Holographic calculation of the magneto-transport coefficients in Dirac semimetals

Rogatko, Marek; Wysokiński, Karol I.

doi:10.1007/jhep01(2018)078

Cited by 13 publications

(17 citation statements)

References 66 publications

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“…Moreover, independently whether the coupling vanishes or not it is important to keep the tensor structure of the kinetic and transport coefficients [29,30]. The analogous studies of the magneto-transport coefficients of Dirac semimetals [31], being the three-dimensional analogues of graphene require similar treatment of the conductivity. In both cases, in order to define the other transport coefficients, like thermoelectric tensor or Hall angle, one needs to take the full tensorial character of the conductivity into consideration.…”

Section: Background Holographic Modelmentioning

confidence: 99%

“…The Hall angle was also influenced by the coupling constant. In the studied case the density dependence of the thermoelectric coefficient α ij and Seebeck coefficient S xx agree with experimental data.The generalizations of these researches were given in [31], where the holographic calculation of magneto transport coefficients in 3 + 1 dimensional system with Dirac-like spectrum were presented. The calculations envisage the influence of g and α on the coefficients.…”

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confidence: 99%

“…The generalizations of these researches were given in [31], where the holographic calculation of magneto transport coefficients in 3 + 1 dimensional system with Dirac-like spectrum were presented. The calculations envisage the influence of g and α on the coefficients.…”

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confidence: 99%

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Conductivity bound of the strongly interacting and disordered graphene from gauge/gravity duality

Rogatko

Wysokiński

2020

Phys. Rev. D

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The carriers in graphene tuned close to the Dirac point envisage signatures of the strongly interacting fluid and are subject to hydrodynamic description. The important question is whether strong disorder induces the metal -insulator transition in this two-dimensional material. The bound on the conductivity tensor found earlier within the single current description, implies that the system does not feature metal -insulator transition. The linear spectrum of the graphene imposes the phase -space constraints and calls for the two -current description of interacting electron and hole liquids. Based on the gauge/gravity correspondence, using the linear response of the black brane with broken translation symmetry in Einstein-Maxwell gravity with the auxiliary U (1)-gauge field, responsible for the second current, we have calculated the lower bound of the DC-conductivity in holographic model of graphene. The calculations show that the bound on the conductivity depends on the coupling between both U (1) fields and for a physically justified range of parameters it departs only weakly from the value found for a model with the single U (1) field. * Electronic address: marek.rogatko@poczta.umcs.lublin.pl, rogat@kft.umcs.lublin.pl † Electronic address: karol.wysokinski@poczta.umcs.pl 2 shown to facilitate high mobility transport at temperatures below 150K. The recent theoretical and experimental studies of hydrodynamic effect in graphene have been reviewed in [21,22].Even though the hydrodynamic flow is expected to be observed in a very clean system, the disorder seems to be an important factor which sometimes even facilitates the hydrodynamic behavior [23]. The signatures of the Stokes non-linear flow with the low Reynolds number [24] have been detected in graphene [25], as the appearance of vortices leading to the negative resistance of the material.At the Fermi level graphene exhibits a massless relativistic spectrum with Dirac cone. As was mentioned above, close to the charge neutrality point, it sustains a strongly interacting material, ideal system for studies by means of gauge/gravity duality methods. In this system, the thermoelectric transport coefficients have been found using the hydrodynamic approach [26][27][28], with a fairly good agreement with the experimental data.Recently, this attitude has been generalized to the model with two distinct U (1)-gauge currents, which is solved by the AdS/CFT analogy [29]. The model in question allowed the successful quantitative comparison between theory and experimental data. The paper [29] gives a number of arguments behind the introduction of two gauge fields and associated currents. One reason for the appearance of two currents in graphene is the charge imbalance between electrons and holes in the system with linear spectrum. It has been found that the two current model allows for a quantitatively correct description of the thermal conductance of graphene. The paper [30] presented the further generalization, taking into account the possible coupling between both currents....

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Section: Background Holographic Modelmentioning

confidence: 99%

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confidence: 99%

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Conductivity bound of the strongly interacting and disordered graphene from gauge/gravity duality

Rogatko

Wysokiński

2020

Phys. Rev. D

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“…The other mechanism leading to the negative magnetoresistivity was proposed in [31]- [32], by using two interacting U (1)-gauge fields.…”

Section: Introductionmentioning

confidence: 99%

Magnetotransport of Weyl semimetals with ℤ2 topological charge and chiral anomaly

Rogatko

Wysokiński

2019

J. High Energ. Phys.

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We calculate the magnetoconductivity of the Weyl semimetal with Z 2 topological charge and chiral anomaly utilizing the recently developed hydrodynamic theory. The system in question will be influenced by magnetic fields connected with ordinary Maxwell and the second U (1)-gauge field, which couples to the anomalous topological charge. The presence of chiral anomaly and Z 2 topological charge endow the system with new transport coefficients. We start with the linear perturbations of the hydrodynamic equations and calculate the magnetoconductivity of this system. The holographic approach in the probe limit is implemented to obtain the explicit dependence of the longitudinal magnetoconductivities on the magnetic fields.

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“…Burkov and Kim [12] addressed that in magnetotransport, the Z 2 topological order manifested as the spin Hall effect can lead to observable effects by narrowing the dependence of the positive magnetoconductivity on the angle between the current and the applied magnetic field, which provides a possible explanation for a recent experiment [13]. Besides, the influence of interplay between the Z 2 and chiral anomalies on magnetoconductivity has been studied in a relativistic hydrodynamics limit [19].…”

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Photon-Induced Weyl Half-Metal Phase and Spin Filter Effect from Topological Dirac Semimetals

Wang

Deng

et al. 2019

Phys. Rev. Lett.

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Recently discovered Dirac semimetals (DSMs) with two Dirac nodes, such as Na3Bi and Cd2As3, are regarded to carry the Z2 topological charge in addition to the chiral charge. Here, we study the Floquet phase transition of Z2 topological DSMs subjected to a beam of circularly polarized light. Due to the resulting interplay of the chiral and Z2 charges, the Weyl nodes are not only chiralitydependent but also spin-dependent, which constrains the behaviors in creation and annihilation of the Weyl nodes in pair. Interestingly, we find a novel phase: One spinband is in Weyl semimetal phase while the other spinband is in insulator phase, and we dub it Weyl half-metal (WHM) phase. We further study the spin-dependent transport in a Dirac-Weyl semimetal junction and find a spin filter effect as a fingerprint of existence of the WHM phase. The proposed spin filter effect, based on the WHM bulk band, is highly tunable in a broad parameter regime and robust against magnetic disorder, which is expected to overcome the shortcomings of the previously proposed spin filter based on the topological edge/surface states. Our results offer a unique opportunity to explore the potential applications of topological DSMs in spintronics.

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Holographic calculation of the magneto-transport coefficients in Dirac semimetals

Cited by 13 publications

References 66 publications

Conductivity bound of the strongly interacting and disordered graphene from gauge/gravity duality

Conductivity bound of the strongly interacting and disordered graphene from gauge/gravity duality

Magnetotransport of Weyl semimetals with ℤ2 topological charge and chiral anomaly

Photon-Induced Weyl Half-Metal Phase and Spin Filter Effect from Topological Dirac Semimetals

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