By Kaganov M.I.

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There are still loose ends, but they are mainly of a quantitative nature. An example that is of relevance in the context of this book is the difficulty of addressing the hydrodynamical regime, as defined by the measurement frequency being small compared with the temperature. The Wick rotation becomes here very hazardous, where even state-of-the-art quantum Monte Carlo computations on simple systems fall short in terms of delivering results. However, it is relatively straightforward to deduce the qualitative nature of the physics in this regime on the basis of simple scaling arguments.

There are no Fermi surfaces, and in the extreme case of the local quantum critical states the spectral functions become power-law functions of energy, while the exponents are dependent on momentum. 2). Furthermore, the damping of the quasiparticles can also be tuned. Depending on the parameter choice, a quite literal “marginal Fermi liquid” can be realised, where the quasiparticles are on the verge of becoming overdamped, much like the marginal Fermi-liquid phenomenology introduced in the late 1980s to describe the normal state of high-Tc superconductors.

12 on Sat Nov 21 06:14:12 GMT 2015. 002 Cambridge Books Online © Cambridge University Press, 2015 24 Introduction the Fermi surface. It again suggests that strongly coupled fermion physics plays a crucial role. 3). Of foremost interest is the most basic property of any metal: its optical conductivity. The dictionary translates this directly into the computation of the propagation of photons in the bulk gravitational background. The result looks not that remarkable: it could be easily confused with the optical conductivity of a simple free-electron band-structure system.

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Electrons, Phonons, Magnons by Kaganov M.I.
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