# landau level in a sentence

### Examples

- The effective magnetic field of composite fermions has been confirmed by the similarity of the fractional and the integer quantum Hall effects, observation of Fermi sea at half filled
*Landau level*, and measurements of the cyclotron radius. - An extremely high precision measurement of the quantized energies of the cyclotron orbits, or "
*Landau levels*", of the electron, compared to the quantized energies of the electron's two possible g-factor: - Read was awarded the 2002 Oliver E . Buckley Condensed Matter Prize together with Jainendra Jain and Robert Willet " For theoretical and experimental work establishing the composite fermion model for the half-filled
*Landau level*and other quantized Hall systems" - Electrons form
*Landau levels*in a magnetic field, and the number of filled Landau levels is called the filling factor, given by the expression \ nu = \ rho \ phi _ 0 / B . Composite fermions form Landau-like levels in the effective magnetic field B ^ *, which are called composite fermion Landau levels or \ Lambda levels. - Electrons form Landau levels in a magnetic field, and the number of filled
*Landau levels*is called the filling factor, given by the expression \ nu = \ rho \ phi _ 0 / B . Composite fermions form Landau-like levels in the effective magnetic field B ^ *, which are called composite fermion Landau levels or \ Lambda levels. - Electrons form Landau levels in a magnetic field, and the number of filled Landau levels is called the filling factor, given by the expression \ nu = \ rho \ phi _ 0 / B . Composite fermions form Landau-like levels in the effective magnetic field B ^ *, which are called composite fermion
*Landau levels*or \ Lambda levels. - The quantization of the Hall effect \ sigma _ { xy } at integer multiples ( the "
*Landau level*" ) of the basic quantity e ^ 2 / h ( where " e " is the elementary electric charge and " h " is Planck's constant ) It can usually be observed only in very clean silicon or gallium arsenide solids at temperatures around and very high magnetic fields. - Here \ Psi ^ { \ rm FQHE } _ { \ nu } is the wave function of interacting electrons at filling factor \ nu; \ Psi ^ { \ rm IQHE } _ { \ nu ^ * } is the wave function for weakly interacting electrons at \ nu ^ *; N is the number of electrons or composite fermions; z _ j = x _ j + iy _ j is the coordinate of the j th particle; and P is an operator that projects the wave function into the lowest
*Landau level*. - If we ignore the jellium and mutual Coulomb repulsion between the electrons as a zeroth order approximation, we have an infinitely degenerate lowest
*Landau level*( LLL ) and with a filling factor of 1 / n, we'd expect that all of the electrons would lie in the LLL . Turning on the interactions, we can make the approximation that all of the electrons lie in the LLL . If \ psi _ 0 is the single particle wavefunction of the LLL state with the lowest orbital angular momentum, then the Laughlin ansatz for the multiparticle wavefunction is