Transport Phenomena in Strongly Correlated Fermi Liquids
Transport Phenomena in Strongly Correlated Fermi Liquids

Author: Hiroshi Kontani

Publisher: Springer

Published: 2013-02-11

Total Pages: 178

ISBN-13: 3642353657

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In conventional metals, various transport coefficients are scaled according to the quasiparticle 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 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.

Transport Phenomena in Strongly Correlated Fermi Liquids
Transport Phenomena in Strongly Correlated Fermi Liquids

Author: Hiroshi Kontani

Publisher: Springer

Published: 2013-02-12

Total Pages: 173

ISBN-13: 9783642353666

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In conventional metals, various transport coefficients are scaled according to the quasiparticle 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 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.

Thermal Transport in Strongly Correlated Rare-Earth Intermetallic Compounds
Thermal Transport in Strongly Correlated Rare-Earth Intermetallic Compounds

Author: Heike Pfau

Publisher: Springer

Published: 2016-07-20

Total Pages: 133

ISBN-13: 3319395432

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This thesis explores thermal transport in selected rare-earth-based intermetallic compounds to answer questions of great current interest. It also sheds light on the interplay of Kondo physics and Fermi surface changes. By performing thermal conductivity and electrical resistivity measurements at temperatures as low as 25mK, the author demonstrates that the Wiedemann–Franz law, a cornerstone of metal physics, is violated at precisely the magnetic-field-induced quantum critical point of the heavy-fermion metal YbRh2Si2. This first-ever observation of a violation has dramatic consequences, as it implies a breakdown of the quasiparticle picture. Utilizing an innovative technique to measure low-temperature thermal transport isothermally as a function of the magnetic field, the thesis interprets specific, partly newly discovered, high-field transitions in CeRu2Si2 and YbRh2Si2 as Lifshitz transitions related to a change in the Fermi surface. Lastly, by applying this new technique to thermal conductivity measurements of the skutterudite superconductor LaPt4Ge12, the thesis proves that the system is a conventional superconductor with a single energy gap. Thus, it refutes the widespread speculations about unconventional Cooper pairing in this material.

Electron Correlation in Metals
Electron Correlation in Metals

Author: K. Yamada

Publisher: Cambridge University Press

Published: 2010-06-24

Total Pages: 257

ISBN-13: 1139453068

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Since the discovery of high Tc superconductivity, the role of electron correlation on superconductivity has been an important issue in condensed matter physics. Here the role of electron correlation in metals is explained in detail on the basis of the Fermi liquid theory. The book, originally published in 2004, discusses the following issues: enhancements of electronic specific heat and magnetic susceptibility, effects of electron correlation on transport phenomena such as electric resistivity and Hall coefficient, magnetism, Mott transition and unconventional superconductivity. These originate commonly from the Coulomb repulsion between electrons. In particular, superconductivity in strongly correlated electron systems is discussed with a unified point of view. This book is written to explain interesting physics in metals for undergraduate and graduate students and researchers in condensed matter physics.

Physical Phenomena At High Magnetic Fields - Iv
Physical Phenomena At High Magnetic Fields - Iv

Author: Gregory S Boebinger

Publisher: World Scientific

Published: 2002-07-01

Total Pages: 542

ISBN-13: 9814488968

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Physical Phenomena at High Magnetic Fields IV (PPHMF-IV) was the fourth in the series of conferences sponsored by the National High Magnetic Field Laboratory (NHMFL). The success of PPHMF-I, II and III, held in 1991, 1995 and 1998 respectively, encouraged the organizers to once again bring together experts in scientific research areas where high magnetic fields play an important role, to critically assess the current status of research in these areas, and to discuss promising new directions in science, as well as applications which are in the forefront of these fields.

Theory of Heavy-Fermion Compounds
Theory of Heavy-Fermion Compounds

Author: Miron Ya. Amusia

Publisher: Springer

Published: 2014-10-25

Total Pages: 375

ISBN-13: 3319108255

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This book explains modern and interesting physics in heavy-fermion (HF) compounds to graduate students and researchers in condensed matter physics. It presents a theory of heavy-fermion (HF) compounds such as HF metals, quantum spin liquids, quasicrystals and two-dimensional Fermi systems. The basic low-temperature properties and the scaling behavior of the compounds are described within the framework of the theory of fermion condensation quantum phase transition (FCQPT). Upon reading the book, the reader finds that HF compounds with quite different microscopic nature exhibit the same non-Fermi liquid behavior, while the data collected on very different HF systems have a universal scaling behavior, and these compounds are unexpectedly uniform despite their diversity. For the reader's convenience, the analysis of compounds is carried out in the context of salient experimental results. The numerous calculations of the non-Fermi liquid behavior, thermodynamic, relaxation and transport properties, being in good agreement with experimental facts, offer the reader solid grounds to learn the theory's applications. Finally, the reader will learn that FCQPT develops unexpectedly simple, yet completely good description of HF compounds.

Spectroscopy of Mott Insulators and Correlated Metals
Spectroscopy of Mott Insulators and Correlated Metals

Author: Atsushi Fujimori

Publisher: Springer Science & Business Media

Published: 1995

Total Pages: 296

ISBN-13: 9783540589716

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I Theory of Mott Transition and Correlated Metals.- Classification Scheme of the Metal-Insulator Transition and Anomalous Metals.- The Mott Transition: Results from Mean-Field Theory.- Some Aspects of Spin Gap in One- and Two-Dimensional Systems.- Quasi-Particles in Two-Dimensional Hubbard Model: Splitting of Spectral Weight.- Almost Localized Fermions and Mott-Hubbard Transitions at Non-Zero Temperature.- Anomalous Physical Properties Around Magnetic and Metal-Insulator Transitions - A Spin-Fluctuation Theory.- Exact Diagonalization Study of Strongly Correlated Electron Models: Hole Pockets and Shadow Bands in the Doped t - J Model.- II Electronic Structure.- Electronic Band Structures of LaMO3 (M = Ti, V, Cr, ..., Ni, Cu) in the Local Spin-Density Approximation.- First-Principles Calculations of the Electronic Structure and Spectra of Strongly Correlated Systems: LDA + U Method.- Unrestricted Hartree-Fock Study of Perovskite-iype Transition-Metal Oxides.- Electronic Structure of Transition Metal Compounds.- Core-Level Spectroscopy in Early-Transition-Metal Compounds.- Systematics of Optical Gaps in Perovskite-iype 3d Transition Metal Oxides.- III Charge Transport and Excitations.- Optical Spectroscopy on the Mott Transition in Perovskiteiype Titanates.- Spectral Weight Transfer and Mass Renormalization in Correlated d-Electron Systems.- Charge Transport Properties of Strongly Correlated Metals near Charge Transfer Insulator to Metal Transition.- Infrared Studies of Kondo Insulator and Related Compounds.- IV Magnetic Response.- Magnetic Correlations in Doped Transition-Metal Oxides.- Spin and Charge Differentiation in Doped CuO2 Planes Observed by Cu NMR/NQR Spectra.- Orbital-Spin Coupling in V2O3 and Related Oxides.- Magnetic and Transport Properties of the Kondo Lattice Model with Ferromagnetic Exchange Coupling.- V New Materials.- Superconductivity, Magnetism and Metal-Insulator Transitions in Some Ternary and Pseudoternary 3d-, 4d-, and 5d-Metal Oxides.- NMR Studies of Superconductivity and Metal-Insulator Transition in Cu Spinel CuM2X4 (M = Rh, Ir and X = S, Se).- Index of Contributors.