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Exact Quantization of the Even-Denominator Fractional Quantum Hall State at {nu} =5/2 Landau Level Filling Factor

Journal Article · · Physical Review Letters
;  [1]; ; ; ;  [2]; ; ;  [3];  [4]; ; ; ;  [5]
  1. Princeton University, Princeton, New Jersey 08544 (United States)
  2. NHMFL, Tallahassee, Florida 32310 (United States)
  3. University of Florida, Gainesville, Florida 32611 (United States)
  4. Columbia University, New York, New York 10027 (United States)
  5. Bell Laboratories, Lucent Technologies, Murray Hill, New Jersey 07974 (United States)

We report ultralow temperature experiments on the obscure fractional quantum Hall effect at Landau level filling factor {nu}=5/2 in a very high-mobility specimen of {mu}=1.7{times}10{sup 7} cm {sup 2}/Vthinsp s . We achieve an electron temperature as low as {approximately}4 mK , where we observe vanishing R{sub xx} and, for the first time, a quantized Hall resistance, R{sub xy}=h/(5/2)e{sup 2} to within 2thinspthinspppm. R{sub xy} at the neighboring odd-denominator states {nu}=7/3 and 8/3 is also quantized. The temperature dependences of the R{sub xx} minima at these fractional fillings yield activation energy gaps {Delta}{sub 5/2}=0.11 , {Delta}{sub 7/3}=0.10 , and {Delta}{sub 8/3}=0.055 K . {copyright} {ital 1999} {ital The American Physical Society }

OSTI ID:
688042
Journal Information:
Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 17 Vol. 83; ISSN 0031-9007; ISSN PRLTAO
Country of Publication:
United States
Language:
English

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