Theory of Superconductivity in Strongly Correlated Electron Systems

Abstract

In this article we review essential natures of superconductivity in strongly correlated electron systems (SCES) from a universal point of view. After summarizing experimental results on typical materials such as high-$T_{\mathrm{c}}$ cuprates, BEDT-TTF organic superconductors, and ruthenate Sr${}_2$RuO${}_4$, we review theoretical results for the analyses of superconducting properties of these materials based on the Fermi-liquid framework in the single- and multi-band Hubbard model. It is emphasized that the Coulomb interaction induces various types of anisotropic superconductivity, $d$- or p-wave, through the momentum dependence of quasi-particle interaction. While some inter-orbital interactions exist in the multi-orbital system, anisotropic superconductivity is induced by essentially the same mechanism, namely the momentum dependence of quasi-particle interaction. This is the understanding of the mechanism of superconductivity in SCES. Another important purpose of this article is to review anomalous electronic properties of SCES near the Mott transition. Especially, we focus on pseudogap phenomena observed in under-doped cuprates and organic superconductors. According to the recent theory, superconducting fluctuations, inherent in the quasi-two-dimensional and strong-coupling superconductors, are the origin of the pseudogap formation. Based on the microscopic theory of the superconducting fluctuations, we discuss the magnetic and transport properties as well as the single-particle spectra in the pseudogap state. As for heavy-fermion superconductors, experimental results are reviewed and several theoretical analyses on the mechanism are provided based on the same viewpoint as explained above.

120 pages. 32 PNG figures. To appear in Physics Reports. PDF figures are obtained in http://www9.plala.or.jp/cmtg/review.html

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• On the Relationship Between the Pseudo- and Superconducting Gaps: Effects of Residual Pairing Correlations Below Tc
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• Effect of Magnetic field on the Pseudogap Phenomena in High-Tc Cuprates
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• Attractive Hubbard model and single-particle pseudogap due to classical pairing fluctuations in two dimensions
• Fluctuation Effects in Underdoped Cuprate Superconductors under Magnetic Field
• Theory on Superconducting Transition from Pseudogap State
• A Mechanism of Spin-Triplet Superconductivity in Hubbard Model on Triangular La ttice: Application to UNi_2Al_3
• Vertex corrections in antiferromagnetic spin fluctuation theories
• Electrical Conductivity of Fermi Liquids. II. Quasiparticle Transport
• Fermi liquid interactions and the superfluid density in d-wave superconductors
• Fermi-Liquid Interactions in d-Wave Superconductor
• Quasiparticles and Phase Fluctuations in High Tc Superconductors
• Resistivity in the spin-gap state of the t-J model
• Spectral properties and pseudogaps in a model with d-wave pairing symmetry
• Effect of Umklapp Scattering on Magnetic Field Penetration Depth in High-Tc Cuprates
• Single-Particle Pseudogap in Two-Dimensional Electron Systems
• Fluctuation effects of gauge fields in the slave-boson t-J model
• Vertex Corrections in the Spin-fluctuation-induced Superconductivity

Cited by in corpus (142)

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• Universal contact of strongly interacting fermions at finite temperatures
• Multi-orbital analysis on the Superconductivity in Na_{x}CoO_{2} \cdot y H_{2}O
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• Sensitive dependence of pairing symmetry on Ni-$e_g$ crystal field splitting in the nickelate superconductor La${}_3$Ni${}_2$O${}_7$
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• Enhancing the Superconducting Transition Temperature in the Absence of Spin Correlations in Heavy Fermion Compound CeIrIn${}_5$
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• Is Fermi-surface nesting the origin of superconductivity in iron pnictides?: A fluctuation-exchange-approximation study
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• Off-site-repulsion induced Triplet Superconductivity: a possibility of chiral p${}_{x+y}$ pairing in Sr${}_2$RuO${}_4$
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• Unconventional Superconductivity in Heavy Fermion Systems
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• Efficient fluctuation exchange approach to low-temperature spin fluctuations and superconductivity: from the Hubbard model to Na${}_x$CoO${}_2\cdot y$H${}_2$O
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• Electron pairing and evidence of a BCS-BEC crossover in d-wave superconductors
• Supercurrent-induced antiferromagnetic order and spin-triplet pair generation in quantum critical d-wave superconductors
• Criterion for weak spin-orbit coupling in heavy-fermion superconductivity: A numerical renormalization-group study
• Anomalous Isotope Effect in Rattling-Induced Superconductor
• Possible Pairing Symmetry of Three-dimensional Superconductor UPt${}_3$ -- Analysis Based on a Microscopic Calculation --
• Hidden Bose-Einstein Singularities in Correlated Electron Systems: II. Pseudogap Phase in the Weakly Attractive Hubbard Model
• Near-flat-band-driven violation of Pauli limit in heavy fermion superconductors
• Quantum geometric magnetic monopole and two-phase superconductivity in CeRh${}_2$As${}_2$
• Weak coupling theory of nickel-based 327 superconductors