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The effect of strong interaction in quantum many-body systems tends to make their constituents be strongly correlated, resilting in configurations which are not just perturbations of the non-interacting or weakly interacting system.
The term strongly correlated systems hence refers in condensed matter theory largely to what in high energy physics are called non-perturbative effects.
The special properties of topologically ordered quantum materials are due strong correlation (of electrons, usually), such as for instance those of fractional quantum Hall systems.
strongly correlated electron systems (cf. topological order, FQH systems)
many models of magnetism, frustrated magnetism
High- superconductivity
Relevance of non-perturbative field theory-methods in condensed matter theory (quantum materials) and quantum information theory (topological quantum computation):
Alvaro Ferraz, Kumar S. Gupta, Gordon W. Semenoff, Pasquale Sodano (eds): Strongly Coupled Field Theories for Condensed Matter and Quantum Information Theory, Springer Proceedings in Physics 239, Springer (2020) [doi:10.1007/978-3-030-35473-2, pdf]
Peter Fulde, Correlated Electrons in Quantum Matter, World Scientific (2012) [doi:10.1142/8419, pdf]
Andreas Schadschneider, Götz S. Uhrig: Strongly Correlated Systems in Solid State Physics, lecture notes (2004) [pdf, pdf]
(focus on spin chain-models)
Jorge Quintanilla, Chris Hooley: The strong-correlations puzzle, Physics World, 22 06 (2009) [doi:10.1088/2058-7058/22/06/38, pdf, pdf]
Last revised on February 10, 2026 at 09:48:16. See the history of this page for a list of all contributions to it.