Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
1998-09-01
Phys. Rev. Lett. 80, 1505 (1998)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
This paper has already appeared in PRL, but has not been on the web
Scientific paper
10.1103/PhysRevLett.80.1505
Quantum Hall states at filling fraction $\nu$=5/2 are examined by numerical diagonalization. Spin-polarized and -unpolarized states of systems with $N\le 18$ electrons are studied, neglecting effects of Landau level mixing. We find that the ground state is spin polarized. It is incompressible and has a large overlap with paired states like the Pfaffian. For a given sample, the energy gap is about 11 times smaller than at $\nu$=1/3. Evidence is presented of phase transitions to compressible states, driven by the interaction strength at short distance. A reinterpretation of experiments is suggested.
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