A new method of calculation in the Fractional Quantum Hall Effect regime

• Autorzy: Zine Bentalha , Larabi Moumen , Tarik Ouahrani
• Języki publikacji: EN

Abstrakty

EN

The electron-electron and electron-background interaction energies are calculated analytically for systems with up to N = 6 electrons. The method consists of describing the position vectors of electrons using complex coordinates and all the interaction energies with complex notation, whereby simplifications become possible. As is known, in this type of calculation, complicated expressions involving integrals over many variables are encountered and the trick of using complex coordinates greatly facilitates the exact calculation of various quantities. Contrary to previous analytical calculations, using complex coordinates avoids complicated trigonometric functions from appearing in the integrand, simplifying the exact evaluation of the integrals. The method we have used can be straightforwardly extended to larger systems with N > 6 electrons.

Słowa kluczowe

EN

Quantum Hall effect; 2D electron gas; many-body wave function; strongly correlated systems

• Czasopismo: Open Physics
• Rocznik: 2014
• Tom: 12
• Numer: 7
• Strony: 511-516

Daty

wydano

2014-07-01

online

2014-06-21

Twórcy

autor

Zine Bentalha

• Laboratoire de Physique Théorique, Université de Tlemcen, B.P. 230, 13000, Tlemcen, Algeria,

autor

Larabi Moumen

• Laboratoire de Physique Théorique, Université de Tlemcen, B.P. 230, 13000, Tlemcen, Algeria

autor

Tarik Ouahrani

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Identyfikatory

DOI

10.2478/s11534-014-0476-5