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Chin. Phys. B, 2014, Vol. 23(7): 077308    DOI: 10.1088/1674-1056/23/7/077308
Special Issue: TOPICAL REVIEW — Magnetism, magnetic materials, and interdisciplinary research

Exotic electronic states in the world of flat bands:From theory to material

Liu Zhenga, Liu Fenga b, Wu Yong-Shic d
a Department of Materials Science and Engineering, University of Utah, Salt Lake City, UT 84112, USA;
b Collaborative Innovation Center of Quantum Matter, Beijing 100084, China;
c State Key Laboratory of Surface Physics and Department of Physics, Fudan University, Shanghai 200433, China;
d Department of Physics and Astronomy, University of Utah, Salt Lake City, UT 84112, USA

It has long been noticed that special lattices contain single-electron flat bands (FB) without any dispersion. Since the kinetic energy of electrons is quenched in the FB, this highly degenerate energy level becomes an ideal platform to achieve strongly correlated electronic states, such as magnetism, superconductivity, and Wigner crystal. Recently, the FB has attracted increasing interest because of the possibility to go beyond the conventional symmetry-breaking phases towards topologically ordered phases, such as lattice versions of fractional quantum Hall states. This article reviews different aspects of FBs in a nutshell. Starting from the standard band theory, we aim to bridge the frontier of FBs with the textbook solidstate physics. Then, based on concrete examples, we show the common origin of FBs in terms of destructive interference, and discuss various many-body phases associated with such a singular band structure. In the end, we demonstrate real FBs in quantum frustrated materials and organometallic frameworks.

Keywords:  electronic band structure      strongly-correlated electrons      topological material  
Received:  03 April 2014      Revised:  15 May 2014      Accepted manuscript online: 
PACS:  73.43.Cd (Theory and modeling)  
  73.61.Ph (Polymers; organic compounds)  
  71.10.Fd (Lattice fermion models (Hubbard model, etc.))  

Project supported by the Department Of Energy, Office of Basic Energy Sciences, USA (Grant No. DE-FG02-03ER46027) and the U. S. Natural Science Foundation (Grant No. PHY-1068558).

Corresponding Authors:  Liu Feng     E-mail:
About author:  73.43.Cd; 73.61.Ph; 71.10.Fd

Cite this article: 

Liu Zheng, Liu Feng, Wu Yong-Shi Exotic electronic states in the world of flat bands:From theory to material 2014 Chin. Phys. B 23 077308

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