Exact quantization of the even-denominator fractional quantum hall state at υ=5/2 landau level filling factor

W. Pan; J. S. Xia; V. Shvarts; D. E. Adams; H. L. Stormer; D. C. Tsui; L. N. Pfeiffer; K. W. Baldwin; K. W. West

doi:10.1103/PhysRevLett.83.3530

Exact quantization of the even-denominator fractional quantum hall state at υ=5/2 landau level filling factor

W. Pan
, J. S. Xia
, V. Shvarts
, D. E. Adams
, H. L. Stormer
, D. C. Tsui
, L. N. Pfeiffer
, K. W. Baldwin
, K. W. West

Research output: Contribution to journal › Article › peer-review

283 Scopus citations

Abstract

We report ultralow temperature experiments on the obscure fractional quantum Hall effect at Landau level filling factor υ=5/2 in a very high-mobility specimen of μ=1.7×10⁷cm²/Vs. We achieve an electron temperature as low as ˜4mK, where we observe vanishing R_xx and, for the first time, a quantized Hall resistance, R_xy=h/(5/2)e² to within 2 ppm. R_xy at the neighboring odd-denominator states υ=7/3 and 8/3 is also quantized. The temperature dependences of the R_xx minima at these fractional fillings yield activation energy gaps Δ_5/2=0.11, Δ_7/3=0.10, and Δ_8/3=0.55K.

Original language	English (US)
Pages (from-to)	3530-3533
Number of pages	4
Journal	Physical review letters
Volume	83
Issue number	17
DOIs	https://doi.org/10.1103/PhysRevLett.83.3530
State	Published - Jan 1 1999
Externally published	Yes

All Science Journal Classification (ASJC) codes

General Physics and Astronomy

Access to Document

10.1103/PhysRevLett.83.3530

Cite this

@article{11013296e05a4895a1f342b48272c04d,

title = "Exact quantization of the even-denominator fractional quantum hall state at υ=5/2 landau level filling factor",

abstract = "We report ultralow temperature experiments on the obscure fractional quantum Hall effect at Landau level filling factor υ=5/2 in a very high-mobility specimen of μ=1.7×107cm2/Vs. We achieve an electron temperature as low as ˜4mK, where we observe vanishing Rxx and, for the first time, a quantized Hall resistance, Rxy=h/(5/2)e2 to within 2 ppm. Rxy at the neighboring odd-denominator states υ=7/3 and 8/3 is also quantized. The temperature dependences of the Rxx minima at these fractional fillings yield activation energy gaps Δ5/2=0.11, Δ7/3=0.10, and Δ8/3=0.55K.",

author = "W. Pan and Xia, \{J. S.\} and V. Shvarts and Adams, \{D. E.\} and Stormer, \{H. L.\} and Tsui, \{D. C.\} and Pfeiffer, \{L. N.\} and Baldwin, \{K. W.\} and West, \{K. W.\}",

year = "1999",

month = jan,

day = "1",

doi = "10.1103/PhysRevLett.83.3530",

language = "English (US)",

volume = "83",

pages = "3530--3533",

journal = "Physical review letters",

issn = "0031-9007",

publisher = "American Physical Society",

number = "17",

}

TY - JOUR

T1 - Exact quantization of the even-denominator fractional quantum hall state at υ=5/2 landau level filling factor

AU - Pan, W.

AU - Xia, J. S.

AU - Shvarts, V.

AU - Adams, D. E.

AU - Stormer, H. L.

AU - Tsui, D. C.

AU - Pfeiffer, L. N.

AU - Baldwin, K. W.

AU - West, K. W.

PY - 1999/1/1

Y1 - 1999/1/1

N2 - We report ultralow temperature experiments on the obscure fractional quantum Hall effect at Landau level filling factor υ=5/2 in a very high-mobility specimen of μ=1.7×107cm2/Vs. We achieve an electron temperature as low as ˜4mK, where we observe vanishing Rxx and, for the first time, a quantized Hall resistance, Rxy=h/(5/2)e2 to within 2 ppm. Rxy at the neighboring odd-denominator states υ=7/3 and 8/3 is also quantized. The temperature dependences of the Rxx minima at these fractional fillings yield activation energy gaps Δ5/2=0.11, Δ7/3=0.10, and Δ8/3=0.55K.

AB - We report ultralow temperature experiments on the obscure fractional quantum Hall effect at Landau level filling factor υ=5/2 in a very high-mobility specimen of μ=1.7×107cm2/Vs. We achieve an electron temperature as low as ˜4mK, where we observe vanishing Rxx and, for the first time, a quantized Hall resistance, Rxy=h/(5/2)e2 to within 2 ppm. Rxy at the neighboring odd-denominator states υ=7/3 and 8/3 is also quantized. The temperature dependences of the Rxx minima at these fractional fillings yield activation energy gaps Δ5/2=0.11, Δ7/3=0.10, and Δ8/3=0.55K.

UR - https://www.scopus.com/pages/publications/0000515995

UR - https://www.scopus.com/pages/publications/0000515995#tab=citedBy

U2 - 10.1103/PhysRevLett.83.3530

DO - 10.1103/PhysRevLett.83.3530

M3 - Article

AN - SCOPUS:0000515995

SN - 0031-9007

VL - 83

SP - 3530

EP - 3533

JO - Physical review letters

JF - Physical review letters

IS - 17

ER -

Exact quantization of the even-denominator fractional quantum hall state at υ=5/2 landau level filling factor

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this