Strongly correlated flat-band systems: The route from Heisenberg spins to Hubbard electrons
By O. Derzhko, J. Richter, M. Maksymenko. 2015
193 citations recorded by the source corpus.
In this review we recapitulate the basic features of the flat-band spin systems and briefly summarize earlier studies in the field. Main emphasis is made on recent developments which include results for both spin and electron flat-band models. In particular, for flat-band spin systems we highlight field-driven phase transitions for frustrated quantum Heisenberg antiferromagnets at low temperatures, chiral flat-band states, as well as the effect of a slight dispersion of a previously strictly flat band due to nonideal lattice geometry. For electronic systems, we discuss the universal low-temperature behavior of several flat-band Hubbard models, the emergence of ground-state ferromagnetism in the square-lattice Tasaki-Hubbard model and the related Pauli-correlated percolation problem, as well as the dispersion-driven ground-state ferromagnetism in flat-band Hubbard systems. Closely related studies and possible experimental realizations of the flat-band physics are also described briefly.
Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics, Materials Chemistry
View Paper: https://www.semanticscholar.org/paper/f5bc85a50e3bd3b9784e02b7751f6996ae91f4fe
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In Atomic and Molecular Physics, and Optics
- Sergej Flach
- Oleg V. Gendelman
- D. Leykam
- Alexei Andreanov
- Alexander F. Vakakis
- Gaetan Kerschen
- Yuli Starosvetsky
- Lawrence A. Bergman
In Condensed Matter Physics
Citations in the corpus
- Compact localized states and flat-band generators in one dimension (2016, background): “Flat band (FB) networks are tight-binding translationally invariant lattices which ensure the existence of one (or several) completely dispersionless bands in the spectrum [1].”
- Artificial flat band systems: from lattice models to experiments (2018, background): “[1] Oleg Derzhko, Johannes Richter, and Mykola Maksymenko, “Strongly correlated flat-band systems: The route from Heisenberg spins to Hubbard electrons,” Int.”