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Volumn 64, Issue 21, 2001, Pages

Ground-state magnetization for interacting fermions in a disordered potential: Kinetic energy, exchange interaction, and off-diagonal fluctuations

Author keywords

[No Author keywords available]

Indexed keywords

ACCELERATION; ARTICLE; ELEMENTARY PARTICLE; ENERGY TRANSFER; KINETICS; MAGNETISM; MATHEMATICAL MODEL; MOLECULAR DYNAMICS; MOLECULAR INTERACTION; MOLECULAR MODEL; QUANTUM MECHANICS; ROTATION;

EID: 0035578301     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.64.214416     Document Type: Article
Times cited : (44)

References (83)
  • 1
    • 0001039217 scopus 로고    scopus 로고
    • Ph. Jacquod and A. D. Stone, Phys. Rev. Lett. 84, 3938 (2000)
    • Ph. Jacquod and A. D. Stone, Phys. Rev. Lett. 84, 3938 (2000).
  • 2
    • 36149062051 scopus 로고
    • see also S. Doniach and E. Sondheimer, Green’s Functions for Solid State Physicists (Addison-Wesley, Reading, MA, 1974)
    • E. C. Stoner, Rep. Prog. Phys. 11, 43 (1947);see also S. Doniach and E. Sondheimer, Green’s Functions for Solid State Physicists (Addison-Wesley, Reading, MA, 1974).
    • (1947) Rep. Prog. Phys. , vol.11 , pp. 43
    • Stoner, E.C.1
  • 5
    • 85038345145 scopus 로고    scopus 로고
    • cond-mat/0012203 (unpublished)
    • For ferromagnetism in Hubbard-like models, see, e.g., D. Vollhardt, N. Blümer, K. Held, and M. Kollar, cond-mat/0012203 (unpublished)
    • Vollhardt, D.1    Blümer, N.2    Held, K.3    Kollar, M.4
  • 7
    • 85038291143 scopus 로고    scopus 로고
    • We will use the notations (Formula presented) and (Formula presented) for spin operators and (Formula presented) and (Formula presented) for the corresponding eigenvalues
    • We will use the notations (Formula presented) and (Formula presented) for spin operators and (Formula presented) and (Formula presented) for the corresponding eigenvalues.
  • 8
    • 85038285866 scopus 로고    scopus 로고
    • B. L. Altshuler and A. G. Aronov, in Electron-electron Interaction in Disordered Systems, edited by A.J. Efros and M. Pollak (Elsevier, New York, 1985)
    • B. L. Altshuler and A. G. Aronov, in Electron-electron Interaction in Disordered Systems, edited by A.J. Efros and M. Pollak (Elsevier, New York, 1985).
  • 12
    • 85038285272 scopus 로고    scopus 로고
    • cond-mat/0103098 (unpublished)
    • D. Ullmo and H. U. Baranger, cond-mat/0103098 (unpublished).
    • Ullmo, D.1    Baranger, H.U.2
  • 16
  • 26
    • 0034340611 scopus 로고    scopus 로고
    • Ph. Jacquod and A. D. Stone, Phys. Status Solidi: A 218, 113 (2000)
    • Ph. Jacquod and A. D. Stone, Phys. Status Solidi: A 218, 113 (2000).
  • 27
    • 85038292303 scopus 로고    scopus 로고
    • To avoid degeneracies in the (Formula presented) many-body spectrum, we added in our numerics a small random part to the equidistant spectrum, (Formula presented) (Formula presented)
    • To avoid degeneracies in the (Formula presented) many-body spectrum, we added in our numerics a small random part to the equidistant spectrum, (Formula presented) (Formula presented).
  • 30
    • 85038347501 scopus 로고    scopus 로고
    • Ya. M. Blanter and M. E. Raikh, cond-mat/0004327 (unpublished)
    • Ya. M. Blanter and M. E. Raikh, cond-mat/0004327 (unpublished).
  • 33
    • 85038345210 scopus 로고    scopus 로고
    • Note that this is a necessary but not sufficient condition. For example combining two (Formula presented) (Formula presented) objects gives a nonzero (Formula presented) component
    • Note that this is a necessary but not sufficient condition. For example combining two (Formula presented) (Formula presented) objects gives a nonzero (Formula presented) component.
  • 40
    • 85038282536 scopus 로고    scopus 로고
    • Phys. Rev. Lett.Ph. Jacquod and D. L. Shepelyansky, 79, 1837 (1997)
    • Phys. Rev. Lett.Ph. Jacquod and D. L. Shepelyansky, 79, 1837 (1997).
  • 45
    • 0001084632 scopus 로고    scopus 로고
    • Y. Alhassid, Ph. Jacquod, and A. Wobst, Phys. Rev. B 61, R13 357 (2000)
    • Y. Alhassid, Ph. Jacquod, and A. Wobst, Phys. Rev. B 61, R13 357 (2000)
  • 46
    • 0035283278 scopus 로고    scopus 로고
    • Y. Alhassid, Ph. Jacquod, and A. Wobst, Photonics Spectra 9, 393 (2001)
    • Y. Alhassid, Ph. Jacquod, and A. Wobst, Photonics Spectra 9, 393 (2001)
  • 47
    • 85038331611 scopus 로고    scopus 로고
    • cond-mat/0003255 (unpublished)
    • Y. Alhassid and A. Wobst, cond-mat/0003255 (unpublished)
    • Alhassid, Y.1    Wobst, A.2
  • 59
    • 0034294402 scopus 로고    scopus 로고
    • For a special class of randomly interacting bosonic models a mapping onto random polynomials has been constructed which quantitatively reproduces the angular momentum distribution of the ground state: D. Kusnezov, Phys. Rev. Lett. 85, 3773 (2000).
    • (2000) Phys. Rev. Lett. , vol.85 , pp. 3773
    • Kusnezov, D.1
  • 61
    • 33744694362 scopus 로고
    • Note, however, that the ground-state distribution for the GOE has a typical width (Formula presented) so that the distributions of the two yrasts strongly overlap: C. A. Tracy and H. Widom, Commun. Math. Phys. 87, 449 (1983).
    • (1983) Commun. Math. Phys. , vol.87 , pp. 449
    • Tracy, C.A.1    Widom, H.2
  • 64
    • 0000025017 scopus 로고    scopus 로고
    • Ya. M. Blanter, Phys. Rev. B 54, 12 807 (1996)
    • Ya. M. Blanter, Phys. Rev. B 54, 12 807 (1996).
  • 65
    • 0000267791 scopus 로고    scopus 로고
    • Ya. M. Blanter and A. D. Mirlin, Phys. Rev. E 55, 6514 (1997)
    • Ya. M. Blanter and A. D. Mirlin, Phys. Rev. E 55, 6514 (1997).
  • 66
    • 85038345440 scopus 로고    scopus 로고
    • Note that also in absence of fluctuations it is easier to magnetize an even number than an odd number of fermions as the doubling of the spin gap at (Formula presented) from (Formula presented) to (Formula presented) is only partially compensated by a 1.5-fold increase of the gain in exchange energy
    • Note that also in absence of fluctuations it is easier to magnetize an even number than an odd number of fermions as the doubling of the spin gap at (Formula presented) from (Formula presented) to (Formula presented) is only partially compensated by a 1.5-fold increase of the gain in exchange energy.
  • 69
    • 85038296154 scopus 로고    scopus 로고
    • Ph. Jacquod, cond-mat/0102345 (unpublished)
    • Ph. Jacquod, cond-mat/0102345 (unpublished).
  • 70
    • 85038327334 scopus 로고    scopus 로고
    • We use (Formula presented) indifferently for both even and odd n even though in the latter case one should write (Formula presented)
    • We use (Formula presented) indifferently for both even and odd n even though in the latter case one should write (Formula presented).
  • 71
    • 85038348624 scopus 로고    scopus 로고
    • This is already the case in the perturbative regime where this width is essentially determined by first-order corrections. However, the dependence in n and m is different
    • This is already the case in the perturbative regime where this width is essentially determined by first-order corrections. However, the dependence in n and m is different.
  • 72
    • 85038323606 scopus 로고    scopus 로고
    • These results should be considered as a limit (Formula presented) as fluctuations are destroyed in a clean system
    • These results should be considered as a limit (Formula presented) as fluctuations are destroyed in a clean system.
  • 74
    • 85038286546 scopus 로고    scopus 로고
    • This is not exactly true as the infinite-ranged interaction destroys both fluctuations and exchange exactly. This result should be considered as a limit (Formula presented) (Formula presented)
    • This is not exactly true as the infinite-ranged interaction destroys both fluctuations and exchange exactly. This result should be considered as a limit (Formula presented) (Formula presented).
  • 75
    • 6244254091 scopus 로고    scopus 로고
    • Ya. M. Blanter, A. D. Mirlin, and B. A. Muzykantskii, Phys. Rev. Lett. 78, 2449 (1997)
    • Ya. M. Blanter, A. D. Mirlin, and B. A. Muzykantskii, Phys. Rev. Lett. 78, 2449 (1997).
  • 76
    • 0014380789 scopus 로고
    • ). This coupling causes a large, common energy shift of all the conductance peaks and experimentally one commonly subtracts it by considering the spacings between neighboring peaks (Formula presented) (Ref. c49). We are indebted to D. Goldhaber-Gordon for pointing this out to us
    • There is, however, a non-negligible coupling between the transverse component of the electronic wave function and the magnetic field: F. Stern, Phys. Rev. Lett. 21, 1687 (1968). This coupling causes a large, common energy shift of all the conductance peaks and experimentally one commonly subtracts it by considering the spacings between neighboring peaks (Formula presented) (Ref. 49). We are indebted to D. Goldhaber-Gordon for pointing this out to us.
    • (1968) Phys. Rev. Lett. , vol.21 , pp. 1687
    • Stern, F.1
  • 80
    • 0002803777 scopus 로고
    • Zh. Éksp. Teor. Fiz. 84, 168 (1983)
    • A. M. Finkelstein, Zh. Éksp. Teor. Fiz. 84, 168 (1983) [Sov. Phys. JETP 57, 97 (1983)]
    • (1983) Sov. Phys. JETP , vol.57 , pp. 97
    • Finkelstein, A.M.1


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