Numerical evidence for marginal scaling at the integer quantum Hall transition

@article{Dresselhaus2021NumericalEF,
  title={Numerical evidence for marginal scaling at the integer quantum Hall transition},
  author={Elizabeth J. Dresselhaus and Bjorn Sbierski and Ilya A. Gruzberg},
  journal={Annals of Physics},
  year={2021}
}

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References

SHOWING 1-5 OF 5 REFERENCES