Adaptive density matrix renormalization group for disordered systems
ARTIGO
Inglês
Agradecimentos: The authors thank D. Eloy, F. B. Ramos, and A. L. Malvezzi for providing data for comparison, and V. L. Quito and A. Sandvik for useful discussions. This research was supported by the Brazilian agencies FAPEMIG, FAPESP and CNPq. J.A.H. also acknowledges the hospitality of the Aspen...
Agradecimentos: The authors thank D. Eloy, F. B. Ramos, and A. L. Malvezzi for providing data for comparison, and V. L. Quito and A. Sandvik for useful discussions. This research was supported by the Brazilian agencies FAPEMIG, FAPESP and CNPq. J.A.H. also acknowledges the hospitality of the Aspen Center for Physics and the financial support of NSF and Simons Foundation
Abstract: We propose a simple modification of the density matrix renormalization-group (DMRG) method in order to tackle strongly disordered quantum spin chains. Our proposal, akin to the idea of the adaptive time-dependent DMRG, enables us to reach larger system sizes in the strong disorder limit by...
Abstract: We propose a simple modification of the density matrix renormalization-group (DMRG) method in order to tackle strongly disordered quantum spin chains. Our proposal, akin to the idea of the adaptive time-dependent DMRG, enables us to reach larger system sizes in the strong disorder limit by avoiding most of the metastable configurations, which hinder the performance of the standard DMRG method. We benchmark our adaptive method by revisiting the random antiferromagnetic XXZ spin-1/2 chain for which we compute the random-singlet ground-state average spin-spin correlation functions and von Neumann entanglement entropy. We then apply our method to the bilinear-biquadratic random antiferromagnetic spin-1 chain tuned to the antiferromagnet and gapless highly symmetric SU(3) point. We find the new result that the mean correlation function decays algebraically with the same universal exponent phi = 2 as the spin-1/2 chain. We then perform numerical and analytical strong-disorder renormalization-group calculations, which confirm this finding and generalize it for any highly symmetric SU(N) random-singlet state
FUNDAÇÃO DE AMPARO À PESQUISA DO ESTADO DE MINAS GERAIS - FAPEMIG
FUNDAÇÃO DE AMPARO À PESQUISA DO ESTADO DE SÃO PAULO - FAPESP
CONSELHO NACIONAL DE DESENVOLVIMENTO CIENTÍFICO E TECNOLÓGICO - CNPQ
Fechado
Adaptive density matrix renormalization group for disordered systems
Adaptive density matrix renormalization group for disordered systems
Fontes
Physical review. B, Covering condensed matter and materials physics Vol. 98, n. 19 (Nov., 2018), n. art. 195115, p. 1-9 |