Aharonov-Bohm ballistic billiards

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

Research output: Contribution to journalArticlepeer-review

78 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)204-209
Number of pages6
JournalPhysica B: Physics of Condensed Matter
Issue number1-4
StatePublished - Jun 1993
Externally publishedYes

All Science Journal Classification (ASJC) codes

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


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