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- W3196353940 abstract "We employ the power-law random banded matrix (PRBM) ensemble with single tuning parameter $$mu $$ as the effective model for many-body localization (MBL) transition in random spin systems. We show the PRBM accurately reproduces the eigenvalue statistics on the entire phase diagram through the fittings of high-order spacing ratio distributions $$P(r^{(n)})$$ as well as number variance $$Sigma ^{2}(l)$$ , in systems both with and without time-reversal symmetry. For the properties of eigenvectors, it’s shown the entanglement entropy of PRBM displays an evolution from volume-law to area-law behavior which signatures an ergodic–MBL transition, and the critical exponent is found to be $$nu =0.83pm 0.15$$ , close to the value obtained in 1D physical model by exact diagonalization, while the computational cost here is much less." @default.
- W3196353940 created "2021-09-13" @default.
- W3196353940 creator A5040797945 @default.
- W3196353940 date "2022-03-29" @default.
- W3196353940 modified "2023-10-16" @default.
- W3196353940 title "Power-law random banded matrix ensemble as the effective model for many-body localization transition" @default.
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- W3196353940 doi "https://doi.org/10.1140/epjp/s13360-022-02621-x" @default.
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