Abstract
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 ν ∼ 3/8 is caused by a reduction of repulsive interaction around r ∼ 3ℓ. The same reduction of the interaction also stabilizes the incompressible liquid states at ν = 1/3 and 2/5, which shows a similarity between the two liquid states at ν ∼ 3/8 and 1/3. It is also shown that the strong shortrange interaction around r ∼ ℓ in the lowest Landau level makes qualitatively different stripe correlations compared with that in higher Landau levels.
Original language | English |
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Pages (from-to) | 2169-2173 |
Number of pages | 5 |
Journal | journal of the physical society of japan |
Volume | 73 |
Issue number | 8 |
DOIs | |
Publication status | Published - 2004 Aug |
Externally published | Yes |
Keywords
- Density matrix
- Fractional quantum Hall effect
- Liquid
- Renormalization group
- Stripe
- Transition
- Two dimension
ASJC Scopus subject areas
- Physics and Astronomy(all)