Dynamics of a Quantum Spin Liquid by Johannes Knolle

Author:Johannes Knolle
Language: eng
Format: epub, pdf
Publisher: Springer International Publishing, Cham

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The X-ray edge can be thought of as a dynamical version of the orthogonality catastrophe with the emission being changed to the singular form

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which is illustrated in Fig. 3.6. The power law exponents α and β are actually related and can be calculated exactly in terms of phase shifts for the case of a Fermi liquid (Gogolin et al. 1998).

Fig. 3.6The qualitative change of the X-ray absorption rate I(ω) is shown once the dynamical nature of the core hole potential is taken into account. Instead of simply being proportional to the density of states of the conduction band, I(ω) becomes a power-law divergent function at the sharp threshold ω th = ε F −ε c

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