Universality in Metallic Nanocohesion

A Quantum Chaos Approach

Charles A Stafford, F. Kassubek, J. Bürki, Hermann Grabert

Research output: Contribution to journalArticle

24 Citations (Scopus)

Abstract

Convergent semiclassical trace formulas for the density of states and the cohesive force of a narrow constriction in an electron gas, whose classical motion is either chaotic or integrable, are derived. It is shown that mode quantization in a metallic point contact or nanowire leads to universal oscillations in its cohesive force: the amplitude of the oscillations depends only on a dimensionless quantum parameter describing the crossover from chaotic to integrable motion, and is of order 1 nN, in agreement with recent experiments.

Original languageEnglish (US)
Pages (from-to)4836-4839
Number of pages4
JournalPhysical Review Letters
Volume83
Issue number23
StatePublished - Dec 6 1999

Fingerprint

chaos
oscillations
electron gas
constrictions
crossovers
nanowires

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Stafford, C. A., Kassubek, F., Bürki, J., & Grabert, H. (1999). Universality in Metallic Nanocohesion: A Quantum Chaos Approach. Physical Review Letters, 83(23), 4836-4839.

Universality in Metallic Nanocohesion : A Quantum Chaos Approach. / Stafford, Charles A; Kassubek, F.; Bürki, J.; Grabert, Hermann.

In: Physical Review Letters, Vol. 83, No. 23, 06.12.1999, p. 4836-4839.

Research output: Contribution to journalArticle

Stafford, CA, Kassubek, F, Bürki, J & Grabert, H 1999, 'Universality in Metallic Nanocohesion: A Quantum Chaos Approach', Physical Review Letters, vol. 83, no. 23, pp. 4836-4839.
Stafford CA, Kassubek F, Bürki J, Grabert H. Universality in Metallic Nanocohesion: A Quantum Chaos Approach. Physical Review Letters. 1999 Dec 6;83(23):4836-4839.
Stafford, Charles A ; Kassubek, F. ; Bürki, J. ; Grabert, Hermann. / Universality in Metallic Nanocohesion : A Quantum Chaos Approach. In: Physical Review Letters. 1999 ; Vol. 83, No. 23. pp. 4836-4839.
@article{a114a99f12044e699e198aee20fe5215,
title = "Universality in Metallic Nanocohesion: A Quantum Chaos Approach",
abstract = "Convergent semiclassical trace formulas for the density of states and the cohesive force of a narrow constriction in an electron gas, whose classical motion is either chaotic or integrable, are derived. It is shown that mode quantization in a metallic point contact or nanowire leads to universal oscillations in its cohesive force: the amplitude of the oscillations depends only on a dimensionless quantum parameter describing the crossover from chaotic to integrable motion, and is of order 1 nN, in agreement with recent experiments.",
author = "Stafford, {Charles A} and F. Kassubek and J. B{\"u}rki and Hermann Grabert",
year = "1999",
month = "12",
day = "6",
language = "English (US)",
volume = "83",
pages = "4836--4839",
journal = "Physical Review Letters",
issn = "0031-9007",
publisher = "American Physical Society",
number = "23",

}

TY - JOUR

T1 - Universality in Metallic Nanocohesion

T2 - A Quantum Chaos Approach

AU - Stafford, Charles A

AU - Kassubek, F.

AU - Bürki, J.

AU - Grabert, Hermann

PY - 1999/12/6

Y1 - 1999/12/6

N2 - Convergent semiclassical trace formulas for the density of states and the cohesive force of a narrow constriction in an electron gas, whose classical motion is either chaotic or integrable, are derived. It is shown that mode quantization in a metallic point contact or nanowire leads to universal oscillations in its cohesive force: the amplitude of the oscillations depends only on a dimensionless quantum parameter describing the crossover from chaotic to integrable motion, and is of order 1 nN, in agreement with recent experiments.

AB - Convergent semiclassical trace formulas for the density of states and the cohesive force of a narrow constriction in an electron gas, whose classical motion is either chaotic or integrable, are derived. It is shown that mode quantization in a metallic point contact or nanowire leads to universal oscillations in its cohesive force: the amplitude of the oscillations depends only on a dimensionless quantum parameter describing the crossover from chaotic to integrable motion, and is of order 1 nN, in agreement with recent experiments.

UR - http://www.scopus.com/inward/record.url?scp=0000107764&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0000107764&partnerID=8YFLogxK

M3 - Article

VL - 83

SP - 4836

EP - 4839

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 23

ER -