NMR study of the electron spin polarization in the fractional quantum Hall effect of a single quantum well: Spectroscopic evidence for domain formation

Physical Review B - Condensed Matter and Materials Physics

Volumn 70, Issue 7, 2004, Pages

  Stern, O ^a,b   Freytag, N ^a,b   Fay, A ^a   Dietsche, W ^a   Smet, J H ^a   Von Klitzing, K ^a   Schuh, D ^c   Wegscheider, W ^c  

^a MAX PLANCK INSTITUT FÜR FESTKÖRPERFORSCHUNG   (Germany)

^b CNRS   (France)

^c WALTER SCHOTTKY INSTITUT   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; ELECTRIC CURRENT; ELECTRON; FRACTIONATION; NUCLEAR MAGNETIC RESONANCE; PHASE TRANSITION; POLARIZATION;

EID: 19544394242     PISSN: 01631829     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevB.70.075318     Document Type: Article

References (65)

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56. At some filling factors, where the equilibration times are very long (e.g., in the HLR regime), a full sweep may take a few hours in order to maintain a quasistatic situation.
57. S,max(n)→0, which results most probably from a change in the electron probability density across the QW at very low densities. However, in the regime of densities that we are interested in, this "calibration curve" holds very well.
58. In our previous work, only a negative hyperfine field was created by the nuclei, regardless of the sweep direction (Ref. 7). This situation differs from the results obtained in the rest of our samples.
59. N depends on the filling factor (Ref. 37).
60. In a previous work, we reported four resonance lines for the RDNMR signal at the v=2/3 spin transition in the HLR regime (Ref. 16). We have studied this case further by comparing a sample under stress with a sample that was mounted so it does not experience stress. The former sample showed, in addition to the two resonance lines, also a quadrupole splitting of the lines. Because the quadrupole splitting is of the same order of magnitude as the separation between the two resonance lines, a situation might occur, where two lines overlap. The result will be four lines in the spectrum. This seems to be the cause for the anomalous fourfold splitting previously reported.
61. 2 where the maximum shift corresponds to the electrons in the center of the QW (Refs. 23, 32, and 38).
62. Even though there is an increase in the nuclear spin temperature whenever we change their magnetization, it does not affect the electronic system since these two systems are very weakly coupled. Therefore, we can safely say that the electronic system is being measured isothermally.
63. With our technique, we do not observe any features at P = 1/2 for v=2/3 as measured by Kukushkin et al. (Ref. 33). We note that they use a completely different sample, i.e., a single-sided heterostucture with a much lower density in which the spin phase transitions occur at lower magnetic fields (B≈2.3 T at v=2/3). Furthermore, since our technique is not a thermodynamic measurement, it is not sensitive to a global polarization value.
64. 2 is the effective magnetic length and λ depends on the QW thickness. L. Hoeppel et al. (unpublished).
65. Previous measurements done around v=1/2 show that the NMR behavior at v>1/2 and v<1/2 is quite complex (Ref. 35). It depends on parameters such as temperature, tilt-angle, magnetic field, etc. It is not the intention of this paper to study this situation in detail.