Spin instabilities and quantum phase transitions in integral and fractional quantum Hall states

Details Spin instabilities and quantum phase transitions in integral and fractional quantum Hall states Spin instabilities and quantum phase transitions in integral and fractional quantum Hall states

2001-11-28

arxiv.org/abs/cond-mat/0111532v1

Phys. Rev. B 65, 201301 (2002)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 5 figures, submitted to Phys.Rev.Lett

Scientific paper

10.1103/PhysRevB.65.201301

The inter-Landau-level spin excitations of quantum Hall states at filling factors nu=2 and 4/3 are investigated by exact numerical diagonalization for the situation in which the cyclotron (hbar*omega_c) and Zeeman (E_Z) splittings are comparable. The relevant quasiparticles and their interactions are studied, including stable spin wave and skyrmion bound states. For nu=2, a spin instability at a finite value of epsilon=hbar*omega_c-E_Z leads to an abrupt paramagnetic to ferromagnetic transition, in agreement with the mean-field approximation. However, for nu=4/3 a new and unexpected quantum phase transition is found which involves a gradual change from paramagnetic to ferromagnetic occupancy of the partially filled Landau level as epsilon is decreased.

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