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Colloquium: Transport in strongly correlated two dimensional electron fluids

B. Spivak, S. V. Kravchenko, S. A. Kivelson, and X. P. A. Gao

B. Spivak

  • Department of Physics, University of Washington, Seattle, Washington 98195, USA

S. V. Kravchenko

  • Physics Department, Northeastern University, Boston, Massachusetts 02115, USA

S. A. Kivelson

  • Department of Physics, Stanford University, Stanford, California 94305, USA

X. P. A. Gao

  • Department of Physics, Case Western Reserve University, Cleveland, Ohio 44106, USA

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Rev. Mod. Phys. 82, 1743 – Published 27 May, 2010

DOI: https://doi.org/10.1103/RevModPhys.82.1743

Abstract

An overview of the measured transport properties of the two dimensional electron fluids in high mobility semiconductor devices with low electron densities is presented as well as some of the theories that have been proposed to account for them. Many features of the observations are not easily reconciled with a description based on the well understood physics of weakly interacting quasiparticles in a disordered medium. Rather, they reflect new physics associated with strong correlation effects, which warrant further study.

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References (155)

  1. Abrahams, E., P. W. Anderson, D. C. Licciardello, and T. V. Ramakrishnan, 1979, Phys. Rev. Lett. 42, 673.
  2. Abrahams, E., S. V. Kravchenko, and M. P. Sarachik, 2001, Rev. Mod. Phys. 73, 251.
  3. Abrikosov, A. A., 1988, Fundamentals of the Theory of Metals (North-Holland, Amsterdam).
  4. Aizenman, M., and J. Wehr, 1989, Phys. Rev. Lett. 62, 2503.
  5. Allison, G., E. A. Galaktionov, A. K. Savchenko, S. S. Safonov, M. M. Fogler, M. Y. Simmons, and D. A. Ritchie, 2006, Phys. Rev. Lett. 96, 216407.
  6. Altshuler, B. L., and A. G. Aronov, 1985, in Electron-Electron Interactions in Disordered Systems, edited by A. L. Efros and M. Pollak (North-Holland, Amsterdam).
  7. Altshuler, B. L., A. G. Aronov, and P. A. Lee, 1980, Phys. Rev. Lett. 44, 1288.
  8. Altshuler, B. L., G. W. Martin, D. L. Maslov, V. M. Pudalov, A. Prinz, G. Brunthaler, and G. Bauer, 2000, e-print arXiv:cond-mat/0008005.
  9. Ando, T., 1989, Phys. Rev. B 40, 5325.
  10. Ando, T., A. B. Fowler, and F. Stern, 1982, Rev. Mod. Phys. 54, 437.
  11. Andreev, A. F., 1978, JETP Lett. 28, 557.
  12. Andreev, A. F., 1979, Sov. Phys. JETP 50, 1218.
  13. Anissimova, S., S. V. Kravchenko, A. Punnoose, A. M. Finkel’stein, and T. M. Klapwijk, 2007, Nat. Phys. 3, 707.
  14. Asada, Y., K. Slevin, and T. Ohtsuki, 2004, Phys. Rev. B 70, 035115.
  15. Attaccalite, C., S. Moroni, P. Gori-Giorgi, and G. B. Bachelet, 2002, Phys. Rev. Lett. 88, 256601.
  16. Berker, N., 1993, Physica A 194, 72.
  17. Biskup, M., L. Chaye, and S. A. Kivelson, 2007, Commun. Math. Phys. 274, 217.
  18. Brazovskii, S. A., 1975, Sov. Phys. JETP 41, 85.
  19. Castaing, B., and P. Nozieres, 1979, J. Phys. (Paris) 40, 257.
  20. Castellani, C., C. Di Castro, P. A. Lee, and M. Ma, 1984, Phys. Rev. B 30, 527.
  21. Chakravarty, S., S. Kivelson, C. Nayak, and K. Voelker, 1999, Philos. Mag. B 79, 859.
  22. Chamon, C., and E. R. Mucciolo, 2000, Phys. Rev. Lett. 85, 5607.
  23. Coleridge, P. T., 1997, unpublished.
  24. Coleridge, P. T., R. L. Williams, Y. Feng, and P. Zawadzki, 1997, Phys. Rev. B 56, R12764.
  25. Das Sarma, S., and E. H. Hwang, 1999, Phys. Rev. Lett. 83, 164.
  26. Das Sarma, S., and E. H. Hwang, 2000, Phys. Rev. B 61, R7838.
  27. Das Sarma, S., and E. H. Hwang, 2003, Phys. Rev. B 68, 195315.
  28. Das Sarma, S., and E. H. Hwang, 2004, Phys. Rev. B 69, 195305.
  29. Das Sarma, S., and E. H. Hwang, 2005, Phys. Rev. B 71, 195322.
  30. Das Sarma, S., M. P. Lilly, E. H. Hwang, L. N. Pfeiffer, K. W. West, and J. L. Reno, 2005, Phys. Rev. Lett. 94, 136401.
  31. De Poortere, E. P., E. Tutuc, Y. P. Shkolnikov, K. Vakili, and M. Shayegan, 2002, Phys. Rev. B 66, 161308(R).
  32. D’Iorio, M., V. M. Pudalov, and S. G. Semenchinsky, 1990, Phys. Lett. A 150, 422.
  33. Dobrosavljević, V., E. Abrahams, E. Miranda, and S. Chakravarty, 1997, Phys. Rev. Lett. 79, 455.
  34. Dolgopolov, V. T., and A. Gold, 2000, JETP Lett. 71, 27.
  35. Dultz, S. C., and H. W. Jiang, 2000, Phys. Rev. Lett. 84, 4689.
  36. Dultz, S. C., H. W. Jiang, and W. J. Schaff, 1998, Phys. Rev. B 58, R7532.
  37. Efros, A. L., F. G. Pikus, and V. G. Burnett, 1993, Phys. Rev. B 47, 2233.
  38. Efros, A. L., and B. I. Shklovskii, 1984, Electronic Properties of Doped Semiconductors (Springer, New York).
  39. Eisenstein, J. P., L. N. Pfeiffer, and K. W. West, 1992, Phys. Rev. Lett. 68, 674.
  40. Evangelou, S. N., and T. Ziman, 1987, J. Phys. C 20, L235.
  41. Faniel, S., L. Moldovan, A. Vlad, E. Tutuc, N. Bishop, S. Melinte, M. Shayegan, and V. Bayot, 2007, Phys. Rev. B 76, 161307(R).
  42. Feng, X. G., D. Popović, and S. Washburn, 1999, Phys. Rev. Lett. 83, 368.
  43. Feng, X. G., D. Popović, S. Washburn, and V. Dobrosavljević, 2001, Phys. Rev. Lett. 86, 2625.
  44. Ferrer, M. L., and D. Kivelson, 1999, J. Chem. Phys. 110, 10963.
  45. Finkel’stein, A. M., 1983, Sov. Phys. JETP 57, 97.
  46. Finkel’stein, A. M., 1984a, JETP Lett. 40, 796.
  47. Finkel’stein, A. M., 1984b, Z. Phys. B: Condens. Matter 56, 189.
  48. Finkel’stein, A. M., 1990, in Soviet Scientific Reviews, edited by I. M. Khalatnikov (Harwood Academic, London), Vol. 14.
  49. Fletcher, R., V. M. Pudalov, A. D. B. Radcliffe, and C. Possanzini, 2001, Semicond. Sci. Technol. 16, 386.
  50. Fogler, M. M., 2004, Phys. Rev. B 69, 121409(R).
  51. Frenkel, J., 1946, Kinetic Theory of Liquids (Clarendon Press, Oxford).
  52. Gao, X. P. A., 2003, Ph.D. thesis (Columbia University).
  53. Gao, X. P. A., G. S. Boebinger, A. P. Mills, Jr., A. P. Ramirez, L. N. Pfeiffer, and K. W. West, 2005, Phys. Rev. Lett. 94, 086402.
  54. Gao, X. P. A., G. S. Boebinger, A. P. Mills, Jr., A. P. Ramirez, L. N. Pfeiffer, and K. W. West, 2006, Phys. Rev. B 73, 241315(R).
  55. Gao, X. P. A., A. P. Mills, Jr., A. P. Ramirez, L. N. Pfeiffer, and K. W. West, 2002, Phys. Rev. Lett. 88, 166803.
  56. Gao, X. P. A., A. P. Mills, Jr., A. P. Ramirez, L. N. Pfeiffer, and K. W. West, 2003, e-print arXiv:cond-mat/0308003.
  57. Giuliani, A., J. L. Lebowitz, and E. H. Lieb, 2007, Phys. Rev. B 76, 184426.
  58. Gold, A., and V. T. Dolgopolov, 1986, Phys. Rev. B 33, 1076.
  59. Goldhaber-Gordon, D., H. Shtrikman, D. Mahalu, D. Abusch-Magder, U. Meirav, and M. A. Kastner, 1998, Nature (London) 391, 156.
  60. Gorkov, L. P., A. I. Larkin, and D. E. Khmelnitskii, 1979, JETP Lett. 30, 228.
  61. Gramila, T. J., J. P. Eisenstein, A. H. MacDonald, L. N. Pfeiffer, and K. W. West, 1993, Phys. Rev. B 47, 12957.
  62. Gramila, T. J., J. P. Eisenstein, A. H. MacDonald, L. N. Pfeiffer, and K. W. West, 1994, Physica B 197, 442.
  63. Hanein, Y., U. Meirav, D. Shahar, C. C. Li, D. C. Tsui, and H. Shtrikman, 1998, Phys. Rev. Lett. 80, 1288.
  64. Hanein, Y., N. Nenadovic, D. Shahar, S. Shtrikman, J. Yoon, C. C. Li, and D. C. Tsui, 1999, Nature (London) 400, 735.
  65. Hanein, Y., D. Shahar, J. Yoon, C. C. Li, D. C. Tsui, and H. Shtrikman, 1998, Phys. Rev. B 58, R13338.
  66. Hikami, S., A. I. Larkin, and Y. Nagaoka, 1980, Prog. Theor. Phys. 63, 707.
  67. Hilke, M., D. Shahar, S. H. Song, D. C. Tsui, and Y. H. Xie, 2000, Phys. Rev. B 62, 6940.
  68. Ilani, S., A. Yacoby, D. Mahalu, and H. Shtrikman, 2000, Phys. Rev. Lett. 84, 3133.
  69. Ilani, S., A. Yacoby, D. Mahalu, and H. Shtrikman, 2001, Science 292, 1354.
  70. Imry, Y., and M. Wortis, 1979, Phys. Rev. B 19, 3580.
  71. Jamei, R., S. A. Kivelson, and B. Spivak, 2005, Phys. Rev. Lett. 94, 056805.
  72. Jaroszyński, J., and D. Popović, 2007, Phys. Rev. Lett. 99, 216401.
  73. Jaroszyński, J., D. Popović, and T. M. Klapwijk, 2002, Phys. Rev. Lett. 89, 276401.
  74. Khmelnitskii, D. E., 1984, Phys. Lett. 106A, 182.
  75. Kivelson, S. A., D.-H. Lee, and S.-C. Zhang, 1992, Phys. Rev. B 46, 2223.
  76. Kouwenhoven, L., and L. Glazman, 2001, Phys. World 14, 33.
  77. Kravchenko, S. V., and T. M. Klapwijk, 2000, Phys. Rev. Lett. 84, 2909.
  78. Kravchenko, S. V., G. V. Kravchenko, J. E. Furneaux, V. M. Pudalov, and M. D’Iorio, 1994, Phys. Rev. B 50, 8039.
  79. Kravchenko, S. V., W. E. Mason, G. E. Bowker, J. E. Furneaux, V. M. Pudalov, and M. D’Iorio, 1995, Phys. Rev. B 51, 7038.
  80. Kravchenko, S. V., and M. P. Sarachik, 2004, Rep. Prog. Phys. 67, 1.
  81. Kravchenko, S. V., A. A. Shashkin, D. A. Bloore, and T. M. Klapwijk, 2000, Solid State Commun. 116, 495.
  82. Kravchenko, S. V., A. A. Shashkin, and V. T. Dolgopolov, 2002, Phys. Rev. Lett. 89, 219701.
  83. Kravchenko, S. V., D. Simonian, M. P. Sarachik, A. D. Kent, and V. M. Pudalov, 1998, Phys. Rev. B 58, 3553.
  84. Kravchenko, S. V., D. Simonian, M. P. Sarachik, W. Mason, and J. E. Furneaux, 1996, Phys. Rev. Lett. 77, 4938.
  85. Lai, K., W. Pan, D. C. Tsui, S. A. Lyon, M. Muhlberger, and F. Schäffler, 2005, Phys. Rev. B 72, 081313(R).
  86. Lai, K., W. Pan, D. C. Tsui, S. Lyon, M. Muhlberger, and F. Schäffler, 2007, Phys. Rev. B 75, 033314.
  87. Laughlin, R. B., 1984, Phys. Rev. Lett. 52, 2304.
  88. Lee, P. A., and T. V. Ramakrishnan, 1985, Rev. Mod. Phys. 57, 287.
  89. Levchenko, A., and A. Kamenev, 2008, Phys. Rev. Lett. 101, 216806.
  90. Lilly, M. P., J. L. Reno, J. A. Simmons, I. B. Spielman, J. P. Eisenstein, L. N. Pfeiffer, K. W. West, E. H. Hwang, and S. Das Sarma, 2003, Phys. Rev. Lett. 90, 056806.
  91. Lorenzana, J., C. Castellani, and C. Di Castro, 2002, Europhys. Lett. 57, 704.
  92. Lu, T. M., L. Sun, D. C. Tsui, S. Lyon, W. Pan, M. Muhlberger, F. Schäffler, J. Liu, and Y. H. Xie, 2008, Phys. Rev. B 78, 233309.
  93. Manfra, M. J., E. H. Hwang, S. Das Sarma, L. N. Pfeiffer, K. W. West, and A. M. Sergent, 2007, Phys. Rev. Lett. 99, 236402.
  94. McFarland, R. N., T. M. Kott, L. Sun, K. Eng, and B. E. Kane, 2009, e-print arXiv:0903.1862.
  95. McMillan, W. L., 1981, Phys. Rev. B 24, 2739.
  96. Mertes, K. M., D. Simonian, M. P. Sarachik, S. V. Kravchenko, and T. M. Klapwijk, 1999, Phys. Rev. B 60, R5093.
  97. Mills, A. P., Jr., A. P. Ramirez, X. P. A. Gao, L. N. Pfeiffer, K. W. West, and S. H. Simon, 2001, e-print arXiv:cond-mat/0101020.
  98. Mills, A. P., Jr., A. P. Ramirez, L. N. Pfeiffer, and K. W. West, 1999, Phys. Rev. Lett. 83, 2805.
  99. Mokashi, A., and S. V. Kravchenko, 2009, unpublished.
  100. Moldovan, L., S. Melinte, V. Bayot, S. J. Papadakis, E. P. De Poortere, and M. Shayegan, 2000, Phys. Rev. Lett. 85, 4369.
  101. Nayak, C., and X. Yang, 2003, Phys. Rev. B 68, 104423.
  102. Noh, H., M. P. Lilly, D. C. Tsui, J. A. Simmons, E. H. Hwang, S. Das Sarma, L. N. Pfeiffer, and K. W. West, 2003, Phys. Rev. B 68, 165308.
  103. Okamoto, T., K. Hosoya, S. Kawaji, and A. Yagi, 1999, Phys. Rev. Lett. 82, 3875.
  104. Okamoto, T., M. Ooya, K. Hosoya, and S. Kawaji, 2004, Phys. Rev. B 69, 041202(R).
  105. Papadakis, S. J., and M. Shayegan, 1998, Phys. Rev. B 57, R15068.
  106. Pillarisetty, R., H. Noh, E. Tutuc, E. P. De Poortere, D. C. Tsui, and M. Shayegan, 2003, Phys. Rev. Lett. 90, 226801.
  107. Pomeranchuk, I. Y., 1950, Zh. Eksp. Teor. Fiz. 20, 919.
  108. Popović, D., A. B. Fowler, and S. Washburn, 1997, Phys. Rev. Lett. 79, 1543.
  109. Possanzini, C., R. Fletcher, M. Tsaousidou, P. T. Coleridge, R. L. Williams, Y. Feng, and J. C. Maan, 2004, Phys. Rev. B 69, 195306.
  110. Price, P. M., 1983, Physica B & C 117-118, 750.
  111. Prus, O., Y. Yaish, M. Reznikov, U. Sivan, and V. M. Pudalov, 2003, Phys. Rev. B 67, 205407.
  112. Pudalov, V., G. Brunthaler, A. Prinz, and G. Bauer, 1998, Physica B 249-251, 697.
  113. Pudalov, V. M., 1997, JETP Lett. 66, 175.
  114. Pudalov, V. M., G. Brunthaler, A. Prinz, and G. Bauer, 1997, JETP Lett. 65, 932.
  115. Pudalov, V. M., M. E. Gershenson, H. Kojima, G. Brunthaler, A. Prinz, and G. Bauer, 2003, Phys. Rev. Lett. 91, 126403.
  116. Pudalov, V. M., M. E. Gershenson, H. Kojima, N. Butch, E. M. Dizhur, G. Brunthaler, A. Prinz, and G. Bauer, 2002, Phys. Rev. Lett. 88, 196404.
  117. Punnoose, A., and A. M. Finkel'stein, 2001, Phys. Rev. Lett. 88, 016802.
  118. Punnoose, A., and A. M. Finkel'stein, 2005, Science 310, 289.
  119. Richardson, R. C., 1997, Rev. Mod. Phys. 69, 683.
  120. Roger, M., 1984, Phys. Rev. B 30, 6432.
  121. Rosenbaum, T. F., R. F. Milligan, M. A. Paalanen, G. A. Thomas, R. N. Bhatt, and W. Lin, 1983, Phys. Rev. B 27, 7509.
  122. Sarachik, M. P., and S. V. Kravchenko, 1999, Proc. Natl. Acad. Sci. U.S.A. 96, 5900.
  123. Sciambi, A., M. Pelliccione, and D. Goldhaber-Gordon, 2008, private communication.
  124. Senz, V., U. Dötsch, U. Gennser, T. Ihn, T. Heinzel, K. Ensslin, R. Hartmann, and D. Grützmacher, 1999, Ann. Phys. (Paris) 8, 237.
  125. Shashkin, A. A., 2005, Phys. Usp. 48, 129.
  126. Shashkin, A. A., S. Anissimova, M. R. Sakr, S. V. Kravchenko, V. T. Dolgopolov, and T. M. Klapwijk, 2006, Phys. Rev. Lett. 96, 036403.
  127. Shashkin, A. A., G. V. Kravchenko, and V. T. Dolgopolov, 1993, JETP Lett. 58, 220.
  128. Shashkin, A. A., S. V. Kravchenko, V. T. Dolgopolov, and T. M. Klapwijk, 2001, Phys. Rev. Lett. 87, 086801.
  129. Shashkin, A. A., S. V. Kravchenko, V. T. Dolgopolov, and T. M. Klapwijk, 2002, Phys. Rev. B 66, 073303.
  130. Shashkin, A. A., M. Rahimi, S. Anissimova, S. V. Kravchenko, V. T. Dolgopolov, and T. M. Klapwijk, 2003, Phys. Rev. Lett. 91, 046403.
  131. Sheng, D. N., Z. Y. Weng, and X. G. Wen, 2001, Phys. Rev. B 64, 165317.
  132. Shklovskii, B. I., and B. Spivak, 1991, in Hopping Conduction in Semiconductors, edited by M. Pollak and B. I. Shklovskii (North-Holland, Amsterdam).
  133. Simmons, M. Y., A. R. Hamilton, M. Pepper, E. H. Linfield, P. D. Rose, and D. A. Ritchie, 2000, Phys. Rev. Lett. 84, 2489.
  134. Simmons, M. Y., A. R. Hamilton, M. Pepper, E. H. Linfield, P. D. Rose, D. A. Ritchie, A. K. Savchenko, and T. G. Griffiths, 1998, Phys. Rev. Lett. 80, 1292.
  135. Simonian, D., S. V. Kravchenko, M. P. Sarachik, and V. M. Pudalov, 1997, Phys. Rev. Lett. 79, 2304.
  136. Spivak, B., 2003, Phys. Rev. B 67, 125205.
  137. Spivak, B., and S. A. Kivelson, 2004, Phys. Rev. B 70, 155114.
  138. Spivak, B., and S. A. Kivelson, 2005, Phys. Rev. B 72, 045355.
  139. Spivak, B., and S. A. Kivelson, 2006, Ann. Phys. (Paris) 321, 2071.
  140. Stern, F., and S. Das Sarma, 1985, Solid-State Electron. 28, 211.
  141. Tanatar, B., and D. M. Ceperley, 1989, Phys. Rev. B 39, 5005.
  142. Tessmer, S. H., P. I. Glicofridis, R. C. Ashoori, L. S. Levitov, and M. R. Melloch, 1998, Nature (London) 392, 51.
  143. Tsui, Y., S. A. Vitkalov, M. P. Sarachik, and T. M. Klapwijk, 2005, Phys. Rev. B 71, 113308.
  144. Vakili, K., Y. P. Shkolnikov, E. Tutuc, E. P. De Poortere, and M. Shayegan, 2004, Phys. Rev. Lett. 92, 226401.
  145. van Wees, B. J., H. van Houten, C. W. J. Beenakker, J. G. Williamson, L. P. Kouwenhoven, D. van der Marel, and C. T. Foxon, 1988, Phys. Rev. Lett. 60, 848.
  146. Vitkalov, S. A., H. Zheng, K. M. Mertes, M. P. Sarachik, and T. M. Klapwijk, 2001, Phys. Rev. Lett. 87, 086401.
  147. Voelker, K., and S. Chakravarty, 2001, Phys. Rev. B 64, 235125.
  148. Yoon, J., C. C. Li, D. Shahar, D. C. Tsui, and M. Shayegan, 1999, Phys. Rev. Lett. 82, 1744.
  149. Yoon, J., C. C. Li, D. Shahar, D. C. Tsui, and M. Shayegan, 2000, Phys. Rev. Lett. 84, 4421.
  150. Zala, G., B. N. Narozhny, and I. L. Aleiner, 2001a, Phys. Rev. B 64, 214204.
  151. Zala, G., B. N. Narozhny, and I. L. Aleiner, 2001b, Phys. Rev. B 65, 020201(R).
  152. Zavaritskaya, T. N., and É. I. Zavaritskaya, 1987, JETP Lett. 45, 609.
  153. Zhao, H. L., B. Z. Spivak, M. P. Gelfand, and S. Feng, 1991, Phys. Rev. B 44, 10760.
  154. Zheng, L., and A. H. MacDonald, 1993, Phys. Rev. B 48, 8203.
  155. Zhu, J., H. L. Stormer, L. N. Pfeiffer, K. W. Baldwin, and K. W. West, 2003, Phys. Rev. Lett. 90, 056805.

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Rev. Mod. Phys. 82, 1743– Published 27 May, 2010

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