Conjecture on the butterfly velocity across a quantum phase transition

• DOI: 10.1007/jhep07(2018)049
• Publication Date: 2018-07-10T07:00:31Z
• Authors: Matteo Baggioli; Bikash Padhi; Philip W. Phillips; Chandan Setty
• Keywords: Quantum phases; Dimensionless quantity

A bstract We study an anisotropic holographic bottom-up model displaying a quantum phase transition (QPT) between topologically trivial insulator and non-trivial Weyl semimetal phase. analyze the properties of chaos in critical region. do not find any universal property Butterfly velocity across QPT. In particular it turns out to be either maximized or minimized at point depending on direction propagation. observe that instead butterfly velocity, is dimensionless information screening length always point. argue null-energy condition (NEC) underlying reason for upper bound, which now just simple combination number spatial dimensions scaling parameter.