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Dirac fast scramblers
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DOI：10.1103/PhysRevB.103.L081113.png)
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Abstract
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We introduce a family of Gross-Neveu-Yukawa models with a large number of fermion and boson flavors as higher dimensional generalizations of the Sachdev-Ye-Kitaev model. The models may be derived from local lattice couplings and give rise to Lorentz invariant critical solutions in 1 + 1 and 2 + 1 dimensions. These solutions imply anomalous dimensions of both bosons and fermions tuned by the number ratio of boson to fermion flavors. In 1 + 1 dimension the solution represents a stable critical phase, while in 2 + 1 dimension it governs a quantum phase transition. We compute the out of time order correlators in the 1 + 1 dimensional model, showing that it exhibits growth with the maximal Lyapunov exponent lambda(L) = 2 pi T in the low temperature limit.
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IF:
3.7
Papers:
15.4W
Citations:
41.0W
