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Magnetothermal Properties near Quantum Criticality in the Itinerant Metamagnet Sr3Ru2O7

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Abstract

In this chapter I will introduce the theoretical concepts and experimental data that are relevant to the study of Sr3Ru2O7 presented in this thesis. From a theoretical point of view the fundamental phenomena of a wide class of correlated electron systems are surprisingly well described by a non-interacting ‘Fermi gas’ theory. One of the first assumptions of this theory is not to take into account any electron–electron interactions besides Pauli’s Exclusion Principle. It is thanks to a theory by Landau [1–3] that we understand why the results for the Fermi gas also apply qualitatively to strongly interacting Fermi liquids. Since the properties of the metallic ground state of Sr3Ru2O7 in zero magnetic field are well described by the concepts of Landau's Fermi liquid theory I will review its most important results in the first part of this chapter. Indeed the predictions of Landau’s Fermi liquid theory are so robust that it is in particular the systems that go beyond that theory and show non-Fermi liquid behaviour that have attracted a wealth of experimental and theoretical, with the high temperature superconductors of the cuprate [4] and recently iron–pnictide families [5] being but two of the most famous examples. In particular, the concept of quantum criticality has been used experimentally as a route to novel quantum states and will be briefly discussed.

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Notes

  1. 1.

    They are replaced for a spherical Fermi surface by (k x  ± ik y ).

  2. 2.

    The high field limit here is the same as for quantum oscillations.

  3. 3.

    The presented equations only hold for closed Fermi surfaces. Open orbit surfaces require a separate treatment discussed for example in [6].

  4. 4.

    Though I will discuss here the theory primarily in terms of electrons it should be pointed out that it applies to all interacting Fermion systems, such as, for example, liquid 3He.

  5. 5.

    To be more precise it is the logarithmic derivative of the temperature dependent part of the resistivity ρ with respect to temperature T, \(\partial\ln(\rho-\rho_0)/\partial\ln T\), that is shown. Here ρ 0 is the residual resistivity. For more details see [34].

  6. 6.

    Strictly speaking AC magnetic susceptibility is not a thermodynamic probe but frequency dependent.

  7. 7.

    It has to be noted here that the simple addition of the resistivity tensors only holds for closed Fermi surfaces. If open orbits are present, the longitudinal magnetoresistance does not only depend on the magnitude of the applied magnetic field but also crucially on the orientation between the electric field and the open orbit, leading to significant anisotropies in transport. Intriguingly, if domains of different orbital orientations exist in the anomalous phase region that are orientable by a small in-plane magnetic field one would naturally expect ‘nematik-like’ transport properties similar to the ones observed by Borzi et al. To the authors best knowledge though discussed in private communications this path has not been explored in the theoretical literature so far.

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  1. Scottish Universities Physics Alliance (SUPA), School of Physics and Astronomy, University of St. Andrews, North Haugh, St. Andrews, KY16 9SS, UK

    Andreas W. Rost

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Rost, A.W. (2010). Background Physics. In: Magnetothermal Properties near Quantum Criticality in the Itinerant Metamagnet Sr3Ru2O7 . Springer Theses. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14524-7_2

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