Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2011-03-17
Phys. Rev. B 84, 094203 (2011)
Physics
Condensed Matter
Statistical Mechanics
8 pages; references and figures added, last section expanded
Scientific paper
10.1103/PhysRevB.84.094203
We present a thorough numerical study of the Richardson model with quenched disorder (a fully-connected XX-model with longitudinal random fields). We study the onset of delocalization in typical states (many-body delocalization) and the delocalized phase which extends over the whole range of coupling strength in the thermodynamic limit. We find a relation between the inverse participation ratio, the Edwards-Anderson order parameter and the average Hamming distance between spin configurations covered by a typical eigenstate for which we conjecture a remarkably simple form for the thermodynamic limit. We also studied the random process defined by the spread of a typical eigenstate on configuration space, highlighting several similarities with hopping on percolated hypercube, a process used to mimic the slow relaxation of spin glasses.
Buccheri Francesco
de Luca Andrea
Scardicchio Antonello
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