Collapse of the Even-Denominator Fractional Quantum Hall Effect in Tilted Fields

Eisenstein, J. P.; Willett, R. L.; Störmer, H. L.; Tsui, D. C.; Gossard, A. C.; English, J. H.

doi:10.1103/physrevlett.61.997

Cited by 197 publications

(159 citation statements)

References 15 publications

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“…The total magnetic field in that case points along an angle θ with respect to the vertical axis, which we refer to as the tilt angle. This technique has been immensely popular in experiment [22][23][24][25][26][27][28][29][30][31] , e.g. as a probe for spin polarization: to the lowest order, the only effect of parallel field is to increase the Zeeman coupling, therefore it distinguishes a polarized ground state from an unpolarized one.…”

Section: Introductionmentioning

confidence: 99%

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Fractional quantum Hall effect in a tilted magnetic field

Papić

2013

Phys. Rev. B

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We discuss the orbital effect of a tilted magnetic field on the quantum Hall effect in parabolic quantum wells. Many-body states realized at the fractional 1/3 and 1/2 filling of the second electronic subband are studied using finite-size exact diagonalization. In both cases, we obtain the phase diagram consisting of a fractional quantum Hall fluid phase that persists for moderate tilts, and eventually undergoes a direct transition to the stripe phase. It is shown that tilting of the field probes the geometrical degree of freedom of fractional quantum Hall fluids, and can be partly related to the effect of band-mass anisotropy.

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Section: Introductionmentioning

confidence: 99%

“…We consider the so-called "tilted field" setup 22 where, in addition to the perpendicular component of the magnetic field along the z-axis, a parallel component of the field is introduced along x-axis. The total magnetic field in that case points along an angle θ with respect to the vertical axis, which we refer to as the tilt angle.…”

Section: Introductionmentioning

confidence: 99%

Fractional quantum Hall effect in a tilted magnetic field

Papić

2013

Phys. Rev. B

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“…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.…”

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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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“…In view of the verified /4 fractional charge, a polarized state would indirectly provide strong support for the non-abelian character of the 5 ⁄2 quasiparticles. First experiments on the spin polarization examined the behavior of the 5 ⁄2 state when tilting the sample with respect to the magnetic field [150]. This selectively enhances the Zeeman energy relative to the Coulomb energy since the latter only depends on the perpendicular magnetic field component.…”

Section: Is the 5 ⁄2 State Indeed Home To Non-abelian Anyons?mentioning

confidence: 99%

Spin and Charge Ordering in the Quantum Hall Regime

Frieß

2016

Springer Theses

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Collapse of the Even-Denominator Fractional Quantum Hall Effect in Tilted Fields

Cited by 197 publications

References 15 publications

Fractional quantum Hall effect in a tilted magnetic field

Fractional quantum Hall effect in a tilted magnetic field

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

Spin and Charge Ordering in the Quantum Hall Regime

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