In physics, a Dirac fermion is a spin-½ particle (a fermion) which is different from its antiparticle. A vast majority of fermions fall under this category...

In particle physics, a fermion is a particle that follows Fermi–Dirac statistics. Fermions have a half-odd-integer spin (spin 1/2, spin 3/2, etc.) and...

a Dirac fermion, which describes fermions that are not their own antiparticles. With the exception of neutrinos, all of the Standard Model fermions are...

a fermionic field is a quantum field whose quanta are fermions; that is, they obey Fermi–Dirac statistics. Fermionic fields obey canonical anticommutation...

the system. Fermi–Dirac statistics is most commonly applied to electrons, a type of fermion with spin 1/2. A counterpart to Fermi–Dirac statistics is Bose–Einstein...

behave as Weyl fermions, leading to the notion of Weyl semimetals. Mathematically, any Dirac fermion can be decomposed as two Weyl fermions of opposite chirality...

In particle physics, the Dirac equation is a relativistic wave equation derived by British physicist Paul Dirac in 1928. In its free form, or including...

A Helical Dirac fermion is a charge carrier that behaves as a massless relativistic particle with its intrinsic spin locked to its translational momentum...

discretized Dirac fermions in d{\displaystyle d} Euclidean dimensions, each fermionic field results in 2d{\displaystyle 2^{d}} identical fermion species,...

Among other discoveries, he formulated the Dirac equation in 1928, which describes the behaviour of fermions and predicted the existence of antimatter...

dimensional Dirac points. As a result of the cones, electrical conduction can be described by the movement of charge carriers which are massless fermions, a situation...

parity transformation. Invariance under parity transformation by a Dirac fermion is called chiral symmetry. The helicity of a particle is positive ("right-handed")...

nuclei. Fermions have half-integer spin; for all known elementary fermions this is 1⁄2. All known fermions except neutrinos, are also Dirac fermions; that...

spacetime Dirac equation in the algebra of physical space Nonlinear Dirac equation Two-body Dirac equations Dirac fermion Dirac field Dirac gauge Dirac hole...

version of the Dirac–Kähler fermion. The naively discretized Dirac action in Euclidean spacetime with lattice spacing a {\displaystyle a} and Dirac fields ψ...

the staggered fermion formalism in lattice field theory, making Dirac–Kähler fermions the formal continuum limit of staggered fermions. The equation was...

itself was formulated for fermions, the quasi-particles present within Dirac matter can be of any statistics. As a consequence, Dirac matter can be distinguished...

energies, the free fields obey the following equations: The fermion field ψ satisfies the Dirac equation; (iℏγμ∂μ−mfc)ψf=0{\displaystyle (i\hbar \gamma ^{\mu...

A fermionic condensate (or Fermi–Dirac condensate) is a superfluid phase formed by fermionic particles at low temperatures. It is closely related to the...

theoretically predicted Berry's phase of massless Dirac fermions and the first proof of the Dirac fermion nature of electrons. These effects had been observed...

Majorana fermion. In that case, it could annihilate with another neutrino, allowing neutrinoless double beta decay. The other case is that it is a Dirac fermion...

do not behave in this way. Dirac's solution to this was to rely on the Pauli exclusion principle. Electrons are fermions, and obey the exclusion principle...

In quantum field theory, the Dirac spinor is the spinor that describes all known fundamental particles that are fermions, with the possible exception...

equation. For example, one-half of a charged Dirac fermion of a definite chirality is a Weyl fermion. Weyl fermions may be realized as emergent quasiparticles...

other being fermions, which have odd half-integer spin (1⁄2, 3⁄2, 5⁄2, ...). Every observed subatomic particle is either a boson or a fermion. Some bosons...

of fermions into quantum states ranked by energy is called the Fermi-Dirac distribution.: 30  Degenerate matter exhibits the results of Fermi-Dirac distribution...

to the Dirac equation for spinor fields are often called harmonic spinors. Feynman's Dirac operator describes the propagation of a free fermion in three...

of Dirac fermions without chiral symmetry and as such, it may or may not be massive. The Thirring model. This is a four-fermi theory of fermions with...

is formally equivalent to the massless Dirac equation. Hence, the electrons and holes are called Dirac fermions. This pseudo-relativistic description is...

then properly be called fermions; fermions have the algebraic qualities of spinors. By general convention, the terms "fermion" and "spinor" are often...