Journal
ANNALS OF PHYSICS
Volume 324, Issue 7, Pages 1452-1515Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.aop.2009.02.004
Keywords
Hubbard model; Superconductivity and superfluidity; Mott physics
Categories
Funding
- National Science Foundation (NSF) [DMR-0803200]
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Since the discovery of high-temperature superconductivity in 1986 by Bednorz and Muller, great efforts have been devoted to finding out how and why it works. From the d-wave symmetry of the order parameter, the importance of anti ferromagnetic fluctuations, and the presence of a mysterious pseudogap phase close to the Mott state, one can conclude that high-T-c superconductors are clearly distinguishable from the well-understood BCS superconductors. The d-wave Superconducting state can be understood through a Gutzwiller-type projected BCS wavefunction. In this review article, we revisit the Hubbard model at half-filling and focus on the emergence of exotic superconductivity with d-wave symmetry in the vicinity of the Mott state, starting from ladder systems and then studying the dimensional crossovers to higher dimensions. This allows to confirm that short-range antiferromagnetic fluctuations can mediate superconductivity with d-wave symmetry. Ladders are also nice prototype systems allowing to demonstrate the truncation of the Fermi surface and the emergence of a Resonating Valence Bond (RVB) state with preformed pairs in the vicinity of the Mott state. In two dimensions, a similar scenario emerges from renormalization group arguments. We also discuss theoretical predictions for the cl-wave superconducting phase as well as the pseudogap phase, and address the crossover to the overdoped regime. Finally, cold atomic systems with tunable parameters also provide a complementary insight into this outstanding problem. Published by Elsevier Inc.
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