DC conductivities and Stokes flows in Dirac semimetals influenced by hidden sector

Rogatko, Marek

doi:10.1140/epjc/s10052-020-08487-6

Cited by 4 publications

(6 citation statements)

References 72 publications

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“…It is relevant in the holographic correspondence attitude, because the theory in question is a fully consistent quantum theory (string/M-theory) and this fact guarantees that any predicted phenomenon by the top-down theory will be physical. This point has been discussed in [43].…”

Section: Background Holographic Modelmentioning

confidence: 91%

“…To proceed further, let us recall that the Stokes equation on the black brane event horizon can be recast in the form as derived in Ref. [43]…”

Section: Variational Attitudementioning

confidence: 99%

“…In [43] the Navier-Stokes equations of the model with two U (1)-gauge fields were derived. The paper elaborates the black brane response to the electric fields and temperature gradient.…”

Section: Introductionmentioning

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: 91%

“…To proceed further, let us recall that the Stokes equation on the black brane event horizon can be recast in the form as derived in Ref. [43]…”

Section: Variational Attitudementioning

confidence: 99%

See 1 more Smart Citation

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

Rogatko

Wysokiński

2020

Phys. Rev. D

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“…In this section, we shall calculate the DC thermoelectric conductivities of the dual system, following "membrane paradigm" procedure proposed in [26] (for more details, see [9,[27][28][29][30]). We apply around the background a constant electric field E x and e x , associated with the gauge field A μ and B μ respectively, and a constant temperature gradient ζ = − ∇T T .…”

Section: Thermoelectric Transport Propertiesmentioning

confidence: 99%

“…The key point of the "membrane paradigm" method is to construct a radially conserved current connecting the horizon and the boundary [28,31,32]. This is equivalent to the dual-system current, which is in this model…”

Section: Thermoelectric Transport Propertiesmentioning

confidence: 99%

Investigation of transport properties of graphene Dirac fluid by holographic two-current axion coupling model

Liu,

Zhang

2024

Eur. Phys. J. C

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Recently, there has been great interest in the phenomenon of severe violation of the Wiedemann–Franz law in graphene Dirac fluids around 75 K, due to the strong coupling relativistic plasma near the neutral point, where traditional perturbation theory fails. To explain this phenomenon, this article proposes a holographic dual two-current axion coupling model, describing the interaction between electrons and holes in graphene near the charge neutrality point (CNP) and revealing the related physical mechanism. The study shows that the holographic two-current model aligns with experimental results at 100 $$\upmu $$ μ m$$^{-2}$$ - 2 , and correctly predicts conductivity as temperature increases. Additionally, the article explores the behavior of $$\beta +\gamma $$ β + γ and its impact on conductivity and thermal conductivity. The results suggest a frictional effect between electrons and holes. Consequently, this study provides us with a clearer understanding of the properties of graphene Dirac fluids and further confirms the reliability of the holographic duality method.

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Transport properties of a holographic model with novel gauge-axion coupling

Bai,

Wu,

Zhou

2023

Phys. Rev. D

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DC conductivities and Stokes flows in Dirac semimetals influenced by hidden sector

Cited by 4 publications

References 72 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

Investigation of transport properties of graphene Dirac fluid by holographic two-current axion coupling model

Transport properties of a holographic model with novel gauge-axion coupling

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