130 citations · 441 across the 30 of their papers we have counts for
30 papers
Lorentz-violating extension of Wigner function formalism and chiral kinetic theory
Ömer F. Dayi
The quantum kinetic equation for the gauge-invariant Wigner function, constructed from spinor fields that obey the Dirac equation modified by CPT and Lorentz symmetry-violating ter…
Gauge theories for fluids in 2+1 dimensions through master actions
Omer F. Dayi
Two actions which are functionals of different variables but describing the same dynamical system can be shown to possess the same origin by constructing a master action which gene…
Spin Currents of Charged Dirac Particles in Rotating Coordinates
O. F. Dayi, E. Yunt
The semiclassical Boltzmann transport equation of charged, massive fermions in a rotating frame of reference, in the presence of external electromagnetic fields is solved in the re…
Nonlinear Chiral Plasma Transport in Rotating Coordinates
Omer F. Dayi, Eda Kilincarslan
The nonlinear transport features of inhomogeneous chiral plasma in the presence of electromagnetic fields, in rotating coordinates are studied within the relaxation time approach.…
Semiclassical dynamics of Dirac and Weyl particles in rotating coordinates
O. F. Dayi, E. Kilincarslan, E. Yunt
The semiclassical kinetic theory of Dirac particles in the presence of external electromagnetic fields and global rotation is established. To provide the Hamiltonian formulation of…
A Semiclassical Kinetic Theory of Dirac Particles and Thomas Precession
O. F. Dayi, E. Kilincarslan
Kinetic theory of Dirac fermions is studied within the matrix valued differential forms method. It is based on the symplectic form derived by employing the semiclassical wave packe…
Relation Between the Spin Hall Conductivity and the Spin Chern Number for Dirac-like Systems
Ömer F. Dayi, Elif Yunt
A semiclassical formulation of the spin Hall effect for physical systems satisfying Dirac-like equation is introduced. We demonstrated that the main contribution to the spin Hall c…
The Effective field theory of 2+1 dimensional topological insulator in the presence of Rashba spin-orbit interaction
Omer F. Dayi, Mahmut Elbistan
2+1 dimensional topological insulator described by the Kane-Mele model in the presence of Rashba spin-orbit interaction is considered. The effective action of the external fields c…
3+1 dimensional topological field theory as the effective action of neutral fermions
O. F. Dayi, M. Elbistan
We proposed an action of neutral fermions interacting with external electromagnetic fields to construct a 3+1 dimensional topological field theory as the effective action attained…
Effective field theory of topological insulator and the Foldy-Wouthuysen transformation
O. F. Dayi, M. Elbistan, E. Yunt
Employing the Foldy-Wouthuysen transformation it is demonstrated straightforwardly that the first and second Chern numbers are equal to the coefficients of the 2+1 and 4+1 dimensio…
Gauge Potential Formulations of the Spin Hall Effect in Graphene
O. F. Dayi, E. Yunt
Two different gauge potential methods are engaged to calculate explicitly the spin Hall conductivity in graphene. The graphene Hamiltonian with spin-orbit interaction is expressed…
An Alternative Formulation of Hall Effect and Quantum Phases in Noncommutative Space
O. F. Dayi, B. Yapiskan
A recent method of constructing quantum mechanics in noncommutative coordinates, alternative to implying noncommutativity by means of star product is discussed. Within this approac…
A Noncommutative Space Approach to Confined Dirac Fermions in Graphene
Omer F. Dayi, Ahmed Jellal
A generalized algebra of noncommutative coordinates and momenta embracing non-Abelian gauge fields is proposed. Through a two-dimensional realization of this algebra for a gauge fi…
Spin Hall Effect in Noncommutative Coordinates
O. F. Dayi, M. Elbistan
A semiclassical constrained Hamiltonian system which was established to study dynamical systems of matrix valued non-Abelian gauge fields is employed to formulate spin Hall effect…
Noncommutative Maxwell-Chern-Simons theory, duality and a new noncommutative Chern-Simons theory in d=3
O. F. Dayi
Noncommutative Maxwell-Chern-Simons theory in 3-dimensions is defined in terms of star product and noncommutative fields. Seiberg-Witten map is employed to write it in terms of ord…
Hamiltonian formulation of Noncommutative D3--Brane
O. F. Dayi, B. Yapiskan
Lagrangians of the Abelian Gauge Theory and its dual are related in terms of a shifted action. We show that in d=4 constrained Hamiltonian formulation of the shifted action yields…
Wigner Functions for the Landau Problem in Noncommutative Spaces
O. F. Dayi, L. T. Kelleyane
An electron moving on plane in a uniform magnetic field orthogonal to plane is known as the Landau problem. Wigner functions for the Landau problem when the plane is noncommutative…
Hall Effect in Noncommutative Coordinates
O. F. Dayi, A. Jellal
We consider electrons in uniform external magnetic and electric fields which move on a plane whose coordinates are noncommuting. Spectrum and eigenfunctions of the related Hamilton…
Landau Diamagnetism in Noncommutative Space and the Nonextensive Thermodynamics of Tsallis
O. F. Dayi, A. Jellal
We consider the behavior of electrons in an external uniform magnetic field B where the space coordinates perpendicular to B are taken as noncommuting. This results in a generaliza…
Non-Abelian Fractional Supersymmetry in Two Dimensions
H. Ahmedov, O. F. Dayi
Non-Abelian fractional supersymmetry algebra in two dimensions is introduced utilizing $U_q(sl(2,\Rcc))$ at roots of unity. Its representations and the matrix elements are obtained…
Two Dimensional Fractional Supersymmetry from the Quantum Poincare Group at Roots of Unity
H. Ahmedov, O. F. Dayi
A group theoretical understanding of the two dimensional fractional supersymmetry is given in terms of the quantum Poincare group at roots of unity. The fractional supersymmetry al…
Hamiltonian Formulation of Jackiw--Pi 3-Dimensional Gauge Theories
O. F. Dayi
A 3-dimensional non-abelian gauge theory was proposed by Jackiw and Pi to create mass for the gauge fields. However, the quadratic action obtained by switching off the non-abelian…
Quantum Hall Effect Wave Functions as Cyclic Representations of U_q(sl(2))
O. F. Dayi
Quantum Hall effect wave functions corresponding to the filling factors 1/2p+1, 2/2p+1, ..., 2p/2p+1, 1, are shown to form a basis of irreducible cyclic representation of the quant…
q-deformed Star Products and Moyal Brackets
O. F. Dayi
The standard and anti-standard ordered operators acting on two-dimensional q-deformed phase space are shown to satisfy algebras which can be called W_\infty. q-star products and q-…