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Superconductivity and Pseudogaps in the Hubbard Model and Copper Oxide Superconductors

Andrew J. Millis, Emanuel Gull

Mar 13, 20140 citations

Exploration of pseudogap scenarios in the three-orbital Hubbard model of cuprate superconductors

Y. F. Kung, Cheng-Chien Chen, Elizabeth Nowadnick +3 more

Bulletin of the American Physical SocietyMar 3, 20140 citations

Phase Diagrams and the Physics of the Pseudogap in Superconductors with Attractive Interaction

M. Yu. Kagan

Lecture notes in physicsJan 1, 20131 citation

Models of the pseudogap state in cuprates

Michael V. Sadovskii

arXiv:cond-mat/9912318Physica C SuperconductivityNov 1, 20007 citations

Quantum dimer model for the pseudogap metal

Matthias Punk, Andrea Allais, Subir Sachdev A

Significance The most interesting states of the copper oxide compounds are not the superconductors with high critical temperatures. Instead, the novelty lies primarily in the higher temperature metallic “normal” states from which the superconductors descend. Here, we develop a simple, intuitive model for the physics of the metal at low carrier density, in the “pseudogap” regime. This model describes an exotic metal that is similar in many respects to simple metals like silver. However, the simple metallic character coexists with “topological order” and long-range quantum entanglement previously observed only in exotic insulators or fractional quantum Hall states in very high magnetic fields. Our model is compatible with many recent observations, and we discuss more definitive experimental tests.Significance The most interesting states of the copper oxide compounds are not the superconductors with high critical temperatures. Instead, the novelty lies primarily in the higher temperature metallic “normal” states from which the superconductors descend. Here, we develop a simple, intuitive model for the physics of the metal at low carrier density, in the “pseudogap” regime. This model describes an exotic metal that is similar in many respects to simple metals like silver. However, the simple metallic character coexists with “topological order” and long-range quantum entanglement previously observed only in exotic insulators or fractional quantum Hall states in very high magnetic fields. Our model is compatible with many recent observations, and we discuss more definitive experimental tests.

arXiv:1501.00978Proceedings of the National Academy of SciencesJul 20, 201583 citations

Non-Fermi liquid behavior in a simple model of Fermi arcs and pseudogap

Ruojun Wang, Kun Yang

In this paper, we consider a perturbed version of a very simple and exactly solvable model that supports Fermi arcs and pseudogap in its ground state and excitation spectrum, which includes Hubbard-like interactions in both momentum and real spaces. We find that the combined effects give rise to non-Fermi liquid behavior in the electron self-energy. This points to a novel mechanism that leads to non-Fermi liquid behavior, which is of strong current interest in the context of strongly correlated metals, that often become superconductors. Comparison will be made with phenomenology of high- temperature cuprate superconductors.In this paper, we consider a perturbed version of a very simple and exactly solvable model that supports Fermi arcs and pseudogap in its ground state and excitation spectrum, which includes Hubbard-like interactions in both momentum and real spaces. We find that the combined effects give rise to non-Fermi liquid behavior in the electron self-energy. This points to a novel mechanism that leads to non-Fermi liquid behavior, which is of strong current interest in the context of strongly correlated metals, that often become superconductors. Comparison will be made with phenomenology of high- temperature cuprate superconductors.

arXiv:2301.04556Modern Physics Letters BJun 28, 20235 citations

From semiconductors to superconductors: a simple model for pseudogaps

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