Aharonov-Bohm ballistic billiards

L. P. Lévy; D. H. Reich; L. Pfeiffer; K. West

doi:10.1016/0921-4526(93)90161-X

Aharonov-Bohm ballistic billiards

L. P. Lévy, D. H. Reich, L. Pfeiffer, K. West

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

78 Scopus citations

Abstract

The measured orbital susceptibility of an array of 10⁵ isolated Ga-As squares of area L² = 4.5 × 4.5 μm² has a paramagnetic contribution ≈k_FL = 100 times larger than the Landau susceptibility. With increasing magnetic field, this paramagnetic susceptibility decreases on a field scale of order H₀ ≈ φ₀/L², where φ₀ = h/e is the flux quantum. As the temperature is raised, this orbital paramagnetism decreases on the scale of 0.5 K ≈ E_c/2 where E_c = hv_F/L is the correlation energy. These experimental findings can be checked using Coulomb blockade spectroscopy. To this end, the thermodynamic relations between chemical potential and orbital currents are derived.

Original language	English (US)
Pages (from-to)	204-209
Number of pages	6
Journal	Physica B: Physics of Condensed Matter
Volume	189
Issue number	1-4
DOIs	https://doi.org/10.1016/0921-4526(93)90161-X
State	Published - Jun 1993
Externally published	Yes

All Science Journal Classification (ASJC) codes

Electronic, Optical and Magnetic Materials
Condensed Matter Physics
Electrical and Electronic Engineering

Access to Document

10.1016/0921-4526(93)90161-X

Cite this

@article{0a4ef738559b4b1ca6d9304d7de923a7,

title = "Aharonov-Bohm ballistic billiards",

abstract = "The measured orbital susceptibility of an array of 105 isolated Ga-As squares of area L2 = 4.5 × 4.5 μm2 has a paramagnetic contribution ≈kFL = 100 times larger than the Landau susceptibility. With increasing magnetic field, this paramagnetic susceptibility decreases on a field scale of order H0 ≈ φ0/L2, where φ0 = h/e is the flux quantum. As the temperature is raised, this orbital paramagnetism decreases on the scale of 0.5 K ≈ Ec/2 where Ec = hvF/L is the correlation energy. These experimental findings can be checked using Coulomb blockade spectroscopy. To this end, the thermodynamic relations between chemical potential and orbital currents are derived.",

author = "L{\'e}vy, {L. P.} and Reich, {D. H.} and L. Pfeiffer and K. West",

year = "1993",

month = jun,

doi = "10.1016/0921-4526(93)90161-X",

language = "English (US)",

volume = "189",

pages = "204--209",

journal = "Physica B: Physics of Condensed Matter",

issn = "0921-4526",

publisher = "Elsevier",

number = "1-4",

}

TY - JOUR

T1 - Aharonov-Bohm ballistic billiards

AU - Lévy, L. P.

AU - Reich, D. H.

AU - Pfeiffer, L.

AU - West, K.

PY - 1993/6

Y1 - 1993/6

N2 - The measured orbital susceptibility of an array of 105 isolated Ga-As squares of area L2 = 4.5 × 4.5 μm2 has a paramagnetic contribution ≈kFL = 100 times larger than the Landau susceptibility. With increasing magnetic field, this paramagnetic susceptibility decreases on a field scale of order H0 ≈ φ0/L2, where φ0 = h/e is the flux quantum. As the temperature is raised, this orbital paramagnetism decreases on the scale of 0.5 K ≈ Ec/2 where Ec = hvF/L is the correlation energy. These experimental findings can be checked using Coulomb blockade spectroscopy. To this end, the thermodynamic relations between chemical potential and orbital currents are derived.

AB - The measured orbital susceptibility of an array of 105 isolated Ga-As squares of area L2 = 4.5 × 4.5 μm2 has a paramagnetic contribution ≈kFL = 100 times larger than the Landau susceptibility. With increasing magnetic field, this paramagnetic susceptibility decreases on a field scale of order H0 ≈ φ0/L2, where φ0 = h/e is the flux quantum. As the temperature is raised, this orbital paramagnetism decreases on the scale of 0.5 K ≈ Ec/2 where Ec = hvF/L is the correlation energy. These experimental findings can be checked using Coulomb blockade spectroscopy. To this end, the thermodynamic relations between chemical potential and orbital currents are derived.

UR - http://www.scopus.com/inward/record.url?scp=0027610512&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0027610512&partnerID=8YFLogxK

U2 - 10.1016/0921-4526(93)90161-X

DO - 10.1016/0921-4526(93)90161-X

M3 - Article

AN - SCOPUS:0027610512

SN - 0921-4526

VL - 189

SP - 204

EP - 209

JO - Physica B: Physics of Condensed Matter

JF - Physica B: Physics of Condensed Matter

IS - 1-4

ER -

Aharonov-Bohm ballistic billiards

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this