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Volumn 76, Issue 7, 2007, Pages

Electronic states in a magnetic quantum-dot molecule: Instabilities and spontaneous symmetry breaking

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EID: 34547965904     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.76.075319     Document Type: Article
Times cited : (13)

References (29)
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    • We note that the perturbation theory can be applied to a single QD system if the confining potential is sufficiently strong, i.e., ΔE Umag, where ΔE denotes the energies of all single-particle excitations and Umag is the magnetic interaction energy (Ref.). In the double QD, we should use a degenerate perturbation theory. To determine ψG within the zero-order perturbation theory, we write a wave function as a linear combination of two bound states (s and a). Then, the effect of all excited states on ψG can be estimated using the first-order corrections.
    • We note that the perturbation theory can be applied to a single QD system if the confining potential is sufficiently strong, i.e., ΔE Umag, where ΔE denotes the energies of all single-particle excitations and Umag is the magnetic interaction energy (Ref.). In the double QD, we should use a degenerate perturbation theory. To determine ψG within the zero-order perturbation theory, we write a wave function as a linear combination of two bound states (s and a). Then, the effect of all excited states on ψG can be estimated using the first-order corrections.
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    • For T∼ Tc2, the magnetic potential δU is small because of relatively high temperature. For the temperature interval T∼ Tc1, the matrix elements in Eq. 6 becomes small due to the orthogonality of wave functions.
    • For T∼ Tc2, the magnetic potential δU is small because of relatively high temperature. For the temperature interval T∼ Tc1, the matrix elements in Eq. 6 becomes small due to the orthogonality of wave functions.


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