Electromagnetic response of interacting Weyl semimetals

Jacobs, V. P. J.; Betzios, Panagiotis; Gürsoy, Umut; Stoof, H. T. C.

doi:10.1103/physrevb.93.195104

Cited by 29 publications

(28 citation statements)

References 50 publications

(60 reference statements)

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“…Indeed, in the limit k F → 0, or ξ → ∞, we obtain the infrared divergence μ i (p) ∼ p −2 . Exactly the same behavior was recently found in a holographic calculation at the critical Dirac point [32].…”

Section: Transversal Vertex Corrections In Weyl Semimetalssupporting

confidence: 83%

Large anomalous magnetic moment in three-dimensional Dirac and Weyl semimetals

Wurff

Stoof

2016

Phys. Rev. B

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We investigate the effect of Coulomb interactions on the electromagnetic response of three-dimensional Dirac and Weyl semimetals. In a calculation reminiscent of Schwinger's seminal work on quantum electrodynamics, we find three physically distinct effects for the anomalous magnetic moment of the relativisticlike quasiparticles in the semimetal. In the case of nonzero doping, the anomalous magnetic moment is finite at long wavelengths and typically orders of magnitude larger than Schwinger's result. We also find interesting effects of one of the three new Hamiltonian terms on the topological surface states at the interface between vacuum and a Weyl semimetal. We conclude that observation of these effects should be within experimental reach.

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Section: Transversal Vertex Corrections In Weyl Semimetalssupporting

confidence: 83%

Large anomalous magnetic moment in three-dimensional Dirac and Weyl semimetals

Wurff

Stoof

2016

Phys. Rev. B

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“…We hope these results will find many interesting applications. Promising candidates include the analysis of inflationary correlators in holographic cosmology (see e.g., [17][18][19][20][21][22][23][24][25][26][27][28]) and extending studies of quantum critical transport [29][30][31][32][33][34] to cases where divergences arise. It may also be interesting to re-interpret recent bounds, such as those derived from conformal collider physics and the average null energy condition (see e.g., [45][46][47]), from our present momentum-space perspective.…”

Section: Discussionmentioning

confidence: 99%

“…Even elementary results such as the form of 3-point functions, known in position space for decades [1][2][3][4], have only recently been studied in momentum space [5][6][7][8][9][10][11][12][13][14][15][16]. With new applications in cosmology [17][18][19][20][21][22][23][24][25][26][27][28] and condensed matter [29][30][31][32][33][34] for which momentum space is ideally suited, now is the time to close this surprising gap. General results for 3-point functions, valid for generic values of the operator and spacetime dimensions, were presented in [10].…”

Section: Contentsmentioning

confidence: 99%

Renormalised CFT 3-point functions of scalars, currents and stress tensors

Bzowski

McFadden

Skenderis

2018

J. High Energ. Phys.

155

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We discuss the renormalisation of mixed 3-point functions involving tensorial and scalar operators in conformal field theories of general dimension. In previous work we analysed correlators of either purely scalar or purely tensorial operators, in each case finding new features and new complications: for scalar correlators, renormalisation leads to beta functions, novel conformal anomalies of type B, and unexpected analytic structure in momentum space; for correlators of stress tensors and/or conserved currents, beta functions vanish but anomalies of both type B and type A (associated with a 0/0 structure) are present. Mixed correlators combine all these features: beta functions and anomalies of type B, plus the possibility of new type A anomalies. Following a non-perturbative and general momentum-space analysis, we present explicit results in dimensions d = 3, 4 for all renormalised 3-point functions of stress tensors, conserved currents and scalars of dimensions ∆ = d and ∆ = d − 2. We identify all anomalies and beta functions, and explain the form of the anomalous conformal Ward identities. In d = 3, we find a 0/0 structure but the corresponding type A anomaly turns out to be trivial. In addition, the correlators of two currents and a scalar, and of two stress tensors and a scalar, both feature universal tensor structures that are independent of the scalar dimension and vanish for opposite helicities.

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“…In that regard, one should also mention a series of works aimed at connecting holography to the more conventional field theoretical analysis [262][263][264][265]. It seems, though, that the actual graphene and 3d Weyl/ Dirac metals alike can hardly provide a viable playground for the CMT holography, as the effects of interactions in these materials are either mild or even outright weak.…”

Section: Holographic Transport: Dirac/weyl Materialsmentioning

confidence: 99%

Demystifying the holographic mystique: A critical review

Khveshchenko¹

2016

Lith. J. Phys.

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Thus far, in spite of many interesting developments, the overall progress towards a systematic study and classification of various 'strange' metallic states of matter has been rather limited. To that end, it was argued that a recent proliferation of the ideas of holographic correspondence originating from string theory might offer a possible way out of the stalemate. However, after almost a decade of intensive studies into the proposed extensions of the holographic conjecture to a variety of condensed matter problems, the validity of this intriguing approach remains largely unknown. This discussion aims at ascertaining its true status and elucidating the conditions under which some of its predictions may indeed be right (albeit, possibly, for a wrong reason).Keywords: strongly correlated systems, holographic correspondence, transport theory, strange metals, analogue gravity PACS: 71.27.+a Condensed matter holography: the promiseAmong the outstanding grand problems in condensed matter physics is that of a deeper understanding and classification of the so-called 'strange metals' or compressible non-Fermi liquid (NFL) states of the strongly interacting systems. However, despite all the effort and a plethora of the important and nontrivial results obtained with the use of the traditional techniques, this program still remains far from completion.As an alternate approach, over the past decade there have been numerous attempts inspired by the hypothetical idea of holographic correspondence which originated from string/gravity/high energy theory (where it is known under the acronym AdS/ CFT) to adapt its main concepts to various condensed matter (or, even more generally, quantum manybody) systems at finite densities and temperatures [1][2][3][4][5][6][7].In its original context, the bona fide holographic principle postulates that certain d + 1-dimensional ('boundary') quantum field theories (e. g. the maximally supersymmetric SU(N) gauge theory) may allow for a dual description in terms of a string theory which, upon a proper compactification, amounts to a certain d + 2-dimensional ('bulk') supergravity. Moreover, in the strong coupling limit (characterized in terms of the t'Hooft coupling constant λ = g 2 N >> 1) and for a large rank N > > 1 of the gauge symmetry group, the bulk description can be further reduced down to a weakly fluctuating gravity model which can even be treated semiclassically at the lowest (0th) order of the underlying 1/N-expansion.In the practical applications of the holographic conjecture, the partition function of a strongly interacting boundary theory with the Lagrangian L(ϕ a ) would then be approximated by a saddle-point (classical) value of the bulk action described by the Lagrangian L(g μν ,…) which includes gravity and other fields dual to their boundary counterparts [1][2][3][4][5][6][7][8] (1) evaluated with the use of a fixed background metric ,while any quantum corrections would usually be neglected by invoking the small parameter 1/N.

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Electromagnetic response of interacting Weyl semimetals

Cited by 29 publications

References 50 publications

Large anomalous magnetic moment in three-dimensional Dirac and Weyl semimetals

Large anomalous magnetic moment in three-dimensional Dirac and Weyl semimetals

Renormalised CFT 3-point functions of scalars, currents and stress tensors

Demystifying the holographic mystique: A critical review

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