The de Haas–van Alphen effect at a quantum critical point

Peter S. Riseborough

Energy, 2005, vol. 30, issue 6, 885-895

Abstract: Many heavy-fermion systems are close to a quantum critical point in that, as pressure is varied, the paramagnetic heavy-fermion phase becomes unstable to a magnetically ordered phase at zero temperature. The superconducting phases all occur within a narrow range of pressures centered around the quantum critical point. In materials such as UGe2, the paramagnetic phase is unstable to a ferromagnetically ordered phase. In this case, the heavy-fermion superconducting phase is contained within the ferromagnetic phase. We examine the effect of quantum critical fluctuations on the heavy quasi-particles, and how these effects are manifested in the de Haas–van Alphen oscillations. It is found that the non-linear field-dependence of the susceptibility becomes vitally important as the quantum critical point is approached, and can give rise to a logarithmic dependence of the quasi-particle mass on the applied field.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:eee:energy:v:30:y:2005:i:6:p:885-895

DOI: 10.1016/j.energy.2004.04.012

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