TY - JOUR
T1 - Localization transition on a Cayley tree via spectral statistics
AU - Sade, Miri
AU - Berkovits, Richard
PY - 2003/11/17
Y1 - 2003/11/17
N2 - The spectral statistics of a Cayley tree are numerically studied. The statistics are nonuniversal due to the high ratio of boundary sites. Once the boundary sites are connected to each other in a way that preserves the local structure of the tree, the universal statistics of the spectra is recovered. A clear localization transition is observed as function of on-site disorder strength, with a critical disorder Wc = 11.44±0.08 and critical index ν = 0.51±0.05. The value of ν fits nicely to its mean-field value, while the value of Wc is puzzling.
AB - The spectral statistics of a Cayley tree are numerically studied. The statistics are nonuniversal due to the high ratio of boundary sites. Once the boundary sites are connected to each other in a way that preserves the local structure of the tree, the universal statistics of the spectra is recovered. A clear localization transition is observed as function of on-site disorder strength, with a critical disorder Wc = 11.44±0.08 and critical index ν = 0.51±0.05. The value of ν fits nicely to its mean-field value, while the value of Wc is puzzling.
UR - http://www.scopus.com/inward/record.url?scp=0348223781&partnerID=8YFLogxK
U2 - 10.1103/PhysRevB.68.193102
DO - 10.1103/PhysRevB.68.193102
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AN - SCOPUS:0348223781
SN - 1098-0121
VL - 68
JO - Physical Review B - Condensed Matter and Materials Physics
JF - Physical Review B - Condensed Matter and Materials Physics
IS - 19
ER -