Random matrix theory and critical phenomena in quantum spin chains.

@article{Hutchinson2015RandomMT,
  title={Random matrix theory and critical phenomena in quantum spin chains.},
  author={James L Hutchinson and Jonathan P. Keating and Francesco Mezzadri},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2015},
  volume={92 3},
  pages={032106}
}
We compute critical properties of a general class of quantum spin chains which are quadratic in the Fermi operators and can be solved exactly under certain symmetry constraints related to the classical compact groups U(N),O(N), and Sp(2N). In particular we calculate critical exponents s,ν, and z, corresponding to the energy gap, correlation length, and… CONTINUE READING

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