A smeared quantum phase transition in disordered holography

Ammon, Martin; Baggioli, Matteo; Jiménez-Alba, Amadeo; Moeckel, Sebastian

doi:10.1007/jhep04(2018)068

Cited by 27 publications

(26 citation statements)

References 96 publications

(142 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It is therefore not only interesting but also mandatory to study the effects of disorder even in semi-realistic models. In the case of the holographic Weyl semimetal this has been initiated in [67]. The authors studied the effect of disorder in form of random Gaussian noise in the boundary value of the axial gauge field…”

Section: Disordermentioning

confidence: 99%

Holographic topological semimetals

Landsteiner

Liu

Sun

2020

Sci. China Phys. Mech. Astron.

View full text Add to dashboard Cite

The holographic duality allows to construct and study models of strongly coupled quantum matter via dual gravitational theories. In general such models are characterized by the absence of quasiparticles, hydrodynamic behavior and Planckian dissipation times. One particular interesting class of quantum materials are ungapped topological semimetals which have many interesting properties from Hall transport to topologically protected edge states. We review the application of the holographic duality to this type of quantum matter including the construction of holographic Weyl semimetals, nodal line semimetals, quantum phase transition to trivial states (ungapped and gapped), the holographic dual of Fermi arcs and how new unexpected transport properties, such as Hall viscosities arise. The holographic models promise to lead to new insights into the properties of this type of quantum matter.

show abstract

Section: Disordermentioning

confidence: 99%

Holographic topological semimetals

Landsteiner

Liu

Sun

2020

Sci. China Phys. Mech. Astron.

View full text Add to dashboard Cite

show abstract

“…From the mass deformation in Eq. (2.1) and the above relation, it is clear that one needs to choose m 2 = −3 (see [19] for different choices of m 2 and [25,26] for further studies of the model), such that the dual operator has conformal dimension ∆ = 3. Note that this imaginary mass is perfectly allowed within AdS/CFT since it is with in the Breitenlohner-Freedman (BF) bound, m 2 ≥ −d 2 /4.…”

Section: Holographic Weyl Semimetalmentioning

confidence: 99%

Conjecture on the butterfly velocity across a quantum phase transition

Baggioli

Padhi

Phillips

et al. 2018

J. High Energ. Phys.

Self Cite

View full text Add to dashboard Cite

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 velocity, it is the dimensionless information screening length that is always maximized at a quantum critical point. We argue that the null-energy condition (NEC) is the underlying reason for the upper bound, which now is just a simple combination of the number of spatial dimensions and the anisotropic scaling parameter.

show abstract

“…The evidence that the holographic Weyl and nodal line semimetals are topological semimetals includes the anomalous Hall conductivity for Weyl semimetals [3], the induced effect of surface state [8], as well as the nodal loop from the dual fermion spectral functions [4]. Based on the holographic models of semimetals, many interesting observations have been made, including a prediction of nontrivial Hall viscosity in the quantum critical region due to the presence of the mixed gauge gravitational anomaly [9], the axial anomalous Hall effect [10], the behavior of AC conductivity [11], the disorder effect on the topological phase transition [12], and the properties of quantum chaos in the quantum critical region [13]. 3 Moreover it has been shown that there is a universal bulk topological structure for both holographic topological semimetals [4], where the near horizon behavior of the solutions determines that small perturbations could not gap the semimetal phases.…”

Section: Introductionmentioning

confidence: 99%

Topological invariants for holographic semimetals

Liu

Sun

2018

J. High Energ. Phys.

View full text Add to dashboard Cite

We study the behavior of fermion spectral functions for the holographic topological Weyl and nodal line semimetals. We calculate the topological invariants from the Green functions of both holographic semimetals using the topological Hamiltonian method, which calculates topological invariants of strongly interacting systems from an effective Hamiltonian system with the same topological structure. Nontrivial topological invariants for both systems have been obtained and the presence of nontrivial topological invariants further supports the topological nature of the holographic semimetals. 1

show abstract

A smeared quantum phase transition in disordered holography

Cited by 27 publications

References 96 publications

Holographic topological semimetals

Holographic topological semimetals

Conjecture on the butterfly velocity across a quantum phase transition

Topological invariants for holographic semimetals

Contact Info

Product

Resources

About