2018
DOI: 10.1007/jhep07(2018)049
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Conjecture on the butterfly velocity across a quantum phase transition

Abstract: We study an anisotropic holographic bottom-up model displaying a quantum phase transition (QPT) between a topologically trivial insulator and a non-trivial Weyl semimetal phase. We analyze the properties of quantum chaos in the quantum critical region. We do not find any universal property of the Butterfly velocity across the QPT. In particular it turns out to be either maximized or minimized at the quantum critical point depending on the direction of propagation. We observe that instead of the butterfly veloc… Show more

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Cited by 40 publications
(36 citation statements)
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References 44 publications
(76 reference statements)
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“…The Butterfly velocity therefore does not show a universal behavior across the phase transition. This motivates the authors of [72] to introduce a new quantity, the information screening length L = 1/µ. It is defined as follows.…”
Section: Butterfly Velocitymentioning
confidence: 99%
“…The Butterfly velocity therefore does not show a universal behavior across the phase transition. This motivates the authors of [72] to introduce a new quantity, the information screening length L = 1/µ. It is defined as follows.…”
Section: Butterfly Velocitymentioning
confidence: 99%
“…58) where the last term means the indefinite integral over M as (z) at z = z * .For xY Y case and ν > 1.67 we have an integrable singularity. For xY Y case and 1 < ν < 1.67 we have to perform renormalization:…”
mentioning
confidence: 94%
“…In particular, in [41] it was proposed to use the HEE as a probe of confinement. The HEE has been extensively studied and applied in the investigation of the phase transitions in various holographic QCD (HQCD) models [42][43][44][45][46][47][48][49][50][51][52][53][54][55][56][57][58][59].…”
mentioning
confidence: 99%
“…This bound was shown to be violated by anisotropy[40][41][42][43] and higher curvature corrections[37]. For…”
mentioning
confidence: 99%