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Physical Review Letters
Volumn 69, Issue 2, 1992, Pages 343-346
Parity effects in a Luttinger liquid: Diamagnetic and paramagnetic ground states
Author keywords

[No Author keywords available]
Indexed keywords

EID: 3943105820     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevLett.69.343     Document Type: Article
Times cited : (220)
References (32)
  • 20
    • 84927885588 scopus 로고    scopus 로고
    • A. J. Leggett, in Granular Nanoelectronics, edited by D. K. Ferry, J. R. Barker, and C. Jacoboni, NATO ASI Ser. B, Vol. 251 (Plenum, New York, 1991), p. 297.
  • 21
    • 0000715705 scopus 로고
    • For the case without external AB flux, see also related (conformal field theoretical) investigations of boundary effects in the Ashkin-Teller model by
    • (1987) Nucl. Phys. , vol.285 B , pp. 481
    • Zamolodchikov1
  • 25
    • 84927885586 scopus 로고    scopus 로고
    • Note that the proper Fermi wave vector is parity dependent: kF= π / 2, if N0 is even, and kF= ( π / 2) ( 1 - 1 / N0), if N0 is odd.
  • 26
    • 84927885583 scopus 로고    scopus 로고
    • Equation (10) implies that partialxctheta / sqrt pi is the current density and partialxφ / sqrt pi is the particle density. Thus, J = : N-- N+ : is the topological current, and M = : N++ N-: is the number of particles left after the subtraction of the number of particles present in the ground state.
  • 27
    • 0001402383 scopus 로고
    • This is easily seen by writing < φJ| φJsprime> = tsumJ< φJ| J > < J | φJsprime>, splitting the sum into even and odd integers and making use of Poisson's summation formula. For similar manipulations see also, Sec. IV.C.
    • (1992) Phys. Rev. B , vol.45 , pp. 13544
    • Loss, D.1    Goldbart, P.2
  • 28
    • 84927885580 scopus 로고    scopus 로고
    • The prefactor lcurl sin ( π x / L ) rcurl-1 results from normal ordering before evaluating the functional integral in phase space.
  • 29
    • 84927885567 scopus 로고    scopus 로고
    • (to be published). The author also calculates persistent currents using bosonization techniques including spin. However, the issues of parity, topological excitations, and periodicity are not addressed, and, moreover, the finite-size dependence of the current amplitude differs from the result found in the present work.
    • Schmeltzer, D.1
  • 32
    • 84927885566 scopus 로고    scopus 로고
    • Evidently, the question of how this effective behavior comes about is beyond the scope of the present 1D approach.

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.