","dimensional","random","bond","ising","model","picco","honecker","pujol"],"keywords":["classical phase transitions (theory)","conformal field theory (theory)","disordered systems (theory)","renormalization group"],"authorIDs":["5a7b1e77dbef4a8015000059","5de8035c9b61e8de010000b7","5dee16bd584fb4df01000176","5e1f2bf207379ade01000098","5e21b72a96aea7de010000bc","5e45745349667cde010001a4","5e554006ca58a8df01000163","5e66568b46e828de0100007e","9gedxtRTsdnXYhnrn","RF3GRvJWcPEqESFNZ","RaD4szsMQZWLzQ383","YzxySNRwE6xKMgSmj","g7KSAn43BPPpgBhzg","g9vsjkFHhZbHvQX5o","hxfMryqeovyEobPCx","iLC9hNhQ2RfLZJiqa"],"dataSources":["8TDx7kHuMzkB9rP5g","M2GXsKxREHJ7bkyek"]}