Density matrix renormalization on random graphs and the quantum spin-glass transition
arXiv:cond-mat/0610661 · doi:10.1088/1751-8113/40/40/003
Abstract
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.
8 pages, 5 figures. Version 2: substantial rewriting
References in corpus (17)
- The density-matrix renormalization group
- Entanglement in quantum critical phenomena
- Entropy and Area
- The Bethe lattice spin glass revisited
- Matrix product states represent ground states faithfully
- A class of ansatz wave functions for 1D spin systems and their relation to DMRG
- Entanglement entropy of random quantum critical points in one dimension
- Spin Gaps in a Frustrated Heisenberg model for CaVO
- Zero--Temperature Quantum Phase Transition of a Two--Dimensional Ising Spin--Glass
- Scaling of Entanglement Entropy in the Random Singlet Phase
- Griffiths Singularities in the Disordered Phase of a Quantum Ising Spin Glass
- Distributions of gaps and end-to-end correlations in random transverse-field Ising spin chains
- Glassy Spin Dynamics in Non-Fermi-Liquid UCu_{5-x}Pd_x, x = 1.0 and 1.5
- Circuits in random graphs: from local trees to global loops
- Partial spin freezing in the quasi-two-dimensional La2(Cu,Li)O4
- Slow spin-glass and fast spin-liquid components in quasi-two-dimensional La2(Cu,Li)O4
- Random quantum Ising chains with competing interactions