Six Impossible Things: Fractional Charge From Laughlin's Wave Function

Journal Article · Thu Dec 23 00:00:00 EST 2010 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3537888· OSTI ID:21511423

Shrivastava, Keshav N ^[1]

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1. Department of Physics, Faculty of Science, University of Malaya, Kuala Lumpur 50603 (Malaysia)

The Laughlin's wave function is found to be the zero-energy ground state of a {delta}-function Hamiltonian. The finite negative value of the ground state energy which is 91 per cent of Wigner value, can be obtained only when Coulomb correlations are introduced. The Laughlin's wave function is of short range and it overlaps with that of the exact wave functions of small (number of electrons 2 or 5) systems. (i) It is impossible to obtain fractional charge from Laughlin's wave function. (ii) It is impossible to prove that the Laughlin's wave function gives the ground state of the Coulomb Hamiltonian. (iii) It is impossible to have particle-hole symmetry in the Laughlin's wave function. (iv) It is impossible to derive the value of m in the Laughlin's wave function. The value of m in {psi}{sub m} can not be proved to be 3 or 5. (v) It is impossible to prove that the Laughlin's state is incompressible because the compressible states are also likely. (vi) It is impossible for the Laughlin's wave function to have spin. This effort is directed to explain the experimental data of quantum Hall effect in GaAs/AlGaAs.

• OSTI ID: 21511423
• Journal Information: AIP Conference Proceedings, Vol. 1325, Issue 1; Conference: 4. Asian physics international symposium, Bandung, West Java (Indonesia), 12-13 Oct 2010; Other Information: DOI: 10.1063/1.3537888; (c) 2010 American Institute of Physics; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ALUMINIUM ARSENIDES
CORRELATIONS
DELTA FUNCTION
ELECTRONS
FUNCTIONAL ANALYSIS
GALLIUM ARSENIDES
GROUND STATES
HALL EFFECT
HAMILTONIANS
HOLES
SPIN
SYMMETRY
WAVE EQUATIONS
WAVE FUNCTIONS
ALUMINIUM COMPOUNDS
ANGULAR MOMENTUM
ARSENIC COMPOUNDS
ARSENIDES
DIFFERENTIAL EQUATIONS
ELEMENTARY PARTICLES
ENERGY LEVELS
EQUATIONS
FERMIONS
FUNCTIONS
GALLIUM COMPOUNDS
LEPTONS
MATHEMATICAL OPERATORS
MATHEMATICS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE PROPERTIES
PNICTIDES
QUANTUM OPERATORS