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The limitation to intermediate and strong coupling is a technical one: at weak coupling size effects become more relevant and the adiabatic procedure employed in this work might fail.
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The limitation to intermediate and strong coupling is a technical one: at weak coupling size effects become more relevant and the adiabatic procedure employed in this work might fail.
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In one dimension and exactly at U=∞ all spin configurations are degenerate: however in the U→∞ limit the spin degeneracy is lifted and the ground state of the Heisenberg model is singled out.
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In one dimension and exactly at U = ∞ all spin configurations are degenerate: however in the U → ∞ limit the spin degeneracy is lifted and the ground state of the Heisenberg model is singled out.
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77954709334
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With the notation adopted in this work, at U→∞, εs (Q) =J π 2 | cos (Q) | for π 2
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With the notation adopted in this work, at U → ∞, ε s (Q) = J π 2 | cos (Q) | for π 2 < Q < 3 π 2.
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20
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77954736821
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Our definition of the spinon momentum Q, which for U→∞ must reduce to the total momentum of the Heisenberg wave function in Eq. , differs from the one usually adopted in Bethe Ansatz studies ( ps ) (Ref.): Q= 3 2 π- ps.
-
Our definition of the spinon momentum Q, which for U → ∞ must reduce to the total momentum of the Heisenberg wave function in Eq., differs from the one usually adopted in Bethe Ansatz studies (p s) (Ref.): Q = 3 2 π - p s.
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21
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At the special values of k defined by the coincidence of the two singularities the critical exponent changes from 1/2 to 3/4.
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At the special values of k defined by the coincidence of the two singularities the critical exponent changes from 1/2 to 3/4.
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24
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77954735012
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In experiments the lower branch is not detected because it usually overlaps with other valence bands of the compound.
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In experiments the lower branch is not detected because it usually overlaps with other valence bands of the compound.
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25
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77954722099
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The accuracy of the single spinon approximation is similar also at weaker coupling: for U=4t the completeness condition is violated at most by 0.015 at all k 's.
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The accuracy of the single spinon approximation is similar also at weaker coupling: for U = 4 t the completeness condition is violated at most by 0.015 at all k 's.
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26
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