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85039014336
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This assumes that the ratio of the maximum nuclear Overhauser fields in bulk GaAs and in narrow wells scales as (Formula presented). Paget et al. (Ref. 22) calculated the maximum Overhauser fields in bulk GaAs to be 5.3 T, so that for narrow wells with g* = 0.053, this simple scaling argument gives a maximum Overhauser field of (Formula presented) But one should also take into account the fact that Overhauser fields in narrow wells also increase as a result of higher electron densities. We take this effect into account later in the section and arrive at a slightly larger estimate of (Formula presented) for 7.5-nm quantum wells
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This assumes that the ratio of the maximum nuclear Overhauser fields in bulk GaAs and in narrow wells scales as (Formula presented). Paget et al. (Ref. 22) calculated the maximum Overhauser fields in bulk GaAs to be 5.3 T, so that for narrow wells with g* = 0.053, this simple scaling argument gives a maximum Overhauser field of (Formula presented) But one should also take into account the fact that Overhauser fields in narrow wells also increase as a result of higher electron densities. We take this effect into account later in the section and arrive at a slightly larger estimate of (Formula presented) for 7.5-nm quantum wells.
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The chosen variational form was shown by Falko and Iordanskii to satisfy the saddle-point equation for θ when the Zeeman field changes sign abruptly at x = 0. We have chosen the same form for mathematical convenience. Because in our model the Zeeman field changes sign smoothly, we find the optimal value of β to be smaller. Other variational forms should yield quantitatively similar estimates for the domain-wall width
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The chosen variational form was shown by Falko and Iordanskii to satisfy the saddle-point equation for θ when the Zeeman field changes sign abruptly at x = 0. We have chosen the same form for mathematical convenience. Because in our model the Zeeman field changes sign smoothly, we find the optimal value of β to be smaller. Other variational forms should yield quantitatively similar estimates for the domain-wall width.
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26
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85039008253
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2 contribute to higher-order derivative terms proportional to (Formula presented) that we drop in our effective action since (Formula presented) is massive
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2 contribute to higher-order derivative terms proportional to (Formula presented) that we drop in our effective action since (Formula presented) is massive.
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27
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85039031408
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1 times will be on the same scale as that evaluated in Eq. (9) for a linear domain wall
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1 times will be on the same scale as that evaluated in Eq. (9) for a linear domain wall.
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39
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8544249434
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[JETP Lett. 56, 253 (1992)].
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45
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85038982932
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2/εl ∼ 100 K
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2/εl ∼ 100 K.
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47
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4243503951
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For a dilute system of colliding solitons, the calculation for the noise can still be done on the lines of the following reference, which deals with kink-antikink dynamics in the 1D Ising model in a transverse field
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For a dilute system of colliding solitons, the calculation for the noise can still be done on the lines of the following reference, which deals with kink-antikink dynamics in the 1D Ising model in a transverse field: S. Sachdev and A. P. Young, Phys. Rev. Lett. 78, 2220 (1997).
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We thank J. P. Eisenstein for suggesting this
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We thank J. P. Eisenstein for suggesting this.
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53
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0006255976
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