Fractional Quantum Hall Effect of Composite Fermions

Pan, W.; Störmer, H. L.; Tsui, D. C.; Pfeiffer, L. N.; Baldwin, K. W.; West, K. W.

doi:10.1103/physrevlett.90.016801

Cited by 243 publications

(378 citation statements)

References 19 publications

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“…But as the tilted angle increases, the UCDW takes energetically over the paired Hall state as the ground state, which transforms the incompressible state to the compressible state. Recent experiment by Pan et al [15] supports their suggestion.…”

supporting

confidence: 70%

Laughlin-type wave function of two-dimensional electrons in a tilted magnetic field

Yang

2002

Phys. Rev. B

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We study the fractional quantum Hall states in the tilted magnetic field. A many-particle wavefunction of the ground state , which is similar to that of Laughlin's, is constructed in the Landau gauge. We show that in the limit of thermodynamics, the concept of composite fermion is still valid in presence of the in-plane field. PACS number(s): 73.20.Dx, 73.40.Hm, 73.40.Kp, 73.50.Jt Recently, two-dimensional electron system (2DES) in tilted magnetic field has 1

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supporting

confidence: 70%

Laughlin-type wave function of two-dimensional electrons in a tilted magnetic field

Yang

2002

Phys. Rev. B

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“…Pan et al 1 recently (and Goldman and Shayegan 2 a little earlier) observed fractional quantum Hall (FQH) effect 3,4 in a two-dimensional electron gas at novel filling fractions ν of the lowest Landau level (LL 0 ). The new FQH states are found to be spin-polarized and occur between the neighboring ν = 1 3 and 2 5 states of the Jain sequence, 5 corresponding to one and two completely filled composite fermion (CF) LL's, respectively.…”

Section: Introductionmentioning

confidence: 99%

“…Therefore, we take advantage of the knowledge 8,21,22,23 of the dominant features of the pseudopotential V QE (R) of the QE-QE interaction (i.e., the QE-QE interaction energy V QE as a function of relative pair angular momentum R), and diagonalize the (much smaller) interaction Hamiltonian of the N -QE systems. This procedure was earlier shown 21 to accurately reproduce the low-energy N e -electron spectra at filling factors ν between 1 3 and 2 5 . It was also used in a similar, many-QE calculation by Lee et al 23 (who, however, have not found support for QE clustering).…”

Section: Introductionmentioning

confidence: 99%

Fractional quantum Hall states of clustered composite fermions

2004

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The energy spectra and wavefunctions of up to 14 interacting quasielectrons (QE's) in the Laughlin ν = 1 3 fractional quantum Hall (FQH) state are investigated using exact numerical diagonalization. It is shown that at sufficiently high density the QE's form pairs or larger clusters. This behavior, opposite to Laughlin correlations, invalidates the (sometimes invoked) reapplication of the composite fermion picture to the individual QE's. The series of finite-size incompressible ground states are identified at the QE filling factors νQE = 1 2 , 1 3 , 2 3 , corresponding to the electron fillings ν = 3 8 , 4 11 , 5 13 . The equivalent quasihole (QH) states occur at νQH = 1 4 , 1 5 , 2 7 , corresponding to ν = 3 10 , 4 13 , 5 17 . All these six novel FQH states were recently discovered experimentally. Detailed analysis indicates that QE or QH correlations in these states are different from those of well-known FQH electron states (e.g., Laughlin or Moore-Read states), leaving the origin of their incompressibility uncertain. Halperin's idea of Laughlin states of QP pairs is also explored, but is does not seem adequate.

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“…In conjunction with determinations of CM transitions the light scattering measurements of spin excitations represent unique experimental tests of composite fermion theory. These large residual CF interactions are possibly linked to those that manifest in condensation of composite fermions into higher order liquid states [31,32,33].…”

mentioning

confidence: 99%

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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Fractional Quantum Hall Effect of Composite Fermions

Cited by 243 publications

References 19 publications

Laughlin-type wave function of two-dimensional electrons in a tilted magnetic field

Laughlin-type wave function of two-dimensional electrons in a tilted magnetic field

Fractional quantum Hall states of clustered composite fermions

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

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