Pulsed-magnetic-field measurements of hall potential oscillations in (formula presented) within the quantum hall regime

Physical Review B - Condensed Matter and Materials Physics

Volumn 59, Issue 16, 1999, Pages R10417-R10420

  Kushch, N D ^d   Nam, M S ^a   Blundell, S J ^a  

^a UNIVERSITY OF OXFORD   (United Kingdom)

^b LOS ALAMOS NATIONAL LABORATORY   (United States)

^c WALTHER MEISSNER INSTITUT   (Germany)

^d INSTITUTE OF PROBLEMS OF CHEMICAL PHYSICS   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000301365     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.59.R10417     Document Type: Article

References (37)

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16. The circulating current occurs because of Maxwell’s third equation, (Formula presented).
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21. Due to its inductive nature, the size of the sample current is determined by the added serial resistance experienced around a closed loop. The spatial anisotropy of the in-plane resistivity due to the contribution of the Q1D states therefore does not introduce a dependence of the measured Hall voltage on the exact positioning of the edge contact.
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24. Detailed de Haas–van Alphen studies of (Formula presented) have shown that this salt is only fully transformed into the high-field state at fields of (Formula presented) above its kink transition (Ref. 3). Assuming the same transition interval for (Formula presented), we can conclude that the high-field state is fully established above (Formula presented).
25. Surface conduction only bypasses bulk conduction at fields where (Formula presented) lies between two Landau levels. At these fields, the lifetime of the edge states is greatly enhanced due to the nonavailability of states in the interior of the sample into which they can scatter. This leads to a suppression of the maxima in (Formula presented) on lowering the temperature and to an eventual reversal of the oscillation phase (Ref. 10).
26. The techniques described below can be used to show that the (Formula presented) characteristics of the sample are ohmic at low magnetic fields, justifying this renormalization.
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29. We have assumed an effective mass of (Formula presented) for the fundamental frequency of the Q2D hole pocket (Refs. 2, 10, and 25).
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31. An equivalent way of considering the restoration of ohmic behavior in Fig. 33(b) is to recall that the mechanism associated with the saturation of the circulating current depends on the sample being within the quantum Hall regime (Refs. 9 and 10). An increase in temperature will lead to a degradation of the QHE (Ref. 27). The proportionality of I and V at (Formula presented) suggests that the QHE is already quenched at this temperature [Fig. 33(b)].
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34. Observations of the MB (Formula presented) frequency in pulsed magnetic fields have so far been restricted to inductive measurements of the susceptibility, carried out in the (Formula presented) salt (Ref. 28). Susceptibility measurements are far more sensitive with respect to the detection of high frequency oscillations than transport measurements, owing to the direct proportionality of their oscillation amplitude to the square of the frequency (Ref. 3). In the low- field state, the (Formula presented) frequency has already been observed in both the (Formula presented) and Tl salts (Ref. 30).
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