Calculation of multifractal dimensions in spin chains
Y. Y. Atas, E. Bogomolny
TL;DR
This paper analytically derives and numerically confirms that ground-state wave functions of various 1D spin-1/2 models exhibit multifractal properties in the spin-z basis, enhancing understanding of quantum criticality.
Contribution
It provides detailed analytical derivations and numerical validation of the multifractal nature of ground states in spin chains, expanding prior findings.
Findings
Ground states are multifractals in the spin-z basis
Analytical derivations support numerical results
Multifractality observed across various models
Abstract
It was demonstrated in [Phys. Rev. E 86, 021104, (2012)], that the ground-state wave functions for a large variety of one-dimensional spin-1/2 models are multifractals in the natural spin-z basis. We present here the details of analytical derivations and numerical confirmations of these results.
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