Abstract
Laughlin has proposed mean-field wave functions for particles obeying (1-1/J) fractional statistics where J is an integer. We demonstrate off-diagonal long-range order in these wave functions, which is closely related to the off-diagonal long-range order in the electronic wave functions corresponding to J completely filled Landau levels. The presence of off-diagonal long-range order signifies Bose condensation of bosonlike multiplets containing J particles. For J=2, which may be relevant to high-temperature superconductivity, our result implies Cooper pairing in Laughlins wave function for half-fermions.
Original language | English (US) |
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Pages (from-to) | 2723-2726 |
Number of pages | 4 |
Journal | Physical Review B |
Volume | 40 |
Issue number | 4 |
DOIs | |
State | Published - Jan 1 1989 |
All Science Journal Classification (ASJC) codes
- Condensed Matter Physics