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Helical Dirac fermion information


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

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Helical Dirac fermion

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

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Majorana fermion

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

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Dirac spinor

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

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Dirac equation

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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...

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Dirac cone

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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...

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Weyl equation

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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...

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Helicity basis

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momentum-space Dirac spinors for a fermion and anti-fermion respectively. Put it more explicitly, the Dirac spinors in the helicity basis for a fermion is u λ...

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Sterile neutrino

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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...

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Antiparticle

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infinite negative charge for the universe – a problem of which Dirac was aware. Dirac tried to argue that we would perceive this as the normal state of...

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List of particles

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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...

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Topological insulator

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encoded in the existence of a gas of helical Dirac fermions. Dirac particles which behave like massless relativistic fermions have been observed in 3D topological...

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Neutrino

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neutrino (/njuːˈtriːnoʊ/ new-TREE-noh; denoted by the Greek letter ν) is a fermion (an elementary particle with spin of  1 /2) that interacts only via the...

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Relativistic quantum mechanics

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elementary spin 1⁄2 fermions, fine structure, and quantum dynamics of charged particles in electromagnetic fields. The key result is the Dirac equation, from...

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Zitterbewegung

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Schrödinger in 1930 as a result of analysis of the wave packet solutions of the Dirac equation for relativistic electrons in free space, in which an interference...

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MHV amplitudes

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scattering, extensions exist for massive particles, scalars (the Higgs) and for fermions (quarks and their interactions in QCD). Work done in 1980s by Stephen Parke...

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Photon

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to fermions with half-integer spin). By the spin-statistics theorem, all bosons obey Bose–Einstein statistics (whereas all fermions obey Fermi–Dirac statistics)...

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Gordon decomposition

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mathematical physics, the Gordon decomposition (named after Walter Gordon) of the Dirac current is a splitting of the charge or particle-number current into a part...

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Feynman checkerboard

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yields a propagator that satisfies the one-dimensional Dirac equation. As a result, helicity (the one-dimensional equivalent of spin) is obtained from...

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Electron

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half-integer value, expressed in units of the reduced Planck constant, ħ. Being fermions, no two electrons can occupy the same quantum state, per the Pauli exclusion...

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Chirality

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transformation between the two is called parity. Invariance under parity by a Dirac fermion is called chiral symmetry. Electromagnetic waves can have handedness...

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Automatic calculation of particle interaction or decay

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splitting the internal lines into wave function of fermions and polarization vectors of gauge bosons. All helicity configuration can be computed independently...

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Quantum spin Hall effect

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time reversal symmetric U(1) gauge theory with bulk fermions of opposite sign mass, a massless Dirac surface mode, and bulk currents that carry chirality...

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Majorana equation

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2.1776A. doi:10.3390/sym2041776. Pal, Palash B. (2011). "Dirac, Majorana, and Weyl fermions". American Journal of Physics. 79 (5): 485–498. arXiv:1006...

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Higgs boson

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(2012) In the Standard Model, the mass term arising from the Dirac Lagrangian for any fermion ψ {\displaystyle \psi } is − m ψ ¯ ψ {\displaystyle -m{\bar...

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