• Corpus ID: 238582794

Approaching Thouless Energy and Griffiths Regime in Random Spin Systems By Singular Value Decomposition

@inproceedings{Rao2021ApproachingTE,
  title={Approaching Thouless Energy and Griffiths Regime in Random Spin Systems By Singular Value Decomposition},
  author={Wen-Jia Rao},
  year={2021}
}
We employ singular value decomposition to study the eigenvalue spectrums of random spin systems. It’s shown the singular values λk of the sample matrix in the ergodic phase contain two branches that both follow power-law behavior but with different power exponents α. By analyzing the singular vectors, it is verified the higher part of λk with k > kTh are universal that follows random matrix theory, where kTh estimates the Thouless energy. We further demonstrate that α corresponds only to the… 

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