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Park, K.; Melik-Alaverdian, V.; Bonesteel, N. E.; Jain, J. K.

doi:10.1103/physrevb.58.r10167

Cited by 102 publications

(105 citation statements)

References 30 publications

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“…͑51͔͒ using the numerical results of Ref. 68, and we obtained extremely similar results. Stepping back a little from that analysis with the Chern-Simons treatment, one can pretend ignorance of any knowledge of the parameters including the effective mass m ‫ء‬ and the exchange contribution to −1 , and ask what values of them would give good agreement between the values of extracted from experiments.…”

Section: Summary and Discussionsupporting

confidence: 72%

“…For Eq. ͑51͒, Park et al 68 also reported the ground-state energy for polarized composite Fermi liquid to be very close to the unpolarized one quoted above,…”

Section: ͑44͒mentioning

confidence: 76%

“…68 was also done with zero thickness͒, and extracting the curvature d␦ c d͑⌬n 2 ͒ from experiments, we readily obtain the value of . This result does not depend on the Chern-Simons description of composite fermions.…”

Section: ͑44͒mentioning

confidence: 99%

“…͑45͒. In the zero-thickness approximation, Park et al 68 have estimated the value of E GS for spinunpolarized composite Fermi liquid to be E GS = − 0.4695 e 2 ⑀l n, ͑50͒…”

Section: ͑44͒mentioning

confidence: 99%

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Clausius-Clapeyron relations for first-order phase transitions in bilayer quantum Hall systems

et al. 2010

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A bilayer system of two-dimensional electron gases in a perpendicular magnetic field exhibits rich phenomena. At total filling factor tot = 1, as one increases the layer separation, the bilayer system goes from an interlayer-coherent exciton condensed state to an incoherent phase of, most likely, two decoupled compositefermion Fermi liquids. Many questions still remain as to the nature of the transition between these two phases. Recent experiments have demonstrated that spin plays an important role in this transition. Assuming that there is a direct first-order transition between the spin-polarized interlayer-coherent quantum Hall state and spin partially polarized composite Fermi-liquid state, we calculate the phase boundary ͑d / l͒ c as a function of parallel magnetic field, NMR/heat pulse, temperature, and density imbalance, and compare with experimental results. Remarkably good agreement is found between theory and various experiments.

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Section: Summary and Discussionsupporting

confidence: 72%

“…For Eq. ͑51͒, Park et al 68 also reported the ground-state energy for polarized composite Fermi liquid to be very close to the unpolarized one quoted above,…”

Section: ͑44͒mentioning

confidence: 76%

Section: ͑44͒mentioning

confidence: 99%

“…͑45͒. In the zero-thickness approximation, Park et al 68 have estimated the value of E GS for spinunpolarized composite Fermi liquid to be E GS = − 0.4695 e 2 ⑀l n, ͑50͒…”

Section: ͑44͒mentioning

confidence: 99%

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Clausius-Clapeyron relations for first-order phase transitions in bilayer quantum Hall systems

et al. 2010

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“…In recent years, with the advent of the composite fermion (CF) model [6,7], there has been a renewed interest in the ν = 5/2 state [8][9][10][11][12][13][14][15][16][17][18][19]. Moore and Read (MR) proposed a ground state of p-wave paired CF's [8].…”

mentioning

confidence: 99%

Experimental evidence for a spin-polarized ground state in the ν=5/2 fractional quantum Hall effect

Pan

Störmer

Tsui

et al. 2001

Solid State Communications

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We study the ν = 5/2 even-denominator fractional quantum Hall effect (FQHE) over a wide range of magnetic field in a heterojunction insulated gate field-effect transistor (HIGFET). The electron density can be tuned from n = 0 to 7.6 × 10 11 cm −2 with a peak mobility µ = 5.5 × 10 6 cm 2 /Vs. The ν = 5/2 state shows a strong minimum in diagonal resistance and a developing Hall plateau at magnetic fields (B) as high as 12.6T. The strength of the energy gap varies smoothly with B-field. We interpret these observations as strong evidence for a spin-polarized ground state at ν = 5/2. Eisenstein et al.[4] tested the spin-polarization of the ν = 5/2 state by tilted magnetic field experiments [5] in a traditional, fixed-density sample. While the orbital motion of the electrons and hence their correlation energy (E c ) is subject only to the perpendicular component of the magnetic (B) field, the Zeeman energy (E z ) depends on the total B-field. Varying angle and B-field, the specimen can be kept in the ν = 5/2 state while the Zeeman energy is raised. Such a procedure should leave a spinpolarized state intact, but should be detrimental to a spin-unpolarized state, once the Zeeman energy cost surmounts the gain in correlation energy. In the experiment the strength of the ν = 5/2 state decreased quickly upon tilting and the state disappeared totally at θ ∼ 50 • . This was taken as evidence of a spin-singlet state at ν = 5/2.In recent years, with the advent of the composite fermion (CF) model [6,7], there has been a renewed interest in the ν = 5/2 state [8][9][10][11][12][13][14][15][16][17][18][19]. Moore and Read (MR) proposed a ground state of p-wave paired CF's [8]. Unlike the HR state, the MR state is spin-polarized. It is now being argued that the earlier disappearance of the ν = 5/2 state under tilt may be the result of the compression of the wave function due to the in-plane component of the B-field. This reduction of the z-extend of the wave function affects electron correlation and is the cause for the gap collapse, rather than the suspected increase in Zeeman energy. Indeed, recently two tilted field experiments [20,21] showed that the added in-plane magnetic field not only destroys the FQHE at ν = 5/2 but also induces an electronic transport anisotropy. Theoretical modeling [22] suggests that this is due to a phase transition from the MR pairing state to an anisotropic state and unrelated to any spin-effect. Hence, the spinpolarization of the ν = 5/2 FQHE remains unresolved and there is presently little experimental input into the debate over the nature of the even-denominator FQHE state.Here we pursue the spin-polarization of the ν = 5/2 state in analogy to the tilted field experiments by investigating the competition between E c and E z . Rather than tuning their ratio in a fixed density specimen by tilt, we keep the B-field perpendicular to the 2DES and employ a variable density specimen. Since for a fixed filling factor, such as ν = 5/2, E c ∝ n 1/2 , whereas E z ∝ n, increasing electron density modifies the...

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Semi‐Classical Model of Strongly Correlated Coulomb Systems in Weak Magnetic Field

Ciftja¹

2011

Contrib. Plasma Phys.

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The integer and fractional quantum Hall effects are two remarkable macroscopic quantum phenomena occurring in two-dimensional strongly correlated electronic systems at high magnetic fields and low temperatures. Quantization of Hall resistivity in the very high magnetic field regime at partial filling of the lowest Landau level indicates the stabilization of an electronic liquid quantum Hall phase of matter. Other interesting phases that differ from the quantum Hall phases take prominence in weaker magnetic fields when many more Landau levels are filled. These states manifest anisotropic magneto-transport properties and, under certain conditions, appear to mimic charge density waves and/or liquid crystalline phases. One way to understand such a behavior has been in terms of effective interaction potentials confined to the highest Landau level partially filled with electrons. In this work we show that, for weak magnetic fields, such a quantum treatment of these strongly correlated Coulomb systems resembles a semi-classical model of rotating electrons in which the time-averaged interaction potential can be expressed solely in terms of guiding center coordinates. We discuss how the features of this semi-classical effective potential may affect the stability of various strongly correlated electronic phases in the weak magnetic field regime.

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Possibility ofp-wave pairing of composite fermions atν=12

Cited by 102 publications

References 30 publications

Clausius-Clapeyron relations for first-order phase transitions in bilayer quantum Hall systems

Clausius-Clapeyron relations for first-order phase transitions in bilayer quantum Hall systems

Experimental evidence for a spin-polarized ground state in the ν=5/2 fractional quantum Hall effect

Semi‐Classical Model of Strongly Correlated Coulomb Systems in Weak Magnetic Field

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