Generalized uncertainty principle in graphene
@article{Iorio2019GeneralizedUP, title={Generalized uncertainty principle in graphene}, author={Alfredo Iorio and Pablo Pais}, journal={Journal of Physics: Conference Series}, year={2019}, volume={1275} }
We show that, by going beyond the low-energy approximation for which the dispersion relations of graphene are linear, the corresponding emergent field theory is a specific generalization a Dirac field theory. The generalized Dirac Hamiltonians one obtains are those compatible with specific generalizations of the uncertainty principle. We also briefly comment on the compatibility of the latter with noncommuting positions, [xi,xj] ≠ 0, and on their possible physical realization.
11 Citations
Wave function of perturbed Hamiltonian in graphene
- Physics, MathematicsInternational Journal of Geometric Methods in Modern Physics
- 2020
In this paper, we use the generalized Dirac structure beyond the linear regime of graphene. This is probed using the a deformation of the Dirac structure in graphene by the generalized uncertainty…
Weyl–Dirac Equation in Fractional-Dimensional Space: Graphene
- PhysicsFew-Body Systems
- 2022
In this paper, we have treated exact analytical the two-dimensional massless Dirac–Weyl equation under the effect of a uniform electromagnetic field within a fractional-dimensional space, in which…
Hunting Quantum Gravity with Analogs: The Case of Graphene
- PhysicsUniverse
- 2022
Analogs of fundamental physical phenomena can be used in two ways. One way consists in reproducing specific aspects of the classical or quantum gravity of quantum fields in curved space or of other…
Two-dimensional boson oscillator under a magnetic field in the presence of a minimal length in the non-commutative space
- Physics
- 2021
The studies of the relativistic generalization of the harmonic oscillator has drawn much attention in recent years. The wellknown relativistic model of the harmonic oscillator was revived by…
Scalar Particle in New Type of the Extended Uncertainty Principle
- PhysicsFew-Body Systems
- 2019
In the context of new type of the extended uncertainty principle using the displacement operator method, we present an exact solution of some problems such as: the Klein–Gordon particle confined in a…
Path integral for quantum dynamics with position-dependent mass within the displacement operator approach
- Physics
- 2020
In the context of quantum mechanics reformulated in a modified Hilbert space, we can formulate the Feynman’s path integral approach for the quantum systems with position-dependent mass particle using…
Klein paradox between transmitted and reflected Dirac waves on Bour surfaces
- Physics
- 2022
It is supposed the existence of a curved graphene sheet with the geometry of a Bour surface B n , such as the catenoid (or helicoid), B 0 , and the classical Enneper surface, B 2 , among others. In…
Thermodynamics of spacetime from minimal area
- PhysicsPhysical Review D
- 2021
Motivated by exploring the interface between thermodynamics of spacetime and quantum gravity effects, we develop a heuristic derivation of Hawking temperature and Bekenstein entropy from the…
Generalized uncertainty principle in three-dimensional gravity and the BTZ black hole
- PhysicsPhysical Review D
- 2020
We investigate the structure of the gravity-induced generalized uncertainty principle in three dimensions. The subtleties of lower-dimensional gravity, and its important differences concerning four…
Testing short distance anisotropy in space
- Physics, GeologyScientific reports
- 2021
This work investigates how quantum gravity corrections modify low energy physics through an anisotropic deformation of the Heisenberg algebra and discusses how such anisotropies might be observed using a scanning tunnelling microscope.
References
SHOWING 1-10 OF 28 REFERENCES
Generalized Dirac structure beyond the linear regime in graphene
- PhysicsInternational Journal of Modern Physics D
- 2018
We show that a generalized Dirac structure survives beyond the linear regime of the low-energy dispersion relations of graphene. A generalized uncertainty principle of the kind compatible with…
Electronic properties of graphene
- ChemistryReviews of Modern Physics
- 2009
Graphene is the first example of truly two‐dimensional crystals – it's just one layer of carbon atoms. It turns out that graphene is a gapless semiconductor with unique electronic properties…
Two-dimensional gas of massless Dirac fermions in graphene
- PhysicsNature
- 2005
This study reports an experimental study of a condensed-matter system (graphene, a single atomic layer of carbon) in which electron transport is essentially governed by Dirac's (relativistic) equation and reveals a variety of unusual phenomena that are characteristic of two-dimensional Dirac fermions.
Revisiting the gauge fields of strained graphene
- Physics
- 2015
We show that when graphene is only subject to strain, the spin connection gauge field that arises plays no measurable role, but when intrinsic curvature is present and strain is small, spin…
(Anti-)de Sitter, Poincaré, Super symmetries, and the two Dirac points of graphene
- PhysicsAnnals of Physics
- 2018
Quantum field theory in curved graphene spacetimes, Lobachevsky geometry, Weyl symmetry, Hawking effect, and all that
- Physics
- 2014
The solutions of many issues, of the ongoing eorts to make deformed graphene a tabletop quantum eld theory in curved spacetimes, are presented. A detailed explanation of the special features of…