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Dujovne, Irene; Pinczuk, A.; Kang, Moonsoo; Dennis, B. S.; Pfeiffer, L. N.; West, K. W.

doi:10.1103/physrevlett.90.036803

Phys. Rev. Lett.

2003

DOI: 10.1103/physrevlett.90.036803

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Evidence of Landau Levels and Interactions in Low-Lying Excitations of Composite Fermions at1/3≤ν≤2/5

Irene Dujovne

A. Pinczuk

Moonsoo Kang

et al.

Abstract: Excitation modes in the range 2/5>or=nu>or=1/3 of the fractional quantum Hall regime are observed by resonant inelastic light scattering. Spectra of spin-reversed excitations suggest a structure of lowest spin-split Landau levels of composite fermions that is similar to that of electrons. Spin-flip energies determined from spectra reveal significant composite fermion interactions. The filling factor dependence of mode energies displays an abrupt change in the middle of the range when there is partial populatio… Show more

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Cited by 38 publications

(63 citation statements)

References 29 publications

(67 reference statements)

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“…The bare Zeeman energy was obtained from spectra such as those in Figs. 3 and 4(a), where E Z is given by the position of the peaks labeled SW. With these determinations it was found that E ↑↓ ∼ = 0.054E c [24]. The measurement of the total spin reversal energy E * Z from the spin wave mode at q → ∞, as shown in Fig.…”

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confidence: 99%

“…Although there is considerable difference in density, both samples show a similar behavior. The figure reveals that an excitation derived from the SF roton at ν = 2/5 [11,24], the mode labelled SF − , shifts to lower energies as the second level starts to depopulate for ν 2/5, and disappears for filling factors in the middle of the range 2/5 ≥ ν ≥ 1/3. At larger magnetic fields, ν 1/3, a narrow peak (SF + ) appears below the SW.…”

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confidence: 99%

“…In more recent light scattering experiments quasiparticle excitations in the spin and charge degrees of freedom have been observed in the full range 2/5 ≥ ν ≥ 1/3 [24,25]. The measured excitations are interpreted with transitions CM, SW and SF.…”

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confidence: 99%

“…On this basis this mode was assigned to the SF transition |1 ↑>→ |0 ↓> shown in Fig. 1 [24]. Figure 4(a) displays spectra taken at ν = 1/3.…”

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confidence: 99%

“…In Ref. [24] the simultaneous measurements of E Z , the CM collective mode at ∆ ∞ and the newly discovered SF mode enabled a preliminary determination of the many-body spin reversal energy. Both ∆ ∞ and E ↑↓ are linear in the Coulomb energy E c .…”

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confidence: 99%

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Light scattering observations of spin reversal excitations in the fractional quantum Hall regime

Dujovne¹,

Hirjibehedin²,

Pinczuk³

et al. 2003

Solid State Communications

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Resonant inelastic light scattering experiments access the low lying excitations of electron liquids in the fractional quantum Hall regime in the range 2/5 ≥ ν ≥ 1/3. Modes associated with changes in the charge and spin degrees of freedom are measured. Spectra of spin reversed excitations at filling factor ν 1/3 and at ν 2/5 identify a structure of lowest spin-split Landau levels of composite fermions that is similar to that of electrons. Observations of spin wave excitations enable determinations of energies required to reverse spin. The spin reversal energies obtained from the spectra illustrate the significant residual interactions of composite fermions. At ν = 1/3 energies of spin reversal modes are larger but relatively close to spin conserving excitations that are linked to activated transport. Predictions of composite fermion theory are in good quantitative agreement with experimental results. The fractional quantum Hall effect (FQHE) is an electron condensation phenomenon that occurs at low temperatures when two-dimensional electron systems of very low disorder are exposed to high magnetic fields. The FQH states are archetypes of quantum fluids that emerge in low dimensional electron systems due to the impact of fundamental interactions. In the FQHE the 2D electron system becomes incompressible at certain values of the Landau level filling factor ν = nhc/eB, where n is the electron density and B is the perpendicular magnetic field. In the filling factor range 1 ≥ ν ≥ 1/3 the major sequence of the FQHE occurs at 'magic' filling factors ν = p/(2p ± 1), where p is an integer. The composite fermion (CF) framework interprets the sequence by attaching two vortices of the many body wavefunction to each electron [1,2]. Chern-Simons gauge fields incorporate electron interactions so that CF's experience effective magnetic fields B * = B − B 1/2 = ±B/(2p ± 1), where B 1/2 is the perpendicular magnetic field at ν = 1/2 [3, 4, 5]. Composite fermion quasiparticles have spin-split energy levels characteristic of charged fermions with spin 1/2 moving in the effective magnetic field B * . The levels resemble spin-split Landau levels of electrons. The number p thus becomes the CF Landau level filling factor and in FQHE states at ν = p/(2p ± 1) there are p fully occupied levels of composite fermions.Structures of spin-split CF levels are shown schematically in Fig. 1 for ν 1/3 and ν 2/5. The spacing between sequential CF levels with same spin is represented as a cyclotron frequency [3,6,7,8,9,10,11,12], ω c = eB * /cm CF , where m CF is a CF effective mass. Figure 1 also presents the transitions of composite fermions near filling factors 1/3 and 2/5. The charge mode (CM) transitions are spin-conserving. The spin wave (SW) and spin flip (SF) transitions involve a spin-reversal. The CM transition energies, however, could be different from CF level spacings. The difference is due to the changes in self-interaction energies that may occur when quasiparticles and quasiholes are created [9].Neutral pair excitations of quasiparti...

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confidence: 99%

mentioning

confidence: 99%

mentioning

confidence: 99%

“…On this basis this mode was assigned to the SF transition |1 ↑>→ |0 ↓> shown in Fig. 1 [24]. Figure 4(a) displays spectra taken at ν = 1/3.…”

mentioning

confidence: 99%

mentioning

confidence: 99%

See 3 more Smart Citations

Light scattering observations of spin reversal excitations in the fractional quantum Hall regime

Dujovne¹,

Hirjibehedin²,

Pinczuk³

et al. 2003

Solid State Communications

Self Cite

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Inelastic light scattering by low‐lying excitations of electrons in low‐dimensional semiconductors

Pellegrini¹,

Pinczuk

2006

Physica Status Solidi (b)

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The low-dimensional electron systems that reside in artificial semiconductor heterostructures of great perfection are a contemporary materials base for explorations of collective phenomena. Studies of low-lying elementary excitations by inelastic light scattering offer insights on properties such energetics, interactions and spin magnetization. We review here recent light scattering results obtained from twodimensional (2D) quantum fluids in semiconductor heterostructures under extreme conditions of low temperature and large magnetic field, where the quantum Hall phases are archetypes of novel behaviors. We also consider recent light scattering experiments that have probed the excitation spectra of few-electron states in semiconductor quantum dots.

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The role of analogy in unraveling the fractional quantum Hall effect mystery

Jain

2003

Physica E: Low-dimensional Systems and Nanostructures

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Evidence of Landau Levels and Interactions in Low-Lying Excitations of Composite Fermions at1/3≤ν≤2/5

Cited by 38 publications

References 29 publications

Light scattering observations of spin reversal excitations in the fractional quantum Hall regime

Light scattering observations of spin reversal excitations in the fractional quantum Hall regime

Inelastic light scattering by low‐lying excitations of electrons in low‐dimensional semiconductors

The role of analogy in unraveling the fractional quantum Hall effect mystery

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