TY - JOUR
T1 - The quantized Hall insulator
AU - Shimshoni, Efrat
AU - Auerbach, Assa
PY - 1998/5
Y1 - 1998/5
N2 - We model the insulator neighbouring a 1/k quantum Hall phase by a random network of puddles of filling fraction 1/k. The puddles are coupled by weak tunnel barriers. We prove that the macroscopic Hall resistivity is quantized at kh/e2 and independent of magnetic field and current bias, in agreement with recent experimental observations. In addition, for k > 1 this theory predicts a nonlinear longitudinal response V α Iα at zero temperature, and V/I α T1-1/α at low biases. α is determined by the Luttinger liquid spectra of the edge states straddling the typical tunnel barrier. The dependence of V(I)on the magnetic field is related to the typical puddle size.
AB - We model the insulator neighbouring a 1/k quantum Hall phase by a random network of puddles of filling fraction 1/k. The puddles are coupled by weak tunnel barriers. We prove that the macroscopic Hall resistivity is quantized at kh/e2 and independent of magnetic field and current bias, in agreement with recent experimental observations. In addition, for k > 1 this theory predicts a nonlinear longitudinal response V α Iα at zero temperature, and V/I α T1-1/α at low biases. α is determined by the Luttinger liquid spectra of the edge states straddling the typical tunnel barrier. The dependence of V(I)on the magnetic field is related to the typical puddle size.
UR - http://www.scopus.com/inward/record.url?scp=0032069417&partnerID=8YFLogxK
U2 - 10.1080/13642819808205001
DO - 10.1080/13642819808205001
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AN - SCOPUS:0032069417
SN - 1364-2812
VL - 77
SP - 1107
EP - 1113
JO - Philosophical Magazine B: Physics of Condensed Matter; Statistical Mechanics, Electronic, Optical and Magnetic Properties
JF - Philosophical Magazine B: Physics of Condensed Matter; Statistical Mechanics, Electronic, Optical and Magnetic Properties
IS - 5
ER -