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Spectral function and fidelity susceptibility in quantum critical phenomena

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 نشر من قبل Shi-Jian Gu
 تاريخ النشر 2014
  مجال البحث فيزياء
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In this paper, we derive a simple equality that relates the spectral function $I(k,omega)$ and the fidelity susceptibility $chi_F$, i.e. $% chi_F=lim_{etarightarrow 0}frac{pi}{eta} I(0, ieta)$ with $eta$ being the half-width of the resonance peak in the spectral function. Since the spectral function can be measured in experiments by the neutron scattering or the angle-resolved photoemission spectroscopy(ARPES) technique, our equality makes the fidelity susceptibility directly measurable in experiments. Physically, our equality reveals also that the resonance peak in the spectral function actually denotes a quantum criticality-like point at which the solid state seemly undergoes a significant change.



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