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Volumn 50, Issue 23, 1994, Pages 17151-17161

Magnetic susceptibility of ballistic microstructures

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EID: 0000944217     PISSN: 01631829     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevB.50.17151     Document Type: Article
Times cited : (59)

References (39)
  • 19
    • 84927489261 scopus 로고    scopus 로고
    • A preliminary account of this work was given in F. von Oppen, Ph.D. thesis, University of Washington, 1993.
  • 20
    • 84927504946 scopus 로고    scopus 로고
    • I learned recently that similar results were obtained independently by D. Ullmo, K. Richter, and R. Jalabert (unpublished).
  • 35
    • 84927470052 scopus 로고    scopus 로고
    • The precise condition for the validity of this approximation is slightly more stringent than the assumption Rc>> min lcurl LT, Lφrcurl. At zero field, Rc is infinite and the calculation is valid even for T=0. One easily convinces oneself that the contribution of each primitive orbit and its retracings diverges logarithmically for T=0 and B=0. Hence the approximation of retaining only the (1,1) orbit and its retracing requires nonzero temperature (or finite inelastic scattering length) also for B=0. It is important to note, however, that a divergence of the susceptibility for T=0 is not unphysical for integrable systems. In fact, a cusp of the ground-state energy as a function of magnetic field arising from an exact level crossing leads to a delta spike in the susceptibility. In the grand-canonical ensemble, a delta spike also appears whenever a level crosses the chemical potential. By contrast, the magnetization remains finite in both cases. In fact, the analog of Eq. (16) for the magnetization is properly convergent even for T=0.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.