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Volumn 67, Issue 24, 2003, Pages

Electron/nuclear spin domain walls in quantum Hall systems

Author keywords

[No Author keywords available]

Indexed keywords

ACCELERATION; ARTICLE; CALCULATION; ELECTRON; ENERGY; GAS; MOLECULAR INTERACTION; QUANTUM MECHANICS;

EID: 0043030023     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.67.245311     Document Type: Article
Times cited : (21)

References (53)
  • 2
    • 0242367938 scopus 로고    scopus 로고
    • The Quantum Hall Effect: Novel Excitations and Broken Symmetries
    • Les Houches Lecture Notes, edited by Alain Comtet, Thierry Jolicoeur, Stephane Ouvry, and François David Springer-Verlag, Berlin
    • S. M. Girvin, in The Quantum Hall Effect: Novel Excitations and Broken Symmetries, Les Houches Lecture Notes, Topological Aspects of Low Dimensional Systems, edited by Alain Comtet, Thierry Jolicoeur, Stephane Ouvry, and François David (Springer-Verlag, Berlin, 2000).
    • (2000) Topological Aspects of Low Dimensional Systems
    • Girvin, S.M.1
  • 18
    • 85039014336 scopus 로고    scopus 로고
    • This assumes that the ratio of the maximum nuclear Overhauser fields in bulk GaAs and in narrow wells scales as (Formula presented). Paget et al. (Ref. 22) calculated the maximum Overhauser fields in bulk GaAs to be 5.3 T, so that for narrow wells with g* = 0.053, this simple scaling argument gives a maximum Overhauser field of (Formula presented) But one should also take into account the fact that Overhauser fields in narrow wells also increase as a result of higher electron densities. We take this effect into account later in the section and arrive at a slightly larger estimate of (Formula presented) for 7.5-nm quantum wells
    • This assumes that the ratio of the maximum nuclear Overhauser fields in bulk GaAs and in narrow wells scales as (Formula presented). Paget et al. (Ref. 22) calculated the maximum Overhauser fields in bulk GaAs to be 5.3 T, so that for narrow wells with g* = 0.053, this simple scaling argument gives a maximum Overhauser field of (Formula presented) But one should also take into account the fact that Overhauser fields in narrow wells also increase as a result of higher electron densities. We take this effect into account later in the section and arrive at a slightly larger estimate of (Formula presented) for 7.5-nm quantum wells.
  • 20
    • 85039025247 scopus 로고    scopus 로고
    • (private communication)
    • J. M. Kikkawa (private communication).
    • Kikkawa, J.M.1
  • 25
    • 85039019352 scopus 로고    scopus 로고
    • The chosen variational form was shown by Falko and Iordanskii to satisfy the saddle-point equation for θ when the Zeeman field changes sign abruptly at x = 0. We have chosen the same form for mathematical convenience. Because in our model the Zeeman field changes sign smoothly, we find the optimal value of β to be smaller. Other variational forms should yield quantitatively similar estimates for the domain-wall width
    • The chosen variational form was shown by Falko and Iordanskii to satisfy the saddle-point equation for θ when the Zeeman field changes sign abruptly at x = 0. We have chosen the same form for mathematical convenience. Because in our model the Zeeman field changes sign smoothly, we find the optimal value of β to be smaller. Other variational forms should yield quantitatively similar estimates for the domain-wall width.
  • 26
    • 85039008253 scopus 로고    scopus 로고
    • 2 contribute to higher-order derivative terms proportional to (Formula presented) that we drop in our effective action since (Formula presented) is massive
    • 2 contribute to higher-order derivative terms proportional to (Formula presented) that we drop in our effective action since (Formula presented) is massive.
  • 28
    • 85038991629 scopus 로고    scopus 로고
    • cond-mat/9906032 (unpublished)
    • L. Balents, cond-mat/9906032 (unpublished).
    • Balents, L.1
  • 30
    • 85039007781 scopus 로고    scopus 로고
    • (private communication)
    • Sean Barrett (private communication).
    • Barrett, S.1
  • 35
    • 85039031408 scopus 로고    scopus 로고
    • 1 times will be on the same scale as that evaluated in Eq. (9) for a linear domain wall
    • 1 times will be on the same scale as that evaluated in Eq. (9) for a linear domain wall.
  • 39
    • 8544249434 scopus 로고
    • [JETP Lett. 56, 253 (1992)].
    • (1992) JETP Lett. , vol.56 , pp. 253
  • 45
    • 85038982932 scopus 로고    scopus 로고
    • 2/εl ∼ 100 K
    • 2/εl ∼ 100 K.
  • 47
    • 4243503951 scopus 로고    scopus 로고
    • For a dilute system of colliding solitons, the calculation for the noise can still be done on the lines of the following reference, which deals with kink-antikink dynamics in the 1D Ising model in a transverse field
    • For a dilute system of colliding solitons, the calculation for the noise can still be done on the lines of the following reference, which deals with kink-antikink dynamics in the 1D Ising model in a transverse field: S. Sachdev and A. P. Young, Phys. Rev. Lett. 78, 2220 (1997).
    • (1997) Phys. Rev. Lett. , vol.78 , pp. 2220
    • Sachdev, S.1    Young, A.P.2
  • 51
    • 85039032130 scopus 로고    scopus 로고
    • We thank J. P. Eisenstein for suggesting this
    • We thank J. P. Eisenstein for suggesting this.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.