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

doi:10.1088/1674-1056/23/7/077308

中国物理B ›› 2014, Vol. 23 ›› Issue (7): 77308-077308.doi: 10.1088/1674-1056/23/7/077308

所属专题： TOPICAL REVIEW — Magnetism, magnetic materials, and interdisciplinary research

• CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES • 上一篇下一篇

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

刘峥^a, 刘锋^{a b}, 吴咏时^{c 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

收稿日期:2014-04-03 修回日期:2014-05-15 出版日期:2014-07-15 发布日期:2014-07-15
基金资助:
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).

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

Liu Zheng (刘峥)^a, Liu Feng (刘锋)^{a b}, Wu Yong-Shi (吴咏时)^{c 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

Received:2014-04-03 Revised:2014-05-15 Online:2014-07-15 Published:2014-07-15
Contact: Liu Feng E-mail:fliu@eng.utah.edu
About author:73.43.Cd; 73.61.Ph; 71.10.Fd
Supported by:
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).

摘要/Abstract

摘要：

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.

关键词: electronic band structure, strongly-correlated electrons, topological material

Abstract:

Key words: electronic band structure, strongly-correlated electrons, topological material

中图分类号: (Theory and modeling)

73.43.Cd

73.61.Ph (Polymers; organic compounds) 71.10.Fd (Lattice fermion models (Hubbard model, etc.))

刘峥, 刘锋, 吴咏时. Exotic electronic states in the world of flat bands：From theory to material[J]. 中国物理B, 2014, 23(7): 77308-077308.

Liu Zheng (刘峥), Liu Feng (刘锋), Wu Yong-Shi (吴咏时). Exotic electronic states in the world of flat bands：From theory to material[J]. Chin. Phys. B, 2014, 23(7): 77308-077308.

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

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

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