Coupled coherent and incoherent motion of an excitation on a periodic linear chain

D. A. Wharam; T. J. Thornton; R. Newbury; M. Pepper; H. Ahmed; J. E.F. Frost; D. G. Hasko; D. C. Peacock; D. A. Ritchie; G. A.C. Jones

doi:10.1088/0022-3719/21/8/002

Coupled coherent and incoherent motion of an excitation on a periodic linear chain

D. A. Wharam, T. J. Thornton, R. Newbury, M. Pepper, H. Ahmed, J. E.F. Frost, D. G. Hasko, D. C. Peacock, D. A. Ritchie, G. A.C. Jones

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1927 Scopus citations

Abstract

The authors present experimental results, and a supporting theory, showing that a one-dimensional system in which transport is ballistic possesses a quantised resistance, h/2ie², where i is the number of occupied 1D sub-bands and the spin degeneracy is two. A short narrow channel is defined in the 2DEG of a GaAs-AlGaAs heterojunction and as the width of the system is changed, the sub-bands pass through the Fermi energy and the resistance jumps between quantised values. The value of the quantised resistance is derived and the accuracy of the quantisation is discussed. The effect can be strong at temperatures approximately 0.1 K, with up to 17 sub-bands being observed. The action of a transverse magnetic field is to depopulate the sub-bands and form hybrid levels; a parallel field lifts the spin degeneracy and brings about a further quantisation of resistance at values h/2(i+¹/₂)e².

Original language	English (US)
Pages (from-to)	L209-L214
Journal	Journal of Physics C: Solid State Physics
Volume	21
Issue number	8
DOIs	https://doi.org/10.1088/0022-3719/21/8/002
State	Published - Mar 20 1988
Externally published	Yes

ASJC Scopus subject areas

Condensed Matter Physics
General Engineering
General Physics and Astronomy

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title = "Coupled coherent and incoherent motion of an excitation on a periodic linear chain",

abstract = "The authors present experimental results, and a supporting theory, showing that a one-dimensional system in which transport is ballistic possesses a quantised resistance, h/2ie2, where i is the number of occupied 1D sub-bands and the spin degeneracy is two. A short narrow channel is defined in the 2DEG of a GaAs-AlGaAs heterojunction and as the width of the system is changed, the sub-bands pass through the Fermi energy and the resistance jumps between quantised values. The value of the quantised resistance is derived and the accuracy of the quantisation is discussed. The effect can be strong at temperatures approximately 0.1 K, with up to 17 sub-bands being observed. The action of a transverse magnetic field is to depopulate the sub-bands and form hybrid levels; a parallel field lifts the spin degeneracy and brings about a further quantisation of resistance at values h/2(i+1/2)e2.",

author = "Wharam, {D. A.} and Thornton, {T. J.} and R. Newbury and M. Pepper and H. Ahmed and Frost, {J. E.F.} and Hasko, {D. G.} and Peacock, {D. C.} and Ritchie, {D. A.} and Jones, {G. A.C.}",

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doi = "10.1088/0022-3719/21/8/002",

language = "English (US)",

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T1 - Coupled coherent and incoherent motion of an excitation on a periodic linear chain

AU - Wharam, D. A.

AU - Thornton, T. J.

AU - Newbury, R.

AU - Pepper, M.

AU - Ahmed, H.

AU - Frost, J. E.F.

AU - Hasko, D. G.

AU - Peacock, D. C.

AU - Ritchie, D. A.

AU - Jones, G. A.C.

PY - 1988/3/20

Y1 - 1988/3/20

N2 - The authors present experimental results, and a supporting theory, showing that a one-dimensional system in which transport is ballistic possesses a quantised resistance, h/2ie2, where i is the number of occupied 1D sub-bands and the spin degeneracy is two. A short narrow channel is defined in the 2DEG of a GaAs-AlGaAs heterojunction and as the width of the system is changed, the sub-bands pass through the Fermi energy and the resistance jumps between quantised values. The value of the quantised resistance is derived and the accuracy of the quantisation is discussed. The effect can be strong at temperatures approximately 0.1 K, with up to 17 sub-bands being observed. The action of a transverse magnetic field is to depopulate the sub-bands and form hybrid levels; a parallel field lifts the spin degeneracy and brings about a further quantisation of resistance at values h/2(i+1/2)e2.

AB - The authors present experimental results, and a supporting theory, showing that a one-dimensional system in which transport is ballistic possesses a quantised resistance, h/2ie2, where i is the number of occupied 1D sub-bands and the spin degeneracy is two. A short narrow channel is defined in the 2DEG of a GaAs-AlGaAs heterojunction and as the width of the system is changed, the sub-bands pass through the Fermi energy and the resistance jumps between quantised values. The value of the quantised resistance is derived and the accuracy of the quantisation is discussed. The effect can be strong at temperatures approximately 0.1 K, with up to 17 sub-bands being observed. The action of a transverse magnetic field is to depopulate the sub-bands and form hybrid levels; a parallel field lifts the spin degeneracy and brings about a further quantisation of resistance at values h/2(i+1/2)e2.

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JO - Journal of Physics C: Solid State Physics

JF - Journal of Physics C: Solid State Physics

IS - 8

ER -

Coupled coherent and incoherent motion of an excitation on a periodic linear chain

Abstract

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