Viscosity of holographic fluid in the presence of dark matter sector

Rogatko, Marek; Wysokiński, Karol I.

doi:10.1007/jhep08(2016)124

Cited by 11 publications

(11 citation statements)

References 99 publications

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“…In both cases ones that the order is equal to one. We conclude with the remark about the non-universal value of the one of the viscosity tensor components to entropy density ratio, in the theory with spontaneously broken parity [45]. The two components in the (2 + 1)-dimensional model are called shear and Hall viscosities, respectively.…”

Section: Discussionmentioning

confidence: 89%

Viscosity bound for anisotropic superfluids with dark matter sector

Rogatko

Wysokiński

2017

Phys. Rev. D

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The shear viscosity to the entropy density ratio η/s of the anisotropic superfluid has been calculated by means of the gauge/gravity duality in the presence of the dark matter sector. The dark matter has been described by the Yang-Mills field analogous to the one describing visible matter sector and it is assumed to interact with the visible field with coupling constant α. Close to the superfluid transition temperature (Tc) the analytical solution has been given up to the leading order in a symmetry breaking parameter and the ratio of the gravitational constant and Yang-Mils coupling. The tensor element of ratio η/s remains unaffected by the dark matter for the viscosity tensor in the plane perpendicular to the symmetry breaking direction (here yz). The temperature dependence and the linear correction in (1 − α) in the plane containing this direction (here xy) was also revealed. The correction linearly vanishes for temperature tending to the critical one T → Tc.

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Section: Discussionmentioning

confidence: 89%

Viscosity bound for anisotropic superfluids with dark matter sector

Rogatko

Wysokiński

2017

Phys. Rev. D

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“…One of the directions, we have followed [80][81][82][83][84][85][86][87] was to analyze the effect of dark matter on the superconducting properties of materials in order to uncover possible effects which could be related to dark sector. The sharpness of the superconducting transition should be helpful to detect even small changes of e.g., transition temperature due to the presence of the dark matter.…”

Section: A Dark Matter Interpretationmentioning

confidence: 99%

Two interacting current model of holographic Dirac fluid in graphene

Rogatko

Wysokiński

2018

Phys. Rev. D

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The electrons in graphene for energies close to the Dirac point have been found to form strongly interacting fluid. Taking this fact into account we have extended previous work on the transport properties of graphene by taking into account possible interactions between the currents and adding the external magnetic field directed perpendicularly to the graphene sheet. The perpendicular magnetic field B severely modifies the transport parameters. In the present approach the quantization of the spectrum and formation of Landau levels is ignored. Gauge/gravity duality has been used in the probe limit. The dependence on the charge density of the Seebeck coefficient and thermo-electric parameters α ij nicely agree with recent experimental data for graphene. The holographic model allows for the interpretation of one of the fields representing the currents as resulting from the dark matter sector. For the studied geometry with electric field perpendicular to the thermal gradient the effect of dark sector has been found to modify the transport parameters but mostly in a quantitative way only. This makes difficult the detection of this elusive component of the Universe by studying transport properties of graphene. PACS numbers: 11.25.Tq, 04.50.-h, 98.80.Cq I. INTRODUCTIONThe crossroads between gravity theory and condensed matter physics have recently become an intense field of research with at least two-fold goal. On one side, the expectation of the condensed matter community is that the approach providing strong coupling analysis of problems will shed some light on those aspects being difficult to access by other means [1,2]. On the other hand, such studies can shed the light on the question whether the holographic approach is able to describe real phenomena observed in experiments.The exploit of the gauge/gravity correspondence [3][4][5] in studying strongly correlated systems resulted, among others, in establishing the lower bound /4π on the ratio of the shear viscosity η s to entropy density s in holographic fluid [6]. This interesting result has contributed to the deeper understanding of the state of strongly interacting quark-gluon plasma obtained at RHIC [7]- [9]. Related studies based on the gauge/gravity duality [10,11] have also triggered the shear viscosity measurements in the ultra-cold Fermi gases [12], and more recently in the condensed matter systems such as graphene [13,14] and strongly correlated oxide [15]. The comprehensive discussion of this novel set of experiments is given in [16].Recently, a great resurgence of the interests in holographic lattice studies of the thermoelectric DC transport has been observed. Breaking of the translation invariance provides the mechanism of momentum dissipation in the underlying field theory and disposes to the finite values of holographic DC kinetic coefficients including thermoelectric matrix elements.The number of results have already been obtained by this technique for a similar model of dissipation and valid in principle for arbitrary value of temperature and the ...

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“…In order to understand dark matter from properties of holographic systems, new holographic metal/superconductor transition models were constructed in the background of this dark matter gravity, for references see [41,42]. The interesting topics of effects of dark matter on holographic vortices and holographic fluid viscosity were also carried out in [43,44]. Since the holographic superconductor provides a lot of qualitative characteristic properties shared by real superconductor, it is believed that holographic superconductor theory may be applied to superconductor in the laboratory.…”

Section: Introductionmentioning

confidence: 99%

A general holographic insulator/superconductor model with dark matter sector away from the probe limit

2017

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We investigate holographic phase transitions with dark matter sector in the AdS soliton background away from the probe limit. In cases of weak backreaction, we find that the larger coupling parameter α makes the gap of condensation shallower and the critical chemical potential keeps as a constant. In contrast, for very heavy backreaction, the dark matter sector could affect the critical chemical potential and the order of phase transitions. We also find the jump of the holographic topological entanglement entropy corresponds to a first order transition between superconducting states in this model with dark matter sector. More importantly, for certain sets of parameters, we observe novel phenomenon of retrograde condensation. In a word, the dark matter sector provides richer physics in the phase structure and the holographic superconductor properties are helpful in understanding dark matter.

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Viscosity of holographic fluid in the presence of dark matter sector

Cited by 11 publications

References 99 publications

Viscosity bound for anisotropic superfluids with dark matter sector

Viscosity bound for anisotropic superfluids with dark matter sector

Two interacting current model of holographic Dirac fluid in graphene

A general holographic insulator/superconductor model with dark matter sector away from the probe limit

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