Transport Phenomena in Strongly Correlated Fermi Liquids
In conventional metals, various transport coefficients are scaled according to the quasiparticles relaxation time, \tau, which implies that the relaxation time approximation (RTA) holds well. However, such a simple scaling does not hold in many strongly correlated electron systems, reflecting their unique electronic states. The most famous example would be high-Tc superconductors (HTSCs), where almost all the transport coefficients exhibit a significant deviation from the RTA results. To understand the origin, we develop a method for calculating various transport coefficients beyond the RTA by employing field theoretical techniques. Near the magnetic quantum critical point, the current vertex correction (CVC), which describes the electron-electron scattering beyond the relaxation time approximation, gives rise to various anomalous transport phenomena. We explain anomalous transport phenomena in HTSCs and other metals near their antiferromagnetic quantum critical point in a unified way. We also discuss spin transport phenomena in strongly correlated systems. In many d- and f-electron systems, the spin current induced by the spin Hall effect is considerably larger than that in semimetals. This fact attracts much attention due to its potential application in spintronics. We discuss various novel charge, spin and orbital transport phenomena in metals.
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