Adiabatic heuristic construction of trial wave functions for quantum Hall states at arbitrary fractional fillings
✍ Scribed by Sergio De Filippo; Carmine Lubritto
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 553 KB
- Volume
- 217
- Category
- Article
- ISSN
- 0921-4526
No coin nor oath required. For personal study only.
✦ Synopsis
Starting from a lowest Landau level filled with several electron species, adiabatic interpolation through anyon hamiltonians is considered. The antisymmetrized final states are explicit trial wave functions for identical electrons, depending on three integer parameters, and generalize the Laughlin wave function to arbitrary fractional fillings. Space homogeneity is proved by Laughlin's classical plasma argument, which is exploited also to estimate the energy by Monte Carlo simulations. Numerical results are consistent with energies reported by other authors using much less simple trial wave functions.
Nhc/(eBS)
It is worth to remark that, in spite of the similarity between the wave functions proposed here