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Volumn 82, Issue 17, 2010, Pages

Impurity-doped kagome antiferromagnet: A quantum dimer model approach

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EID: 78649706798     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.82.174424     Document Type: Article
Times cited : (28)

References (49)
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    • Theoretical NMR spectra have been derived on a N=12 sites cluster of the kagome QHAF with two impurities;
    • Theoretical NMR spectra have been derived on a N = 12 sites cluster of the kagome QHAF with two impurities
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    • In the very diluted limit, the magnetic response scales with the impurity concentration
    • In the very diluted limit, the magnetic response scales with the impurity concentration.
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    • A priori binding of two spinons does not necessarily require asymptotic confinement and can take place in a deconfined spin-liquid phase
    • A priori binding of two spinons does not necessarily require asymptotic confinement and can take place in a deconfined spin-liquid phase.
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    • Other local resonances induced by the impurity itself exist but have negligible effects
    • Other local resonances induced by the impurity itself exist but have negligible effects.
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    • The 48-site and 75-site clusters used here possess all the point group symmetries of the (infinite) kagome lattice. Although they do not accommodate the VBC 36-site cell, they still capture correctly the local physics around impurities. The largest Hilbert spaces are obtained for a single impurity in 75 sites (4 194 304 symmetrized states) and for two spinons and two impurities in 48 sites (8 511 488 states)
    • The 48-site and 75-site clusters used here possess all the point group symmetries of the (infinite) kagome lattice. Although they do not accommodate the VBC 36-site cell, they still capture correctly the local physics around impurities. The largest Hilbert spaces are obtained for a single impurity in 75 sites (4 194 304 symmetrized states) and for two spinons and two impurities in 48 sites (8 511 488 states).
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    • The (0,1), (1,0), and (1,1) sectors are degenerate. See Ref..
    • The (0,1), (1,0), and (1,1) sectors are degenerate. See Ref..
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    • This class of dimer liquid-VBC quantum phase transition can be described by a specific field theory, see, 10.1103/PhysRevB.79.064405
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    • This contrasts with the case of the pure system where the spectral gap corresponds to a double-vison excitation. See Ref.
    • This contrasts with the case of the pure system where the spectral gap corresponds to a double-vison excitation. See Ref..
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    • see Fig. 4(b) of this reference
    • see Fig. 4(b) of this reference.
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    • Instead, imposing the magnetic field would require the knowledge of the field (and temperature) dependence of the macroscopic magnetization
    • Instead, imposing the magnetic field would require the knowledge of the field (and temperature) dependence of the macroscopic magnetization.
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    • In that case, the bound state size is relatively large so that the 48-site cluster with a single impurity is still too small to observe real confinement
    • In that case, the bound state size is relatively large so that the 48-site cluster with a single impurity is still too small to observe real confinement.


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