Probing the plateau-insulator quantum phase transition in the quantum hall regime

作者: R. T. F. van Schaijk , A. de Visser , S. M. Olsthoorn , H. P. Wei , A. M. M. Pruisken

DOI: 10.1103/PHYSREVLETT.84.1567

关键词: Critical exponentHeterojunctionLow mobilityInsulator (electricity)ConductanceRenormalization groupPhysicsQuantum Hall effectQuantum phase transitionCondensed matter physics

摘要: We report quantum Hall experiments on the plateau-insulator transition in a low mobility $In_{.53}$ $Ga_{.47}$ $As/InP$ heterostructure. The data for longitudinal resistance $\rho_{xx}$ follow an exponential law and we extract critical exponent $\kappa= .55 \pm .05$ which is slightly different from established value $\kappa = .42 .04$ plateau transitions. Upon correction inhomogeneity effects, cause conductance $\sigma_{xx}^*$ to depend marginally temperature, our indicate that plateau-plateau plateau- insulator transitions are same universality class.

参考文章(17)
H. P. Wei, D. C. Tsui, M. A. Paalanen, A. M. M. Pruisken, Experiments on delocalization and universality in the integral quantum Hall effect. Physical Review Letters. ,vol. 61, pp. 1294- 1296 ,(1988) , 10.1103/PHYSREVLETT.61.1294
A. M. M. Pruisken, Universal singularities in the integral quantum Hall effect. Physical Review Letters. ,vol. 61, pp. 1297- 1300 ,(1988) , 10.1103/PHYSREVLETT.61.1297
A. M. M Pruisken, M. A Baranov, Cracking Coulomb interactions in the quantum Hall regime EPL. ,vol. 31, pp. 543- 548 ,(1995) , 10.1209/0295-5075/31/9/007
H. P. Wei, S. Y. Lin, D. C. Tsui, A. M. M. Pruisken, Effect of long-range potential fluctuations on scaling in the integer quantum Hall effect. Physical Review B. ,vol. 45, pp. 3926- 3928 ,(1992) , 10.1103/PHYSREVB.45.3926
S. Koch, R. J. Haug, K. v. Klitzing, K. Ploog, Experiments on scaling in AlxGa1-xAs/GaAs heterostructures under quantum Hall conditions. Physical Review B. ,vol. 43, pp. 6828- 6831 ,(1991) , 10.1103/PHYSREVB.43.6828
S. Koch, R. J. Haug, K. v. Klitzing, K. Ploog, Experimental studies of the localization transition in the quantum Hall regime Physical Review B. ,vol. 46, pp. 1596- 1602 ,(1992) , 10.1103/PHYSREVB.46.1596
H. W. Jiang, C. E. Johnson, K. L. Wang, S. T. Hannahs, Observation of magnetic-field-induced delocalization: Transition from Anderson insulator to quantum Hall conductor. Physical Review Letters. ,vol. 71, pp. 1439- 1442 ,(1993) , 10.1103/PHYSREVLETT.71.1439
T. Wang, K. P. Clark, G. F. Spencer, A. M. Mack, W. P. Kirk, Magnetic-field-induced metal-insulator transition in two dimensions. Physical Review Letters. ,vol. 72, pp. 709- 712 ,(1994) , 10.1103/PHYSREVLETT.72.709
RJF Hughes, JT Nicholls, JEF Frost, EH Linfield, M Pepper, CJB Ford, DA Ritchie, GAC Jones, Eugene Kogan, MOSHE Kaveh, None, Magnetic-field-induced insulator-quantum Hall-insulator transition in a disordered two-dimensional electron gas Journal of Physics: Condensed Matter. ,vol. 6, pp. 4763- 4770 ,(1994) , 10.1088/0953-8984/6/25/014