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Collapse of Spin-Splitting in the Quantum Hall Effect | | M.M.Fogler
; B.I.Shklovskii
; | | Date: |
19 Jun 1995 | | Journal: | Phys. Rev. B 52, 17366 (1995). | | Subject: | cond-mat | | Affiliation: | University of Minnesota | | Abstract: | It is known experimentally that at not very large filling factors $
u$ the quantum Hall conductivity peaks corresponding to the same Landau level number $N$ and two different spin orientations are well separated. These peaks occur at half-integer filling factors $
u = 2 N + 1/2$ and $
u = 2 N + 3/2$ so that the distance between them $delta
u$ is unity. As $
u$ increases $delta
u$ shrinks. Near certain $N = N_c$ two peaks abruptly merge into a single peak at $
u = 2N + 1$. We argue that this collapse of the spin-splitting at low magnetic fields is attributed to the disorder-induced destruction of the exchange enhancement of the electron $g$-factor. We use the mean-field approach to show that in the limit of zero Zeeman energy $delta
u$ experiences a second-order phase transition as a function of the magnetic field. We give explicit expressions for $N_c$ in terms of a sample’s parameters. For example, we predict that for high-mobility heterostructures $N_c = 0.9 d n^{5/6} n_i^{-1/3},$ where $d$ is the spacer width, $n$ is the density of the two-dimensional electron gas, and $n_i$ is the two-dimensional density of randomly situated remote donors. | | Source: | arXiv, cond-mat/9506084 | | Services: | Forum | Review | PDF | Favorites | |
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