Dunkl-Graphene in constant magnetic field
arXiv:2208.11729 · doi:10.1140/epjp/s13360-022-03463-3
Abstract
Graphene-based materials are thought to revolutionize entire industries. Therefore, many research are being carried on graphene theoretically and experimentally. On the other hand, recent studies show that the use of Dunkl derivative, instead of ordinary derivative, allows the concept of parity to be interpreted together with other physical quantities. In this manuscript, we investigate the thermal quantities of graphene under the constant magnetic field with the Dunkl-formalism. We observe that only at low temperatures Dunkl-parameters, thus parity, modify the conventional results.
arXiv comment11 pages, 4 Figures
References in corpus (35)
- Electric Field Effect in Atomically Thin Carbon Films
- Thermal Properties of Graphene, Carbon Nanotubes and Nanostructured Carbon Materials
- Thermal properties of graphene: Fundamentals and applications
- Exchange Operator Formalism for Integrable Systems of Particles
- Electric Field Modulation of Galvanomagnetic Properties of Mesoscopic Graphite
- Exact operator solution of the Calogero-Sutherland model
- Single-photon nonlinear optics with graphene plasmons
- Quantum field theory in curved graphene spacetimes, Lobachevsky geometry, Weyl symmetry, Hawking effect, and all that
- Deformed Heisenberg algebra with reflection
- The Dunkl oscillator in the plane II : representations of the symmetry algebra
- The Dunkl oscillator in the plane I : superintegrability, separated wavefunctions and overlap coefficients
- Common Algebraic Structure for the Calogero-Sutherland Models
- The Dunkl oscillator in three dimensions
- Exact Solutions of the 2D Dunkl--Klein--Gordon Equation: The Coulomb Potential and the Klein--Gordon Oscillator
- solution for the Dunkl oscillator in two dimensions and its coherent states
- Exact Solution of the Relativistic Dunkl Oscillator in Dimensions
- Bosons, fermions and anyons in the plane, and supersymmetry
- Dunkl-Klein-Gordon equation in three-dimensions: The Klein-Gordon oscillator and Coulomb Potential
- The effect of rippling on the mechanical properties of graphene
- Thermodynamical properties of graphene in noncommutative phase-space
- Thermal Properties of Relativistic Dunkl Oscillators
- Algebraic approach for the one-dimensional Dirac-Dunkl oscillator
- solution for the Dunkl-Coulomb problem in two dimensions and its coherent states
- Fractional helicity, Lorentz symmetry breaking, compactification and anyons
- Noncommutative Graphene
- Graphene properties from curved space Dirac equation
- Coupling of two Dirac particles
- Exact solutions of the Schrödinger Equation with Dunkl Derivative for the Free-Particle Spherical Waves, the Pseudo-Harmonic Oscillator and the Mie-type Potential
- The Bannai-Ito algebra and some applications
- Landau levels for the Dunkl-Klein-Gordon oscillator
- Negative-curvature spacetime solutions for graphene
- A Noncommutative Space Approach to Confined Dirac Fermions in Graphene
- Thermodynamic Properties of Graphene in Magnetic Field and Rashba Coupling
- Graphene in curved Snyder space
- Massless Dirac Fermions in Electromagnetic Field
Cited by in corpus (17)
- The condensation of ideal Bose gas in a gravitational field in the framework of Dunkl-statistic
- Dunkl-Pauli Equation in the Presence of a Magnetic Field
- Dunkl-Schrödinger equation with time-dependent harmonic oscillator potential
- The Dunkl-Fokker-Planck Equation in Dimensions
- Time-Dependent Dunkl-Schrödinger Equation with an Angular-Dependent Potential
- The Condensation of Ideal Dunkl-Bose Gas in Power-Law Traps
- A Path Integral Treatment of Time-dependent Dunkl Quantum Mechanics
- One-dimensional Dunkl Quantum Mechanics: A Path Integral Approach
- On Dunkl-Bose-Einstein Condensation in Harmonic Traps
- Dirac equation in curved spacetime: the role of local Fermi velocity
- Dunkl-Klein-Gordon Equation in Higher Dimensions
- Time-dependent Dunkl-Pauli Oscillator
- Bounding the Wigner Deformation Parameter in Harmonically Trapped Bose Gases
- Spectral and Thermal Analysis of the Morse Potential within the Dunkl Formalism: Analytical Approximations and Applications
- Impact of the non-canonical approach to the exact solution of the ideal one-dimensional electron gas confined with an anisotropic quantum wire of oscillator-shaped profile
- Algebraic solution and thermodynamic properties of graphene in the presence of minimal length
- Thermal Properties of Gauge-Invariant Graphene in Noncommutative Phase-Space