-
7
-
-
0042709764
-
-
edited by E. Akkermans, G. Montambeaux, and J.L. Pichard Elsevier, Amsterdam
-
See for example, A.H. MacDonald, in Les Houches, Session LXI, 1994, Physique Quantinque Mesoscopique, edited by E. Akkermans, G. Montambeaux, and J.L. Pichard (Elsevier, Amsterdam, 1995).
-
(1995)
Les Houches, Session LXI, 1994, Physique Quantinque Mesoscopique
-
-
MacDonald, A.H.1
-
15
-
-
6044241834
-
-
Lack of time and space limits the scope of this article to systems without internal boundaries which have a single outer edge. There is, appropriately, considerable interest in annular and equivalent geometries which have inner and outer edges carrying currents in opposite directions. These geometries allow the problem of scattering between edges by disorder, related to transport experiments, to be considered. For work on this problem see C.L. Kane and M.P.A. Fisher, Phys. Rev. Lett. 68, 1220 (1992);
-
(1992)
Phys. Rev. Lett.
, vol.68
, pp. 1220
-
-
Kane, C.L.1
Fisher, M.P.A.2
-
16
-
-
33846339040
-
-
Phys. Rev. B 46, 15233 (1992);
-
(1992)
Phys. Rev. B
, vol.46
, pp. 15233
-
-
-
20
-
-
20544440830
-
-
note
-
For negatively charged particles the angular momenta in the lowest Landau level are negative for a magnetic field in the ẑ direction. We choose a magnetic field in the -ẑ direction to have the convenience of positive angular momenta in the lowest Landau level.
-
-
-
-
21
-
-
0001191058
-
-
For recent work on 'multi-branch' systems see C.L. Kane and Matthew P.A. Fisher, Phys. Rev. B 51, 13449 (1995) and work cited therein.
-
(1995)
Phys. Rev. B
, vol.51
, pp. 13449
-
-
Kane, C.L.1
Fisher, M.P.A.2
-
26
-
-
35949007894
-
-
P.L. McEuen, E.B. Foxman, Jari Kinaret, U. Meirav, M.A. Kastner, Ned S. Wingreen, and S.J. Wind, Phys. Rev. B. 45, 11419 (1992);
-
(1992)
Phys. Rev. B.
, vol.45
, pp. 11419
-
-
McEuen, P.L.1
Foxman, E.B.2
Kinaret, J.3
Meirav, U.4
Kastner, M.A.5
Wingreen, N.S.6
Wind, S.J.7
-
31
-
-
20544447267
-
-
M. Ferconi, M.R. Geller, and G. Vignale, preprint (1995)
-
M. Ferconi, M.R. Geller, and G. Vignale, preprint (1995).
-
-
-
-
35
-
-
33947575347
-
-
N.F. Johnson, J. Phys. C 7, 965 (1995). Systems containing of order 100 or fewer electrons are generally referred to as quantum dots.
-
(1995)
J. Phys. C
, vol.7
, pp. 965
-
-
Johnson, N.F.1
-
36
-
-
0347088607
-
-
For experimental studies of quantum dots in strong magnetic fields see P.L. McEuen, E.B. Foxman, U. Meirav, M.A. Kastner, Y. Meir, Ned S. Wingreen, and S.J. Wind, Phys. Rev. Lett. 66, 1926 (1991); ;
-
(1991)
Phys. Rev. Lett.
, vol.66
, pp. 1926
-
-
McEuen, P.L.1
Foxman, E.B.2
Meirav, U.3
Kastner, M.A.4
Meir, Y.5
Wingreen, N.S.6
Wind, S.J.7
-
37
-
-
0000245774
-
-
E.B. Foxman, P. L. McEuen, U. Meirav, Ned S. Wingreen, Yigal Meir, Paul A. Belk, N. R. Belk, and M.A. Kastner, and S.J. Wind, Phys. Rev. B 47, 10020 (1993);
-
(1993)
Phys. Rev. B
, vol.47
, pp. 10020
-
-
Foxman, E.B.1
McEuen, P.L.2
Meirav, U.3
Wingreen, N.S.4
Meir, Y.5
Belk, P.A.6
Belk, N.R.7
Kastner, M.A.8
Wind, S.J.9
-
38
-
-
4244054083
-
-
R.C. Ashoori, H.L. Störmer, J.S. Weiner, L.N. Pfeiffer, S.J. Pearton, K.W. Baldwin, and K.W. West, Phys. Rev. Lett. 68, 3088 (1992);
-
(1992)
Phys. Rev. Lett.
, vol.68
, pp. 3088
-
-
Ashoori, R.C.1
Störmer, H.L.2
Weiner, J.S.3
Pfeiffer, L.N.4
Pearton, S.J.5
Baldwin, K.W.6
West, K.W.7
-
39
-
-
0001047663
-
-
R.C. Ashoori, H.L. Störmer, J.S. Weiner, L.N. Pfeiffer, K.W. Baldwin, and K.W. West, Phys. Rev. Lett. 71, 613 (1993);
-
(1993)
Phys. Rev. Lett.
, vol.71
, pp. 613
-
-
Ashoori, R.C.1
Störmer, H.L.2
Weiner, J.S.3
Pfeiffer, L.N.4
Baldwin, K.W.5
West, K.W.6
-
40
-
-
3743109858
-
-
O. Klein, C. de Chamon, D. Tang, D.M. Abusch-Magder, X.-G. Wen, and M.A. Kastner, Phys. Rev. Lett. 74, 785 (1995).
-
(1995)
Phys. Rev. Lett.
, vol.74
, pp. 785
-
-
Klein, O.1
De Chamon, C.2
Tang, D.3
Abusch-Magder, D.M.4
Wen, X.-G.5
Kastner, M.A.6
-
42
-
-
4244066663
-
-
For theoretical studies of quantum dot systems in strong magnetic fields see J. J. Palacios and P. Hawrylak, Phys. Rev. B 51, 1769 (1995);
-
(1995)
Phys. Rev. B
, vol.51
, pp. 1769
-
-
Palacios, J.J.1
Hawrylak, P.2
-
47
-
-
3743105436
-
-
S.-R. Eric Yang, A.H. MacDonald, and M.D. Johnson, Phys. Rev. Lett. 71, 3194, (1993).
-
(1993)
Phys. Rev. Lett.
, vol.71
, pp. 3194
-
-
Eric Yang, S.-R.1
MacDonald, A.H.2
Johnson, M.D.3
-
50
-
-
2842537123
-
-
[Sov. Phys. JETP 58, 210 (1983)];
-
(1983)
Sov. Phys. JETP
, vol.58
, pp. 210
-
-
-
52
-
-
2842535457
-
-
[Sov. Phys. JETP 69, 797 (1989)].
-
(1989)
Sov. Phys. JETP
, vol.69
, pp. 797
-
-
-
56
-
-
33744525760
-
-
The Hilbert space of the lowest Landau level is the Hilbert space of analytic functions: S.M. Girvin and T. Jach, Phys. Rev. B 29, 5617 (1984).
-
(1984)
Phys. Rev. B
, vol.29
, pp. 5617
-
-
Girvin, S.M.1
Jach, T.2
-
59
-
-
0002356311
-
-
NY
-
Michael Stone, Ann. Phys. (NY) 207, 38 (1991);
-
(1991)
Ann. Phys.
, vol.207
, pp. 38
-
-
Stone, M.1
-
63
-
-
20544478185
-
-
note
-
3. It then follows from analyticity that each difference coordinate to the third power is a factor of P[z].
-
-
-
-
64
-
-
0004100864
-
-
Addison-Wesley, Reading
-
See for example, George E. Andrews, The Theory of Partitions (Addison-Wesley, Reading, 1976). A famous theorem by Hardy and Ramanujan in the theory of partitions gives an exact formula expressing g(M) in terms of a finite sum.
-
(1976)
The Theory of Partitions
-
-
Andrews, G.E.1
-
65
-
-
84940043791
-
-
See for example, J. Sólym, Adv. Phys. 28, 201 (1979);
-
(1979)
Adv. Phys.
, vol.28
, pp. 201
-
-
Sólym, J.1
-
67
-
-
0003964324
-
-
Plenum, New York, Chapter 4; J. Voit, preprint (1995)
-
G.D. Mahan, Many-Particle Physics, (Plenum, New York, 1990) Chapter 4; J. Voit, preprint (1995).
-
(1990)
Many-Particle Physics
-
-
Mahan, G.D.1
-
71
-
-
20544453852
-
-
J.J. Palacios and A.H. MacDonald, preprint (1995) and work cited therein
-
J.J. Palacios and A.H. MacDonald, preprint (1995) and work cited therein.
-
-
-
-
72
-
-
12044257377
-
-
K. Moon, H. Yi, C.L. Kane, S.M. Girvin, M.P.A. Fisher, Phys. Rev. Lett. 71, 4381 (1993);
-
(1993)
Phys. Rev. Lett.
, vol.71
, pp. 4381
-
-
Moon, K.1
Yi, H.2
Kane, C.L.3
Girvin, S.M.4
Fisher, M.P.A.5
-
77
-
-
4243745881
-
-
K. Moon and S.M. Girvin, preprint (1995)
-
Yuval Oreg and Alexander M. Finkel'stein, Phys. Rev. Lett. 74, 3668 (1995); K. Moon and S.M. Girvin, preprint (1995);
-
(1995)
Phys. Rev. Lett.
, vol.74
, pp. 3668
-
-
Oreg, Y.1
Finkel'stein, A.M.2
|