Emergence of F(R) gravity-analogue due to defects in graphene
arXiv:1606.02039 · doi:10.1140/epjb/e2016-70428-4
Abstract
We show that the defects of graphene, which lead to the non-equality between positive curvature of fermions with anti-parallel spins and negative curvature of fermions with parallel spins, imply an emergence of F(R) gravity. By increasing the number of atoms at each defect, the order of scalar curvature increases and the shape of F(R) gravity changes. This gravity has a direct relation with energy-momentum tensor and leads to motion of electrons in a special path and hence producing superconductivity. Also, for some special angles, parallel spins become close to each other and repel to each other. In that condition, the shape of F(R) gravity changes and electrons can't continue to move in an initial path and return. Consequently, superconductivity disappears and one new conductivity appears in opposite direction.
Accepted in EPJB
References in corpus (13)
- Resummation of Massive Gravity
- Gauge Symmetry and Supersymmetry of Multiple M2-Branes
- Algebraic structures on parallel M2-branes
- Cosmography of f(R) gravity
- M2 to D2
- Wormholes and nonsingular space-times in Palatini gravity
- Matter Bounce Loop Quantum Cosmology from Gravity
- Graphene wormholes: A condensed matter illustration of Dirac fermions in curved space
- Cosmology of the proxy theory to massive gravity
- Crystal clear lessons on the microstructure of space-time and modified gravity
- Density of states in graphene with vacancies: midgap power law and frozen multifractality
- Emergence and oscillation of cosmic space by joining M1-branes
- Analogies in electronic properties of graphene wormhole and perturbed nanocylinder