Nonrelativistic limits of colored gravity in three dimensions

Joung, Euihun; Li, Wenliang

doi:10.1103/physrevd.97.105020

Cited by 12 publications

(23 citation statements)

References 38 publications

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“…Thus, our synthesised RGO-ZnS system may be considereda s ah eterogeneous mixture of high conducting sp 2 functionalised RGO sheets and insulating sp 3 functionalised GO sheets. [15,16] The well separated sp 2 graphene domains are illustrated in Figure2Afor which the void white regions are the insulating sp 3 domains (left). Thes ize of sp 2 graphene domains increases owing to the photocatalytic reduction of GO by ZnS,w hich effectively decreases the separation among the sp 2 domains (right).…”

Section: Resultsmentioning

confidence: 99%

“…The low-temperature transport in RGO is dominated by coulomb blockade and variable-range hopping conduction mechanism and also by the sp 2 fractions present in the RGO matrix. [15,16] Park et al observed the ES variable-range hopping electrical conduction mechanism in RGO-polystyrene composites. [17] Althought here are few reports on electronic conduction mechanism in RGO based systems, all the studies are confined to DC electricalm easurements.…”

Section: Introductionmentioning

confidence: 99%

“…[17] Althought here are few reports on electronic conduction mechanism in RGO based systems, all the studies are confined to DC electricalm easurements. [15][16][17] Primarily,D Cc onductivity gives macroscopic values because it is estimated on the transfer of charge species all over the sample controlled by the potential We report, herein,t he resultso fa ni nd epth study and concomitanta nalysis of the AC conduction [s'(w): f = 20 Hz to 2MHz] mechanism in ar educed graphene oxide-zinc sulfide (RGO-ZnS) composite. The magnitude of the real parto ft he complex impedanced ecreases with increase in both frequency and temperature, whereas the imaginary part shows an asymptotic maximum that shifts to higherf requencies with increasing temperature.…”

Section: Introductionmentioning

confidence: 99%

“…[18][19][20][21] The charge transport properties of RGO-based composites are directly related to the ratio of order-disorder domains present in RGO. [16] Thus, studies on the dielectric relaxation and AC conductivity of these materials allows us to reach am ore significant conclusion regarding the charge transport mechanism.…”

Section: Introductionmentioning

confidence: 99%

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AC Conduction and Time–Temperature Superposition Scaling in a Reduced Graphene Oxide–Zinc Sulfide Nanocomposite

et al. 2016

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We report, herein, the results of an in depth study and concomitant analysis of the AC conduction [σ'(ω): f=20 Hz to 2 MHz] mechanism in a reduced graphene oxide-zinc sulfide (RGO-ZnS) composite. The magnitude of the real part of the complex impedance decreases with increase in both frequency and temperature, whereas the imaginary part shows an asymptotic maximum that shifts to higher frequencies with increasing temperature. On the other hand, the conductivity isotherm reveals a frequency-independent conductivity at lower frequencies subsequent to a dispersive conductivity at higher frequencies, which follows a power law [σ'(ω)∝ω(s) ] within a temperature range of 297 to 393 K. Temperature-independent frequency exponent 's' indicates the occurrence of phonon-assisted simple quantum tunnelling of electrons between the defects present in RGO. Finally, this sample follows the "time-temperature superposition principle", as confirmed from the universal scaling of conductivity isotherms. These outcomes not only pave the way for increasing our elemental understanding of the transport mechanism in the RGO system, but will also motivate the investigation of the transport mechanism in other order-disorder systems.

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Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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AC Conduction and Time–Temperature Superposition Scaling in a Reduced Graphene Oxide–Zinc Sulfide Nanocomposite

et al. 2016

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“…For interesting Chern-Simons theories that go beyond or generalize the kinematical setup, see, e.g., [35][36][37][47][48][49].…”

Section: Kinematical Limits Of Three-dimensional Gravitymentioning

confidence: 99%

Limits of three-dimensional gravity and metric kinematical Lie algebras in any dimension

Matulich

Prohazka

Salzer

2019

J. High Energ. Phys.

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We extend a recent classification of three-dimensional spatially isotropic homogeneous spacetimes to Chern-Simons theories as three-dimensional gravity theories on these spacetimes. By this we find gravitational theories for all carrollian, galilean, and aristotelian counterparts of the lorentzian theories. In order to define a nondegenerate bilinear form for each of the theories, we introduce (not necessarily central) extensions of the original kinematical algebras. Using the structure of so-called double extensions, this can be done systematically. For homogeneous spaces that arise as a limit of (anti-)de Sitter spacetime, we show that it is possible to take the limit on the level of the action, after an appropriate extension. We extend our systematic construction of nondegenerate bilinear forms also to all higher-dimensional kinematical algebras.

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Spatially isotropic homogeneous spacetimes

Figueroa-O’Farrill

Prohazka

2019

J. High Energ. Phys.

137

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A. We classify simply-connected homogeneous (D + 1)-dimensional spacetimes for kinematical and aristotelian Lie groups with D-dimensional space isotropy for all D 0. Besides well-known spacetimes like Minkowski and (anti) de Sitter we find several new classes of geometries, some of which exist only for D = 1, 2. These geometries share the same amount of symmetry (spatial rotations, boosts and spatio-temporal translations) as the maximally symmetric spacetimes, but unlike them they do not necessarily admit an invariant metric. We determine the possible limits between the spacetimes and interpret them in terms of contractions of the corresponding transitive Lie algebras. We investigate geometrical properties of the spacetimes such as whether they are reductive or symmetric as well as the existence of invariant structures (riemannian, lorentzian, galilean, carrollian, aristotelian) and, when appropriate, discuss the torsion and curvature of the canonical invariant connection as a means of characterising the different spacetimes.A partial mathematical answer to this question is the classification of kinematical Lie algebras up to isomorphism, which started with the seminal work of Bacry and Lévy-Leblond [1] and of Bacry and Nuyts [2], who classified kinematical algebras (with space isotropy) in the classical case of 3 + 1 dimensions, and culminated recently with a classification in arbitrary dimension using techniques in deformation theory [3,4,5]. The reason this classification is only a partial answer is that the isomorphism type of the Lie algebra is too coarse an invariant: it does not determine uniquely the geometric realisation of the Lie algebra. The ur-example is the Lorentz Lie algebra so(D + 1, 1), which acts transitively and isometrically both on de Sitter spacetime and on hyperbolic space in D + 1 dimensions, and, in what is possibly a new twist on an old tale, we will see that it also acts transitively on a carrollian spacetime of the same dimension.The first step towards a complete answer to the fundamental question was taken already in the original paper [1] of Bacry and Lévy-Leblond. Although restricted to 3 + 1 dimensions and to spacetimes admitting parity and time-reversal transformations, they already distinguish between the abstract Lie algebras and their geometric realisations on homogeneous spacetimes, arriving at a list of eleven possible kinematics. Our more refined analysis in this paper reduces that list to ten, since the para-galilean and static kinematical Lie algebras lead to isomorphic homogeneous aristotelian spacetimes. In addition, we drop the requirement of parity or time-reversal symmetries and we work in arbitrary (positive) dimension D + 1.More precisely, in this paper we give a more complete answer to the fundamental question by classifying the geometric realisations of kinematical Lie algebras on simply-connected homogeneous spacetimes. The classification we present in this paper, while encompassing the classical geometries like (anti) de Sitter, Minkowski, galilean and carrolli...

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Nonrelativistic limits of colored gravity in three dimensions

Cited by 12 publications

References 38 publications

AC Conduction and Time–Temperature Superposition Scaling in a Reduced Graphene Oxide–Zinc Sulfide Nanocomposite

AC Conduction and Time–Temperature Superposition Scaling in a Reduced Graphene Oxide–Zinc Sulfide Nanocomposite

Limits of three-dimensional gravity and metric kinematical Lie algebras in any dimension

Spatially isotropic homogeneous spacetimes

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