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• W1617407604 abstract "Thc effccts oC tcmperaturc alld Ohmic conduction on the field configurations in IQHE samples are illvestigatcd. TIJc dissipative effects are idelltified as the cause oC the Hall curreuts 10 flow through the bulk of the samples in the experiments. Two regimes for the Hall dfect observation are traeed out: thc first one works al time intervals shorter than the relaxation time and is characterized by Hall Cl1lTcnts circulating near the boundary. The second one is rclated to tIte stationary statc in the presence oC dissipation and is characterized maillly by bulk currents. AH approxilllate analytical solution of the equatiolls describing the steady state is faund. This satisfactorily describes the oscillations of the experimental Hall voltage with the magnetic ficld for interior sample points ami leads to the quantization of the Hall resistan ce to OIle part in 105 or bet ter. RESUMEN. Se invl'stigau los cf('elos de la temperatura y la conduccion ohmica ell las configuraciones de campo en el efecto Hall cuantico Plltero. Los efectos disipativos se identifican como las causas de que LO;; corrientes de Hall fluyan a traves del vohimen en las muestras experimentales. Se identifican dos regimcnes para la obscn'acion del efecto Hall cuantico: el primero trabaja ell intervalos de tiempo ml'lIorcs que el tiempo de relajacion y esta caracterizado por corrientes de Hall circulando cerca de la frolltera; el segundo se relaciona con el estado estacionario en presencia de disipacion y se caracteriza basicamente por corrientes volumetricas. Se obtiene una solucion analitica aproximada de la. ('('uaciones que describen el estado estacionario; ella describe satisfactoriamente las oscilacioll~s d('l voltaje de Hall obtenido experimentalmente con la variacion del campo magnetico en puntos interiores de la muestra y produce una cuantificacion de la resistencia de Hall en una parte en 105 o mejor. PACS, 73AO.ll; 72.20.~ly Although the integer quantumllall clfect (lQHE) is essentially wellnnderstood [1], certain aspects of this phenornenon are still under discussion. A particularly interesting problem is concemed with the current and voltage distributions inside a quantulll Hall device. While scmiclassical [2,3,4) and pereolatioll [5] argumcnts lead to the propagatioll of CtlrrCllts in the bulk of the two dimensional system, the dOlllinance of edge currents is stressed in other approaches [G,7,Sj. On the other hand, the experiments [9,10,11] show currents that in the regions between platealls are unifonnly distribu(ed across the sample, and that inside plateaus now mainly tltrough a ZOIle whose spatial positioll is detcrmined by the value of the applied magnetic field. This zone may be (hollght as (he patio of millilllal resistivity along ti, sampl,' (which shoul (x) (0) = eL JI dt C>n In Ixlt JI. -1 (1)" @default.
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• W1617407604 date "1991-07-01" @default.
• W1617407604 modified "2023-09-24" @default.
• W1617407604 title "The role of dissipation in quantum Hall voltage profiles" @default.
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