Modulation induced phase transition from fractional quantum hall to stripe state at v = 5/3

Akira Endo; Naokazu Shibata; Yasuhiro Iye

doi:10.1143/JPSJ.79.103707

Modulation induced phase transition from fractional quantum hall to stripe state at v = 5/3

Akira Endo, Naokazu Shibata, Yasuhiro Iye

SCI - Physics

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

We have investigated the effect of unidirectional periodic potential modulation on the fractional quantum Hall (FQH) state at filling factors v = 5/3 and 4/3. For large enough modulation amplitude, we find that the resistivity minimum at v = 5/3 gives way to a peak that grows with decreasing temperature. Density matrix renormalization group calculation reveals that phase transition from FQH state to unidirectional striped state having a period ∼4l (with l the magnetic length) takes place at v = 1/3 (equivalent to v = 5/3 by the particle-hole symmetry) with the increase of the modulation amplitude, suggesting that the observed peak is the manifestation of the stripe phase.

Original language	English
Article number	103707
Journal	journal of the physical society of japan
Volume	79
Issue number	10
DOIs	https://doi.org/10.1143/JPSJ.79.103707
Publication status	Published - 2010 Oct 1

Keywords

Density matrix renormalization group
Fractional quantum Hall effect
Potential modulation
Stripe phase
Two-dimensional electron gas
Unidirectional lateral superlattice

ASJC Scopus subject areas

Physics and Astronomy(all)

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10.1143/JPSJ.79.103707

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abstract = "We have investigated the effect of unidirectional periodic potential modulation on the fractional quantum Hall (FQH) state at filling factors v = 5/3 and 4/3. For large enough modulation amplitude, we find that the resistivity minimum at v = 5/3 gives way to a peak that grows with decreasing temperature. Density matrix renormalization group calculation reveals that phase transition from FQH state to unidirectional striped state having a period ∼4l (with l the magnetic length) takes place at v = 1/3 (equivalent to v = 5/3 by the particle-hole symmetry) with the increase of the modulation amplitude, suggesting that the observed peak is the manifestation of the stripe phase.",

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AU - Endo, Akira

AU - Shibata, Naokazu

AU - Iye, Yasuhiro

PY - 2010/10/1

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N2 - We have investigated the effect of unidirectional periodic potential modulation on the fractional quantum Hall (FQH) state at filling factors v = 5/3 and 4/3. For large enough modulation amplitude, we find that the resistivity minimum at v = 5/3 gives way to a peak that grows with decreasing temperature. Density matrix renormalization group calculation reveals that phase transition from FQH state to unidirectional striped state having a period ∼4l (with l the magnetic length) takes place at v = 1/3 (equivalent to v = 5/3 by the particle-hole symmetry) with the increase of the modulation amplitude, suggesting that the observed peak is the manifestation of the stripe phase.

AB - We have investigated the effect of unidirectional periodic potential modulation on the fractional quantum Hall (FQH) state at filling factors v = 5/3 and 4/3. For large enough modulation amplitude, we find that the resistivity minimum at v = 5/3 gives way to a peak that grows with decreasing temperature. Density matrix renormalization group calculation reveals that phase transition from FQH state to unidirectional striped state having a period ∼4l (with l the magnetic length) takes place at v = 1/3 (equivalent to v = 5/3 by the particle-hole symmetry) with the increase of the modulation amplitude, suggesting that the observed peak is the manifestation of the stripe phase.

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KW - Fractional quantum Hall effect

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KW - Stripe phase

KW - Two-dimensional electron gas

KW - Unidirectional lateral superlattice

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