Density matrix renormalization on random graphs and the quantum spin-glass transition

Details Density matrix renormalization on random graphs and the quantum spin-glass transition Density matrix renormalization on random graphs and the quantum spin-glass transition

2006-10-24

arxiv.org/abs/cond-mat/0610661v2

Physics

Condensed Matter

Disordered Systems and Neural Networks

8 pages, 5 figures. Version 2: substantial rewriting

Scientific paper

10.1088/1751-8113/40/40/003

The density matrix renormalization group (DMRG) has been extended to study quantum phase transitions on random graphs of fixed connectivity. As a relevant example, we have analysed the random Ising model in a transverse field. If the couplings are random, the number of retained states remains reasonably low even for large sizes. The resulting quantum spin-glass transition has been traced down for a few disorder realizations, through the careful measurement of selected observables: spatial correlations, entanglement entropy, energy gap and spin-glass susceptibility, among others.

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