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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Multifractality in aperiodic quantum spin chains

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Author(s):
Voliotis, Dimitrios
Total Authors: 1
Document type: Journal article
Source: Journal of Physics A-Mathematical and Theoretical; v. 52, n. 47 NOV 22 2019.
Web of Science Citations: 0
Abstract

Recently, it has been investigated that the ground-state wavefunction of the one dimensional quantum spin-1/2 chain models is multifractal in general with non-trivial fractal dimension. We are studying this phenomena for the quantum Ising chain with aperiodic perturbation. By performing a block real-space renormalization approach, we obtain the ground-state wave function and we extract the generalized multifractal dimension and the multifractal spectrum. For a spin chain with negative wandering exponent the multifractal quantities have the same behavior with the unperturbed chain while for a spin chain with a vanishing wandering exponent, are dependent on the coupling ratio. Finally, for a spin chain with a positive wandering exponent, the multifractal quantities present a different non-linear behavior. (AU)

FAPESP's process: 17/11484-0 - Dynamics of quantum quenched disordered spin chains
Grantee:Dimitrios Voliotis
Support type: Scholarships in Brazil - Post-Doctorate