Abstract
We present a microscopic analysis of spin textures in quantum dots in the presence of high magnetic fields. For filling factor close to 1. our main result is a set of analytical many-body wave-functions of spin excitations which describe all of the necessary quantum numbers. These states present topological structure of different spin textures, some of which are located at the bulk, and others at the edge. Bulk charged skyrmions can be expressed as a condensate of spin excitons interacting via a two-body repulsive interaction. The size of the skyrmion is given by the number of excitons present in the condensate. Edge spin textures turn out to be non interacting bosons located at the boundary of the dot. A branch of these excitations starts with lower energy than the branch of polarized charge edge excitations. When the number of electrons is of the order of a few tenths, edge spin textures are responsible for the edge reconstruction of the droplet.
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References
A. Usher, R. J. Nicholas, J. J. Harris and C. T. Foxon, Phys. Rev. B 41 1129 (1990).
S. L. Sondhi, A. Karlhede, S. A. Kivelson and E. H. Rezayi, Phys. Rev. B 47 16419 (1993).
K. Moon, H. Mori, Kun Yang, S. M. Girvin, A. H. MacDonald, L. Zheng, D. Yoshioka and Shou-Cheng Zhang, Phys. Rev. B 51 5138 (1995).
H. A. Fertig, L. Brey, R. Cote and A. H. MacDonald, Phys. Rev. B 50 11018 (1994).
L. Brey, H. A. Fertig, R. Cote and A. H. MacDonald, Phys. Rev. Lett., 75 2562 (1995).
R. Tycko, S. E. Barret, G. Dabbagh, L. N. Pfeiffer and K. W. West, Science 286 1460 (1995);
S. E. Barret, G. Dabbagh, L. N. Pfeiffer, K. W. West and R. Tycko, Phys. Rev. Lett., 74 5112 (1994
A. Schmeller, J. P. Eisenstein, L. N. Pfeiffer and K. W. West, Phys. Rev. Lett., 75 4290 (1995).
E. H. Aifer, B. B. Goldberg and D. A. Broido, Phys. Rev. Lett., 76 680 (1996).
D. K. Maude, M. Potemski, J. C. Portal, M. Henini, L. Eaves, G. Hill and M. A. Pate, to be published.
V. Bavot, E. Grivei, S. Melinte, M.B. Santos and M. Shayegan, Phys. Rev. Lett. 76 4584 (1996).
T. Schmidt, M. Tewordt, R. H. Blick, R. J. Haug, D. Pfannkuche, K. v. Klitzing, A. Foster and H. Luth, Phys. Rev. B 51 5570 (1995).
O. Klein, C. de C. Chamon, D. Tang, D. M. Abusch-Magder, X.-G. Wen, M. A. Kastner and S. J. Wind, Phys. Rev. Lett. 74, 785 (1995).
O. Klein, D. Goldhaber-Gordon, C. de C Chamon and M. Kastner, Phys. Rev. B 53, R4221 (1996).
N. C. van der Vaart, L. P. Kouwenhoven, M. P. de Ruyter van Steveninck, Y. V. Nazarov, C. J. P. M. Hartmans and C. T. Foxon, Phys. Rev. B 55, 9746 (1997).
R. C. Ashoori, H. L. Stormer, J. S. Weiner, L. N. Pfeiffer, K. W. Balswin and K. W. West, Phys. Rev. Lett. 71, 613 (1993).
R. C. Ashoori, Nature 379, 413 (1996).
C. Nayak and F. Wilczek, Phys. Rev. Lett., 77, 4418 (1996).
J. H. Oaknin, L. Martin-Moreno and C. Tejedor, Phys. Rev. B, 54, 16850 (1996);
J. H. Oaknin, L. Martin-Moreno and C. Tejedor, erratum 55, 15943 (1997).
C. de C. Chamon and X. G. Wen, Phys. Rev. B 49, 8227 (1994).
J. H. Oaknin, L. Martin-Moreno, J. J. Palacios and C. Tejedor, Phys. Rev. Lett. 74, 5120 (1995).
The effect of such projector reduces with increasing N.
J. H. Oaknin, B. Paredes, L. Martin-Moreno and C. Tejedor, to be published.
J. J. Palacios, L. Martin-Moreno, G. Chiappe, E. Louis and C. Tejedor, Phys. Rev. B 50, 5760 (1994).
J. J. Palacios, D. Yoshioka and A. H. MacDonald, Phys. Rev. B 54, R2296 (1996).
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Oaknin, J.H., Paredes, B., Tejedor, C., Martín-Moreno, L. (1998). Spin Textures in Quantum Dots. In: García, N., Nieto-Vesperinas, M., Rohrer, H. (eds) Nanoscale Science and Technology. NATO ASI Series, vol 348. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5024-8_11
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DOI: https://doi.org/10.1007/978-94-011-5024-8_11
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