Real Space Effective Interaction and Phase Transition in the Lowest Landau Level

Details Real Space Effective Interaction and Phase Transition in the Lowest Landau Level Real Space Effective Interaction and Phase Transition in the Lowest Landau Level

2004-03-19

arxiv.org/abs/cond-mat/0403493v2

J. Phys. Soc. Jpn. Vol.73 (2004) 2169

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5 pages, to appear in J. Phys. Soc. Jpn. Vol.73, No.8 (2004)

Scientific paper

10.1143/JPSJ.73.2169

The transition between the stripe state and the liquid state in a high magnetic field is studied by the density-matrix renormalization-group (DMRG) method. Systematic analysis on the ground state of two-dimensional electrons in the lowest Landau level shows that the transition from the stripe state to the liquid state at v=3/8 is caused by a reduction of repulsive interaction around r=3. The same reduction of the interaction also stabilizes the incompressible liquid states at v=1/3 and 2/5, which shows a similarity between the two liquid states at v=3/8 and 1/3. It is also shown that the strong short-range interaction around r=1 in the lowest Landau level makes qualitatively different stripe correlations compared with that in higher Landau levels.

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