The Quantum Hall Effect in Open Conductors

Semiconductors and Semimetals

Volumn 35, Issue C, 1992, Pages 191-277

  Buttiker M ^a  

^a IBM T J WATSON RESEARCH CENTER   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

OPEN CONDUCTOR;

QUANTUM HALL EFFECT;

EID: 77957659045     PISSN: 00808784     EISSN: None     Source Type: Book Series    
DOI: 10.1016/S0080-8784(08)62394-7     Document Type: Article

References (184)

1. von Klitzing, K., Dorda, G., Pepper, M., Phys. Rev. Lett., 45, 1988, 494.
2. Ando, T., Fowler, A.B., Stern, F., Rev. Mod. Physics, 54, 1982, 437.
3. Laughlin, R.B., Phys. Rev., B23, 1981, 5632.
4. Halperin, B.J., Phys. Rev., B25, 1982, 2185.
5. Niu, Q., Thouless, D.J., J. Phys., A17, 1984, 2453.
6. Niu, Q., Thouless, D.J., Phys. Rev., B35, 1987, 2188.
7. Avron, J.E., Raveh, A., Zur, B., Rev. Mod. Phys., 60, 1988, 873.
8. Büttiker, M., Phys. Rev., 838, 1988, 9375.
9. van Wees, B.J., Willems, E.M.M., Harmans, C.J.P.M., Beenakker, C.W.J., van Houten, H., Williamson, J.G., Foxon, C.T., Harris, J.J., Phys. Rev. Lett., 62, 1989, 1181.
10. Komiyama, S., Hirai, H., Sasa, S., Hiyamizu, S., Phys. Rev., B40, 1989, 12566.
11. Halperin, B.J., Helveta Physica Acta, 56, 1983, 75.
12. von Klitzing, K., Rev. of Mod. Phys., 58, 1986, 519.
13. Washburn, S., Fowler, A.B., Schmid, H., Kern, D., Phys. Rev. Lett., 61, 1988, 2801.
14. Haug, R.J., MacDonald, A.H., Streda, P., von Klitzing, K., Phys. Rev. Lett., 61, 1988, 2797.
15. Syphers, D.A., Stiles, P.J., Phys. Rev., B32, 1985, 6620.
16. Komiyama, S., Hirai, H., Sasa, S., Fujii, F., Solid State Commun., 73, 1990, 91.
17. van Wees, B.J., Willems, E.M.M., Kouwenhoven, L.P., Harmans, C.J.P.M., Williamson, H.G., Foxon, C.T., Harris, J.J., Phys. Rev., B39, 1989, 8066.
18. Alphenaar, B.W., McEuen, P.L., Wheeler, R.G., Sacks, R.N., Phys. Rev. Lett., 64, 1990, 677.
19. Haug, R.J., von Klitzing, K., Europhysics Lett., 10, 1989, 489.
20. Streda, P., Kucera, J., MacDonald, A.H., Phys. Rev. Lett., 59, 1987, 1973.
21. Büttiker, M., Imry, Y., Landauer, R., Pinhas, S., Phys. Rev., B31, 1985, 6207.
22. Büttiker, M., Phys. Rev. Lett., 57, 1986, 1761.
23. Jain, J.K., Kivelson, S.A., Phys. Rev. Lett., 60, 1988, 1542.
24. Büttiker, M., Phys. Rev. Lett., 62, 1989, 229.
25. Streda, P., J. Phys., C1, 1989, L12025.
26. Sivan, U., Imry, Y., Hartzstein, C., Phys. Rev., B39, 1989, 1242.
27. Haug, R.J., Kucera, J., Streda, P., von Klitzing, K., Phys. Rev., B39, 1989, 10892.
28. Anderson, P.W., Thouless, D.J., Abrahams, E., Fisher, D.S., Phys. Rev., B22, 1980, 3519.
29. Economou, E.N., Soukoulis, C.M., Phys. Rev. Lett., 46, 1981, 618.
30. Fisher, D.S., Lee, P.A., Phys. Rev., B23, 1981, 6851.
31. Langreth, D.C., Abrahams, E., Phys. Rev., B24, 1981, 2978.
32. Azbel, M.Ya., J. Phys., C14, 1981, L225.
33. Landauer, R., IBM J. Res. Dev., 1, 1957, 223.
34. Landauer, R., Phil. Mag., 21, 1970, 863.
35. Büttiker, M., Imry, Y., Landauer, R., Phys. Lett., A96, 1983, 365.
36. Gefen, Y., Imry, Y., Azbel, M.Ya., Phys. Rev. Lett., 52, 1984, 129.
37. Büttiker, M., Imry, Y., Ya Azbel, M., Phys. Rev., A30, 1984, 1982.
38. Büttiker, M., Phys. Rev., B32, 1985, 1846.
39. Büttiker, M., (eds.) New Techniques and Ideas in Quantum Measurement Theory, Annals of the New York Academy of Sciences, 480, 1986, 194 For an extended account, see.
40. Engquist, H.L., Anderson, P.W., Phys. Rev., B24, 1981, 1151.
41. Büttiker, M., Phys. Rev., B33, 1986, 3020.
42. Büttiker, M., IBM J. Res. Develop., 32, 1988, 63.
43. Cheung, H.F., Gefen, Y., Riedel, E.K., IBM J. Res. Develop., 32, 1988, 359.
44. Sokolovski, D., Phys. Lett., A123, 1988, 381.
45. Beenakker, C.W.J., van Houten, H., Phys. Rev., B39, 1989, 10445.
46. Datta, S., Phys. Rev., B40, 1989, 5830.
47. DAmato, J.L., Pastawski, H.M., Phys. Rev., 41, 1990, 7411.
48. Benoit, A.D., Washburn, S., Umbach, C.P., Laibowitz, R.P., Webb, R.A., Phys. Rev. Lett., 57, 1986, 1765.
49. Büttiker, M., IBM J. Res. Develop., 32, 1988, 317.
50. Casimir, H.B.G., Rev. Mod. Phys., 17, 1945, 343.
51. Imry, Y., Grinstein, G., Mazenko, G., (eds.) Directions of Condensed Matter Physics, 1, 1986, World Scientific Publishing Co., Singapore, 101.
52. Webb, R.A., Washburn, S., Umbach, C., Laibowitz, R.A., Phys. Rev. Lett., 54, 1985, 2996.
53. Stone, A.D., Phys. Rev. Lett., 54, 1985, 2692.
54. Washburn, S., Webb, R.A., Advances in Physics, 35, 1986, 375.
55. Aronov, A.G., Sharvin, Yu.V., Rev. Mod. Phys., 59, 1987, 755.
56. DiVincenzo, D.P., Kane, C.L., Phys. Rev., B38, 1988, 3006.
57. van Houten, H., Beenakker, C.W.J., Williamson, J.G., Broekaart, M.E.I., van Loosdrecht, P.H.M., van Wees, B.J., Moij, J.E., Foxon, C.T., Harris, J.J., Phys. Rev., B39, 1989, 8556.
58. Komiyama, S., Hirai, H., Sasa, S., Fujii, F., J. Phys. Soc. Japan, 58, 1990, 4086.
59. Surface Science, 229, 1990, 224.
60. Büttiker, M., Phys. Rev., B35, 1987, 4123.
61. Stone, A.D., Szafer, A., IBM J. Res. Deoelop., 32, 1988, 384.
62. Baranger, H.U., Stone, A.D., Phys. Rev., B40, 1989, 8169.
63. Thouless, D.J., Phys. Rev. Lett., 47, 1981, 972.
64. Landauer, R., Z. Phys., 68, 1987, 217.
65. Landauer, R., van Haeringan, W., Lenstra, D., (eds.) Analogies in Optics and Microelectronics, 1990, Kluwer Academic Publishers, Dordrecht, Federal Republic of Germany, 243.
66. Levinson, I.B., Sou. Phys. JETP, 68, 1989, 68.
67. Roukes, M.L., Scherer, A., Allen, S.J. Jr., Craighead, H.G., Ruthen, R.M., Beebe, E.D., Harbison, J.P., Phys. Rev. Lett., 59, 1987, 3011.
68. Takagaki, Y., Gamo, K., Namba, S., Ishida, S., Takaoka, S., Murase, K., Ishibashi, K., Aoyagi, Y., Solid State Communic., 68, 1988, 1051.
69. Takagaki, Y., Gamo, K., Namba, S., Takaoka, S., Murase, K., Ishida, S., Solid State Communic., 71, 1989, 809.
70. Ford, C.J.B., Washburn, S., Büttiker, M., Knoedler, C.M., Hong, J.M., Phys. Rev. Lett., 62, 1989, 2724.
71. Ford, C.J.B., Washburn, S., Büttiker, M., Knoedler, C.M., Hong, J.M., Surface Science, 229, 1990, 298.
72. Chang, A.M., Chang, T.Y., Baranger, H.U., Phys. Rev. Lett., 63, 1989, 2268.
73. Kirczenow, G., Phys. Rev. Lett., 62, 1989, 2993.
74. Avishai, Y., Band, Y.B., Phys. Rev. Lett., 62, 1989, 2527.
75. Baranger, H.U., Stone, A.D., Phys. Rev. Lett., 63, 1989, 414.
76. Beenakker, C.W.J., van Houten, H., Phys. Rev. Lett., 63, 1989, 1857.
77. Roukes, M.L., Thorton, T.J., Scherer, A., Van der Gaag, B.P., Chamberlain, J.M., Eaves, L., Portal, J.C., (eds.) Electronic Properties of Multilayers and Low Dimensional Structures, 1990, Plenum, New York, 95.
78. Ravenhall, D.G., Wyld, H.W., Schult, R.L., Phys. Rev. Lett., 62, 1989, 1780.
79. Kirczenow, G., Solid State Commun., 71, 1989, 469.
80. Thornton, T.J., Pepper, M., Ahmed, H., Andrews, D., Davies, G.J., Phys. Rev. Lett., 56, 1986, 1198.
81. Wharam, D.A., Thornton, T.J., Newbury, R., Pepper, M., Ahmed, H., Frost, J.E.F., Hasko, D.G., Peacock, D.C., Ritchie, D.A., Jones, G.A.C., J. Phys., C21, 1988, L209.
82. van Wees, B.J., van Houten, H., Beenakker, C.W.J., Williamson, J.G., Kouwenhouven, L.P., van der Marel, D., Foxon, C.T., Phys. Rev. Lett., 60, 1988, 848.
83. Smith, C.G., Pepper, M., Ahmed, H., Frost, J.E.F., Hasko, D.G., Newbury, R., Peacock, D.C., Ritchie, D.A., Jones, G.A.C., J. Phys. C, 1, 1989, 9035.
84. N. Garcia, private communication (1987).
85. van der Marel, D., Haanappel, E.G., Phys. Rev., B39, 1989, 7811.
86. Johnston, R., Schweitzer, L., J. Phys., C21, 1988, L861.
87. Kirczenow, G., Solid State Commun., 68, 1988, 715.
88. Kirczenow, G., Phys. Rev., B39, 1989, 10452.
89. Szafer, A., Stone, A.D., Phys. Rev. Lett., 62, 1989, 300.
90. Escapa, L., Garcia, N., J. Phys., C1, 1989, 2289.
91. Avishai, Y., Band, Y.B., Phys. Rev., B62, 1989, 2527.
92. Tekman, E., Ciraci, S., Phys. Rev., B39, 1989, 8772.
93. Phys. Rev., B43, 1991, 7145.
94. Song, He, Das Sarma, S., Phys. Rev., B40, 1989, 3379.
95. Glazman, L.I., Lesovik, G.B., Khmel'nitskii, D.E., Shekter, R.I., JETF Lett., 48, 1988, 239.
96. Kawabata, A., J. Phys. Soc. Jap., 58, 1989, 372.
97. Yacoby, A., Imry, Y., Phys. Rev., B41, 1990, 5341.
98. Kumar, A., Laux, S.E., Stern, F., Appl. Phys. Lett., 54, 1987, 1271.
99. Davies, J.A., Nixon, J.A., Phys. Rev., B39, 1989, 3423.
100. Lang, N.D., Phys. Rev., B37, 1988, 10395.
101. Lang, N.D., Yacoby, A., Imry, Y., Phys. Rev. Lett., 63, 1989, 1499.
102. Connor, J.N.L., Mol. Phys., 15, 1968, 37.
103. Miller, W.M., J. Chem. Phys., 48, 1968, 1651.
104. Fertig, H.A., Halperin, B.I., Phys. Rev., B36, 1987, 7969.
105. Büttiker, M., Phys. Rev., B41, 1990, 7906.
106. Landauer, R., J. Phys. C, 1, 1989, 8099.
107. van Houten, H., Beenakker, C.W.J., Read, M.A., Kirk, W.P., (eds.) Nanostructure Physics and Fabrication, 1989, Academic Press, Boston, 347.
108. van Houten, H., Beenakker, C.W.J., van Loosdrecht, P.H.M., Thornton, T.J., Ahmed, H., Pepper, M., Foxon, C.T., Harris, J.J., Phys. Rev., B37, 1988, 8534.
109. Kirtely, J.R., Washburn, S., Brady, M.J., Phys. Rev. Lett., 60, 1988, 1546.
110. Chu, C.S., Sorbello, R.S., Phys. Rev., B40, 1989, 3409.
111. Chu, C.S., Sorbello, R.S., Bull. Am. Phys. Soc., 35, 1990, 642.
112. Büttiker, M., Phys. Rev., B40, 1989, 3409.
113. van Haeringen, W., Lenstra, D., (eds.) An extended account of this work is given in Analogies in Optics and Microelectronics, 1990, Kluwer Academic Publishers, Dordrecht, Federal Republic of Germany, 105.
114. Webb, R.A., Washburn, S., Physics Today, 41, 1988, 46.
115. Baranger, H.U., Stone, A.D., DiVincenzo, D.P., Phys. Rev. B, 37, 1988, 6521.
116. Kane, C.L., Lee, P.A., DiVincenzo, D.P., Phys. Rev. B, 38, 1988, 2995.
117. Prange, R.E., Nee, T., Phys. Rev., 168, 1968, 779.
118. MacDonald, A.H., Streda, P., Phys. Rev., B29, 1984, 1616.
119. Fang, F.F., Stiles, P.J., Phys. Rev., B27, 1983, 6847.
120. Fang, F.F., Stiles, P.J., Phys. Rev., B29, 1984, 3749.
121. Prange, R.E., Joynt, R., Phys. Rev., B25, 1982, 2943.
122. Luryi, S.L., Kazarinov, R.F., Phys. Rev., B27, 1983, 1386.
123. Trugman, S.A., Phys. Rev., B27, 1983, 7539.
124. F. F. Fang (unpublished) (1983).
125. Stratonovich, R.L., Topics in the Theory of Random Noise, 1, 1963, Gordon and Breach, New York.
126. Erdos, P., Herndon, R.C., Adv. Phys., 31, 1982, 65.
127. Mil'nikov, G.V., Sokolov, I.M., JEW Lett., 48, 1989, 537.
128. Chalker, J.T., Coddington, P.D., J. Phys., C21, 1988, 2665.
129. Ohtsuki, T., Ono, Y., Solid State Communications, 65, 1988, 403.
130. Ono, Y., Ohtsuki, T., Kramer, B., J. Phys. Soc. Japan, 58, 1989, 1705.
131. van Wees, B.J., Kouwenhoven, L.P., van Houten, H., Beenakker, C.W.J., Mooij, J.E., Foxon, C.T., Harris, J.J., Phys. Rev., B38, 1988, 3625.
132. Jain, J.K., Phys. Rev. Lett., 60, 1988, 2074.
133. Hajdu, J., Janssen, M., Viehweger, O., J. Phys., B66, 1987, 433.
134. Pook, W., Hajdu, J., Z. Phys., B66, 1987, 427.
135. Ford, C.J.B., Thornton, T.J., Newbury, R., Pepper, M., Ahmed, H., Peacock, D.C., Ritchie, D.A., Frost, J.E.F., Jones, G.A.C., Appl. Phys. Lett., 54, 1989, 21.
136. Timp, G., Behringer, R., Cunningham, J.E., Howard, R.E., Phys. Rev. Lett., 63, 1989, 2268.
137. van Loosdrecht, P.H.M., Beenakker, C.W.J., van Houten, H., Williamson, J.G., van Wees, B.J., Mooij, J.E., Foxon, C.T., Harris, J.J., Phys. Rev., 838, 1988, 10162.
138. Brown, R.J., Smith, C.G., Pepper, M., Newbury, R., Ahmed, H., Hasko, D.G., Frost, J.E.F., Peacock, D.C., Ritchie, D.A., Jones, G.A.C., J. Phys. Cond. Matt., 1, 1989, 6291.
139. van Wees, B.J., Kouwenhoven, L.P., Harmans, C.J.P.M., Williamson, J.G., Timmering, C.E., Broekaart, M.E.I., Foxon, C.T., Harris, J.J., Phys. Rev. Lett., 62, 1989, 2523.
140. Simmons, J.A., Wei, H.P., Engel, L.W., Tsui, D.C., Shayegan, M., Phys. Rev. Lett., 63, 1989, 1731.
141. Büttiker, M., Phys. Rev., B38, 1988, 12724.
142. Snell, B.R., Beton, P.H., Main, P.C., Neves, A., Owers-Bradely, J.R., Eaves, L., Henini, M., Hughes, O.H., Beaumont, S.P., Wilkinson, C.D.W., J. Phys., C1, 1989, 7499.
143. Haug, R.I., von Klitzing, K., Ploog, K., Streda, P., Surface Science, 229, 1990, 229.
144. Jain, J.K., Kivelson, S.A., Phys. Rev. Lett., 60, 1988, 1542.
145. Peeters, F.M., Phys. Rev. Lett., 61, 1988, 589.
146. Komiyama, S., Hirai, H., Phys. Rev., B40, 1989, 7767.
147. Büttiker, M., Read, M.A., Kirk, W.P., (eds.) Nanostructure Physics and Fabrication, 1989, Academic Press, Boston, 319.
148. Büttiker, M., Surface Science, 229, 1990, 201.
149. Martin, T., Feng, S., Phys. Rev. Lett., 64, 1990, 1971.
150. Timp, G., Mankiewich, P.M., de Vegar, P., Behringer, R., Cunningham, J.E., Howard, R.E., Baranger, H.U., Jain, J.K., Phys. Rev., B33, 1989, 6227.
151. Azbel, M.Ya., Soviet Physics JETP, 12, 1961, 891.
152. Fertig, H.A., Phys. Rev., B38, 1988, 996.
153. Glazman, L.I., Jonson, M., J. Phys., Cl, 1989, 5547.
154. Chang, A.M., Timp, G., Cunningham, J.E., Mankiewich, P.M., Behringer, R.E., Howard, R.E., Solid State Commun., 76, 1988, 769.
155. Peeters, F.M., Supperlattices and Microstructures, 6, 1989, 217.
156. Schult, R.L., Ravenhall, D.G., Wyld, H.W., Phys. Rev., B39, 1988, 5476.
157. Kirczenow, G., Phys. Rev., B42, 1990, 5357.
158. Azbel, M.Ya., Entin-Wohlman, O., J. Phys., A22, 1989, L957.
159. Chang, A.M., Cunningham, J.E., Solid State Comm., 72, 1989, 651.
160. Chang, A.M., Solid State Comm., 74, 1990, 871.
161. L. P. Kouwenhoven, B. J. van Wees, N. C. van der Vaart, C. J. P. M. Hamans, C. E. Timmering, and C. T. Foxon, unpublished (1989).
162. Beenakker, C.W.J., Phys. Rev. Lett., 64, 1990, 216.
163. MacDonald, A.H., Phys. Rev. Lett, 64, 1990, 220.
164. Kivelson, S.A., Prokovski, V.L., Physical Rev., B40, 1989, 1373.
165. Beenakker, C.W.J., van Houten, H., Chamberlain, J.M., Eaves, L., Portal, J.C., (eds.) Electronic Properties of Multilayers and Low Dimensional Semiconductor Structures, 1989, Plenum, New York (in press).
166. Beton, P.H., Snell, B.R., Main, P.C., Owers-Bradley, J.R., Eaves, L., Henini, M., Hughes, O.H., Beaumont, S.P., Wilkinson, C.D.W., J. Phys. C, 1, 1989, 7505.
167. Thornton, T.J., Roukes, M.L., Scherer, A., Van de Gaag, B.P., Phys. Rev. Lett., 6, 1989, 2128.
168. Molenkamp, L.W., Staring, A.A., Beenakker, C.W.J., Eppenga, R., Timmering, C.E., Williamson, J.G., Harmans, Foxon, C.T., Phys. Rev., B41, 1990, 1274.
169. Johnston, R., Schweitzer, L., Z. Phys., B72, 1988, 217.
170. Büttiker, M., Chamberlain, J.M., Eaves, L., Portal, J.C., (eds.) Electronic Properties of Multilayers and Low Dimensional Structures, 1990, Plenum, New York, 51.
171. McEuen, P.L., Szafer, A., Richter, C.A., Alphenaar, B.W., Jain, J.K., Stone, A.D., Wheeler, R.G., Sacks, R.N., Phys. Rev. Lett., 64, 1990, 2062.
172. van Son, P.C., de Vries, F.W., Klapwijk, T.M., Phys. Rev., B43, 1991, 6764.
173. Faist, J., Gueret, P., Meier, H.P., Phys. Rev., B43, 1991, 9332.
174. Faist, J., Europhys. Lett., 15, 1991, 331.
175. Müller, G., Weiss, D., Koch, S., von Klitzing, K., Nickel, H., Schlapp, W., Losch, R., Phys. Rev. B42 (1990), 7633–7636.
176. van Son, P.C., Klapwijk, T.M., Europhys. Lett., 12, 1990, 429.
177. van Son, P.C., Kruithof, G.H., Klapwijk, T.M., Phys. Rev., 42, 1990, 11267.
178. Molenkamp, L.W., Brugman, M.J.P., van Houten, H., Beenakker, C.W.J., Foxon, C.T., Phys. Rev., B43, 1991, 12118.
179. Ford, C.J.B., Washburn, S., Newbury, R., Knoedler, C.M., Hong, J.M., Phys. Rev., B43, 1991, 7339.
180. Kirczenow, G., Castano, E., Phys. Rev., B43, 1991, 7343.
181. Fontein, P.F., Kleinen, J.A., Hendriks, P., Blom, F.A.P., Wolter, J.H., Lochs, H.G.M., Driessen, F.A.J.M., Giling, L.J., Beenakker, C.W.J., Phys. Rev., B43, 1991, 12090.
182. Klass, U., Dietsche, W., von Klitzing, K., Ploog, K., Z. Phys., B82, 1991, 351.
183. Büttiker, M., Phys. Rev. Lett., 65, 1990, 2901.
184. Anastassakis, E.M., Joannopoulos, J.D., (eds.) The Physics of Semiconductors, 1991, World Scientific, Singapore, 49.