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In conventional metals, various transport coefficients are scaled according to the quasiparticle relaxation time, au, 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 cuprate high-Tc superconductors (HTSCs), where almost all the transport coefficients exhibit a significant deviation from the RTA results. To better understand the origin of this discrepancy, 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 cuprate HTSCs and other metals near their magnetic or orbital quantum critical point using a uniform approach. We also discuss spin related transport phenomena in strongly correlated systems. In many d- and f-electron systems, the spin current induced by the spin Hall effect is considerably greater because of the orbital degrees of freedom. This fact attracts much attention due to its potential application in spintronics. We discuss various novel charge, spin and heat transport phenomena in strongly correlated metals.
Fermi liquids --- Physical Sciences & Mathematics --- Physics --- Sciences - General --- Atomic Physics --- Transport properties --- Physics. --- Condensed matter. --- Superconductivity. --- Superconductors. --- Condensed Matter Physics. --- Strongly Correlated Systems, Superconductivity. --- Fermi surfaces. --- Transport properties. --- Quantum liquids --- Surfaces, Fermi --- Electrons --- Energy-band theory of solids --- Free electron theory of metals --- Quantum statistics --- Superconducting materials --- Superconductive devices --- Cryoelectronics --- Electronics --- Solid state electronics --- Electric conductivity --- Critical currents --- Superfluidity --- Condensed materials --- Condensed media --- Condensed phase --- Materials, Condensed --- Media, Condensed --- Phase, Condensed --- Liquids --- Matter --- Solids --- Materials
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Modern electronic devices and novel materials often derive their extraordinary properties from the intriguing, complex behavior of large numbers of electrons forming what is known as an electron liquid. This book introduces the quantum theory of the electron liquid and the mathematical techniques that describe it. The electron liquid's behavior is governed by the laws of quantum mechanics which prevail over the microscopic world of atoms and molecules.
Fermi liquid theory --- Fermi surfaces --- Hartree-Fock approximation --- Many-body problem --- Quantum field theory --- 530.145 --- Quantum theory --- 530.145 Quantum theory --- Relativistic quantum field theory --- Field theory (Physics) --- Relativity (Physics) --- n-body problem --- Problem of many bodies --- Problem of n-bodies --- Mechanics, Analytic --- Hartree approximation --- Hartree-Fock-Slater approximation --- Approximation theory --- Atoms --- Energy-band theory of solids --- Self-consistent field theory --- Surfaces, Fermi --- Electrons --- Free electron theory of metals --- Quantum statistics --- Landau Fermi liquid theory --- Landau theory of Fermi liquids --- Landau's theory of Fermi liquids --- Fermi liquids
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